id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
nucl-th/9303008 | Relation between the phenomenological interactions of the algebraic
cluster model and the effective two--nucleon forces | We determine the phenomenological cluster--cluster interactions of the
algebraic model corresponding to the most often used effective two--nucleon
forces for the $^{16}$O + $\alpha$ system. | 1993-03-11 | 2008-11-26 | [
"nucl-th"
] | K. Varga and J. Cseh |
nucl-th/9303006 | The Onset of Color Transparency in $(e,e'p)$ Reactions on Nuclei | Quantum filtering of the ejectile wave packet from hard $ep$ scattering on
bound nucleons puts stringent constraints on the onset of color transparency in
$(e,e'p)$ reactions in nuclei at moderate energies. Based on
multiple-scattering theory, we derive a novel formula for nuclear transparency
and discuss its energy de... | 1993-03-10 | 2008-11-26 | [
"nucl-th"
] | N.N. Nikolaev, A. Szczurek, J. Speth, J. Wambach, B.G. Zakhorov and
V.R. Zoller |
nucl-th/9303005 | Off-shell Behavior of the $\pi\!-\!\eta$ Mixing Amplitude | We extend a recent calculation of the momentum dependence of the
$\rho-\omega$ mixing amplitude to the pseudoscalar sector. The $\pi\!-\!\eta$
mixing amplitude is calculated in a hadronic model where the mixing is driven
by the neutron-proton mass difference. Closed-form analytic expressions are
presented in terms of a... | 1993-03-08 | 2008-11-26 | [
"nucl-th"
] | J. Piekarewicz |
nucl-th/9303003 | Atomic parity nonconservation and neutron radii in cesium isotopes | The interpretation of future precise experiments on atomic parity violation
in terms of parameters of the Standard Model could be hampered by uncertainties
in the atomic and nuclear structure. While the former can be overcome by
measurement in a series of isotopes, the nuclear structure requires knowledge
of the neutro... | 1993-03-05 | 2008-11-26 | [
"nucl-th"
] | B. Q. Chen and P. Vogel |
nucl-th/9303004 | Parton Equilibration in Relativistic Heavy Ion Collisions | We investigate the processes leading to phase-space equilibration of parton
distributions in nuclear interactions at collider energies. We derive a set of
rate equations describing the chemical equilibration of gluons and quarks
including medium effects on the relevant QCD transport coefficients, and
discuss their cons... | 1993-03-05 | 2008-11-26 | [
"nucl-th",
"hep-ph"
] | T.S. Biro, E. van Doorn, B. Mueller, M.H. Thoma, and X.N. Wang |
nucl-th/9303002 | Generalized $^3P_0$ and $^3S_1$ Annihilation Potentials for $\bar{p}p$
Decay into Two Mesons based on a Simple Quark Model | Within the quark model a generalization is proposed of the commonly used
annihilation potential to describe antiproton-proton annihilation into two
mesons, the so-called $^3P_0$ and $^3S_1$ mechanisms. This generalized
potential treats the two mechanisms in a more symmetric way, has additional
angular dependence, and r... | 1993-03-04 | 2009-10-22 | [
"nucl-th"
] | G. Bathas and W.M. Kloet |
nucl-th/9303001 | M1 Resonances in Unstable Magic Nuclei | Within a microscopic approach which takes into account RPA configurations,
the single-particle continuum and more complex $1p1h\otimes phonon$
configurations isoscalar and isovector M1 excitations for the unstable nuclei
${56,78}$Ni and ${100,132}$Sn are calculated. For comparison, the
experimentally known M1 excitatio... | 1993-03-01 | 2015-06-26 | [
"nucl-th"
] | S. Kamerdzhiev, J. Speth, G. Tertychny, and J. Wambach |
nucl-th/9302016 | Particle-particle correlations and the space-time structure of heavy ion
collisions | The present status of the use of two-particle intensity interferometry as a
diagnostic tool to study the space-time dynamics of intermediate energy heavy
ion collisions is examined. Calculations for the two-proton and two-pion
correlation functions are presented and compared to experiment. The
calculations are based on... | 1993-02-26 | 2009-10-22 | [
"nucl-th"
] | Wolfgang Bauer |
nucl-th/9302015 | Effective Hamiltonians with Relativistic Corrections II: Application to
Compton Scattering by a Proton | We discuss two different methods of obtaining ``effective $2 \times 2$
Hamiltonians'' of the electromagnetic interaction which include relativistic
corrections. One is the standard Foldy--Wouthuysen transformation which we
compare with the Hamiltonian obtained from a direct reduction of the matrix
element of the intera... | 1993-02-25 | 2009-10-22 | [
"nucl-th",
"hep-ph"
] | S. Scherer, G. I. Poulis and H. W. Fearing |
nucl-th/9302014 | Effective Hamiltonians with Relativistic Corrections I: The
Foldy--Wouthuysen transformation versus the direct Pauli reduction | Two different methods of obtaining ``effective $2\times 2$ Hamiltonians''
which include relativistic corrections to nonrelativistic calculations are
discussed, the standard Foldy--Wouthuysen transformation and what we call the
``direct Pauli reduction''. We wish to investigate under which circumstances
the two approach... | 1993-02-25 | 2009-10-22 | [
"nucl-th",
"hep-ph"
] | H. W. Fearing, G. I. Poulis and S. Scherer |
nucl-th/9302012 | Pre-equilibrium dileptons look thermal | The dilepton mass distribution from pre-equilibrium matter in
ultrarelativistic nuclear collisions is indistinguishable from a thermally
produced distribution. | 1993-02-24 | 2009-10-22 | [
"nucl-th"
] | David Seibert and Tanguy Altherr (Theory Division, CERN, CH-1211
Geneva 23, Switzerland) |
nucl-th/9302013 | The Coulomb Sum and Proton-Proton Correlations in Few-Body Nuclei | In simple models of the nuclear charge operator, measurements of the Coulomb
sum and the charge form factor of a nucleus directly determine the
proton-proton correlations. We examine experimental results obtained for
few-body nuclei at Bates and Saclay using models of the charge operator that
include both one- and two-... | 1993-02-24 | 2008-11-26 | [
"nucl-th"
] | R. Schiavilla, R. B. Wiringa, and J. Carlson |
nucl-th/9302011 | Modeling Complex Nuclear Spectra - Regularity versus Chaos | A statistical analysis of the spectrum of two particle - two hole doorway
states in a finite nucleus is performed. On the unperturbed mean-field level
sizable attractive correlations are present in such a spectrum. Including
particle-hole rescattering effects via the residual interaction introduces
repulsive dynamical ... | 1993-02-24 | 2009-10-22 | [
"nucl-th"
] | S. Drozdz, S. Nishizaki, J. Speth and J. Wambach |
nucl-th/9302010 | Determination of two-body potentials from n-body spectra | We show how the two-body potential may be uniquely determined from n-body
spectra where the hypercentral approximation is valid. We illustrate this by
considering an harmonic oscillator potential which has been altered by changing
the energy or normalisation constant of the ground state of the n-body system
and finding... | 1993-02-23 | 2009-10-22 | [
"nucl-th"
] | E.J.O. Gavin, H.Leeb and H. Fiedeldey |
nucl-th/9302009 | Model for the Quasifree Polarization-Transfer Measurements in the (p,n)
reaction at 495 MeV | The recent (p,n) polarization transfer experiments at LAMPF are explained in
terms of a dropping rho-meson mass in the medium. | 1993-02-23 | 2009-10-22 | [
"nucl-th"
] | G.E. Brown and J. Wambach |
nucl-th/9302008 | The $^3S_1-^3D_1$ effective-range parameters of some realistic
nucleon-nucleon potentials | We consider the $P$- and $Q$-shape parameters in the eigenphase and `bar'
phase shift representations for the two Reid potentials and the more recent
Moscow potential. The values of these parameters were obtained from integrals
of the zero-energy wave function in a similar manner to that for the effective
range. Such e... | 1993-02-18 | 2009-10-22 | [
"nucl-th"
] | W. van Dijk, M.W. Kermode, and D-C Zheng |
nucl-th/9302007 | NN Core Interactions and Differential Cross Sections from One Gluon
Exchange | We derive nonstrange baryon-baryon scattering amplitudes in the
nonrelativistic quark model using the ``quark Born diagram" formalism. This
approach describes the scattering as a single interaction, here the
one-gluon-exchange (OGE) spin-spin term followed by constituent interchange,
with external nonrelativistic baryo... | 1993-02-17 | 2008-11-26 | [
"nucl-th"
] | T. Barnes, S. Capstick, M.D. Kovarik, and E.S. Swanson |
nucl-th/9302006 | The Beta Decay of 44V | We have calculated the $\beta^+$ decay of the proton rich nuclei $^{44}$V in
a full fp-shell valence space. We obtain a theoretical half-life of 71~ms
compared with the experimental value t$_{1/2}$ = 90 $\pm$ 25 ms. Besides, we
make predictions for the Gamow-Teller strength functions corresponding to the
decays of the ... | 1993-02-12 | 2008-11-26 | [
"nucl-th"
] | G. Martinez-Pinedo and A. Poves |
nucl-th/9302005 | Can Plasma Scattering Mimic a Cosmological Red-Shift? | We investigate the extent to which the scattering of light from plasma
fluctuations can mimic a cosmological red-shift, as has been suggested by Wolf
et al. A plasma model for the plasma structure function results in a spectrum
of scattered light very different from that associated with a constant
red-shift, implying t... | 1993-02-09 | 2007-05-23 | [
"nucl-th"
] | S. Schramm and S. E. Koonin |
nucl-th/9302004 | Relativistic and Nuclear Structure Effects in Parity-Violating
Quasielastic Electron Scattering | The parity violating longitudinal asymmetry ${\cal A}$ is calculated for
quasielastic electron scattering. We use a variety of relativistic mean field
models for the response of nuclear matter and $^{12}$C at a momentum transfer
of q=550 MeV/c. Relativistic effects from a reduced nucleon mass, RPA
correlations and vacu... | 1993-02-05 | 2008-11-26 | [
"nucl-th"
] | C.J. Horowitz and J. Piekarewicz |
nucl-th/9302003 | Spin and Flavour: Concluding Remarks | Summmary talk at the Workshop on Sin and Flavour in Hadronic and
Electromagnetic Interactions, Turin (Italy), september 1992, to appear in the
Proceedings, | 1993-02-05 | 2007-05-23 | [
"nucl-th",
"hep-ph"
] | Jean-Marc Richard |
nucl-th/9302002 | Test of Time Reversal Invariance in Proton Deuteron System | Internal target experiments with high quality proton beams allow for a new
class of experiments providing null tests of time reversal symmetry in forward
scattering. This could yield more stringent limits on T-odd P-even observables.
A excellent candidate for such experiments is the proton deuteron system. This
system ... | 1993-02-03 | 2009-10-22 | [
"nucl-th",
"hep-ph"
] | Michael Beyer (Inst. Theoretische Kernphysik, Univ. Bonn FRG) |
nucl-th/9302001 | Medium corrections to the tensor interaction in nuclei: Energy
difference of T=1 and T=0 J=0- states in 16O | It has been shown in the past that in a shell model calculation, restricted
to 1Hbar*Omega 1p-1h configurations, the energy splitting between the lowest
J=0-, T=0 and J=0-, T=1 states in 16O is mainly due to the tensor component of
the nucleon-nucleon interaction. In this work, we extend the calculation to
include 3Hba... | 1993-02-02 | 2009-10-22 | [
"nucl-th"
] | D. C. Zheng, L. Zamic, and H. M\"uther |
nucl-th/9301022 | Geometry, Scaling and Universality in the Mass Distributions in Heavy
Ion Collisions | Various features of the mass yields in heavy ion collisions are studied. The
mass yields are discussed in terms of iterative one dimensional discrete maps.
These maps are shown to produce orbits for a monomer or for a nucleus which
generate the mass yields and the distribution of cluster sizes. Simple
Malthusian dynami... | 1993-02-01 | 2008-11-26 | [
"nucl-th"
] | A.Z. Mekjian and S.J. Lee |
nucl-th/9301021 | Self-Similarity and Scaling Behavior in Nuclear Collision | A simple model is used to explore issues related to self-similarity,
intermittency and scaling behavior in nuclear collisions. Both scaled factorial
moments and power moments are considered in the investigation of these
features. The product mass yields are used to construct probability
distributions and generalized Re... | 1993-02-01 | 2008-11-26 | [
"nucl-th"
] | S.J. Lee and A.Z.Mekjian |
nucl-th/9301019 | Nucleon-Nucleon Potentials in Comparison: Physics or Polemics? | Guided by history, we review the major developments concerning realistic
nucleon-nucleon (NN) potentials since the pioneering work by Kuo and Brown on
the effective nuclear interaction. Our main emphasis is on the physics
underlying various models for the NN interaction developed over the past
quarter-century. We comme... | 1993-01-29 | 2009-10-22 | [
"nucl-th"
] | R. Machleidt and G.Q. Li (University of Idaho) |
nucl-th/9301020 | Comment on Shadow model for sub-barrier fusion applied to light systems | We demonstrate that the cross sections derived from the "shadow model" for
reactions between light nuclei disagree with low-energy laboratory data and
exhibit unphysical behavior at energies below those for which data exist. As a
consequence, the large thermonuclear reaction rates obtained by Scalia and
Figuera [Phys. ... | 1993-01-29 | 2009-10-22 | [
"nucl-th"
] | C. A. Barnes, S. E. Koonin, and K. Langanke |
nucl-th/9301018 | The Astrophysical S-Factor of the Reaction $^7$be(p,$\gamma$)$^8$B in
the Direct Capture Model | The astrophysical $S$-factor for the reaction $^7$Be(p,$\gamma$)$^8$B up to
an energy of 2~MeV (c.m.) and the capture cross section of
$^7$Li(n,$\gamma$)$^8$Li up to 1~MeV (c.m.) are calculated using the Direct
Capture model (DC). Both calculations are in good agreement with experimental
data. | 1993-01-27 | 2012-07-25 | [
"nucl-th"
] | H. Krauss, K. Gr"un, T. Rauscher, H. Oberhummer |
nucl-th/9301017 | Role of Vector Mesons in High-Q^2 Lepton-Nucleon Scattering | The possible role played by vector mesons in inclusive deep inelastic
lepton-nucleon scattering is investigated. In the context of the convolution
model, we calculate self-consistently the scaling contribution to the nucleon
structure function using the formalism of time-ordered perturbation theory in
the infinite mome... | 1993-01-27 | 2009-10-22 | [
"nucl-th"
] | W.Melnitchouk and A.W.Thomas (Univ. of Adelaide) |
nucl-th/9301016 | Shadowing in Deuterium | We calculate nuclear shadowing in lepton-deuteron deep inelastic scattering,
which arises from the double scattering of the virtual photon from both
nucleons in the deuteron. The total correction to the deuteron structure
function is found to be less than about 1\% at small Bjorken-x, but dependent
on the model deutero... | 1993-01-22 | 2008-11-26 | [
"nucl-th"
] | W.Melnitchouk and A.W.Thomas (Univ.Adelaide) |
nucl-th/9301015 | Correlation between the quenching of total GT+ strength and the increase
of E2 strength | Relations between the total beta+ Gamow-Teller (GT+) strength and the E2
strength are further examined. It is found that in shell-model calculations for
N=Z nuclei, in which changes in deformation are induced by varying the
single-particle energies, the total GT+ or GT- strength decreases monotonically
with increasing ... | 1993-01-21 | 2008-11-26 | [
"nucl-th"
] | N. Auerbach, D. C. Zheng, L. Zamick and B. A. Brown |
nucl-th/9301014 | Momentum distribution of fragments in heavy ion reactions: Dependence on
the stochastic collision process | Momentum distribution of fragments produced in 12C+12C reaction at 28.7
MeV/nucleon is analyzed with antisymmetrized version of molecular dynamics
(AMD). Calculations are made for several cases of stochastic collisions and the
projectile fragmentation peak in momentum distribution is reproduced by the
incorporation of ... | 1993-01-21 | 2008-11-26 | [
"nucl-th"
] | A.Ono, H.Horiuchi, T.Maruyama and A.Ohnishi |
nucl-th/9301013 | Exact Solutions of Model Hamiltonian Problems with Effective
Interactions | We demonstrate with soluble models how to employ the effective Hamiltonian
approach of Lee and Suzuki to obtain all the exact eigenvalues of the full
Hamiltonian. We propose a new iteration scheme to obtain the effective
Hamiltonian and demonstrate its convergence properties. | 1993-01-20 | 2016-09-08 | [
"nucl-th"
] | D. C. Zheng, J. P. Vary, and B. R. Barrett |
nucl-th/9301012 | Relativistic Ring-Diagram Nuclear Matter Calculations | A relativistic extension of the particle-particle hole-hole ring-diagram
many-body formalism is developed by using the Dirac equation for
single-particle motion in the medium. Applying this new formalism, calculations
are performed for nuclear matter. The results show that the saturation density
is improved and the equ... | 1993-01-20 | 2008-11-26 | [
"nucl-th"
] | M.F. Jiang, R. Machleidt, and T.T.S. Kuo |
nucl-th/9301011 | Extracting Nuclear Transparency from p-A Cross sections | We study nuclear structure effects on the transparency in high transverse
momentum $(p,2p)$ and $(e,e'p)$ reactions. We show that in the DWIA-eikonal
approximation, even when correlations are included, one can get a factorized
expression for the transparency. This depends only on the average nucleon
density $\rho(r)$ a... | 1993-01-17 | 2008-11-26 | [
"nucl-th"
] | Sherman Frankel, William Frati, and Niels R. Walet |
nucl-th/9301010 | Analysis techniques for high-multiplicity collisions | I discuss methods for identifying and quantifying phase transitions in
particle collisions, concentrating on two techniques for use in
ultra-relativistic nuclear collisions. The first technique is to use rapidity
correlation measurements to determine the correlation length, while the second
is to use the transverse mas... | 1993-01-15 | 2007-05-23 | [
"nucl-th"
] | David Seibert (Theory Division, CERN, CH-1211 Geneva 23, Switzerland) |
nucl-th/9301009 | Chemical equilibration of $\pi$, $\rho$ and $\omega$ mesons in
ultra--relativistic nuclear collisions | I estimate the degree of local chemical equilibration for $\pi$, $\rho$ and
$\omega$ mesons in ultra--relativistic nuclear collisions. The $\pi$ and $\rho$
mesons remain near chemical equilibrium in all cases, while the $\omega$ meson
density is typically 30--50\% higher than the equilibrium value for O+Ag
collisions a... | 1993-01-14 | 2008-02-03 | [
"nucl-th"
] | David Seibert (Theory Division, CERN, CH--1211 Geneva 23, Switzerland
and Physics Department, Kent State University, Kent, OH USA) |
nucl-th/9301008 | Correlation measurements in high-multiplicity events | Requirements for correlation measurements in high--multiplicity events are
discussed. Attention is focussed on detection of so--called hot spots,
two--particle rapidity correlations, two--particle momentum correlations (for
quantum interferometry) and higher--order correlations. The signal--to--noise
ratio may become l... | 1993-01-13 | 2008-11-26 | [
"nucl-th"
] | David Seibert (Physics Department, Kent State University, Kent, OH and
Theoretical Physics Institute, University of Minnesota, Minneapolis) |
nucl-th/9301007 | A Quark Model of Antilambda-Lambda Production in Pbar-P Interactions | A quark model which includes both scalar and vector contributions to the
reaction mechanism is used in a DWBA calculation of total and differential
cross-sections, polarizations, and spin correlation coefficients for the
reaction $\bar p p \rightarrow \bar \Lambda \Lambda$ at laboratory momenta from
threshold to 1.92 G... | 1993-01-12 | 2008-11-26 | [
"nucl-th"
] | M.A. Alberg, E.M. Henley, L. Wilets and P.D. Kunz |
nucl-th/9301006 | Near-Threshold Production of $\eta$-Mesons | It is shown that the striking energy variation in the $p\, d \rightarrow
\mbox{$^{\, 3}{\rm He}$}\, \eta$ cross section near threshold is probably due
to a final state interaction associated with a large (complex) $\eta
-\mbox{$^{3}{\rm He}$}$ scattering length. The consequences of this hypothesis
are studied for the p... | 1993-01-11 | 2008-11-26 | [
"nucl-th"
] | Colin Wilkin |
nucl-th/9301005 | Revealing Intermittency in Nuclear Multifragmentation with 4$\PI$
Detectors | The distortion on the intermittency signal, due to detection efficiency and
to the presence of pre--equilibrium emitted particles, is studied in a
schematic model of nuclear multi- fragmentation. The source of the
intermittency signal is modeled with a percolating system. The efficiency is
schematized by a simple funct... | 1993-01-07 | 2008-11-26 | [
"nucl-th"
] | M.Baldo, A.Causa and A.Rapisarda |
nucl-th/9301004 | Pion interaction with the trinucleon up to the eta production threshold | Pion elastic, charge exchange scattering and induced eta production on the
trinucleon systems are investigated in a coupled-channels approach in momentum
space with Fadeev wave functions. The channel $\pi N \rightarrow \eta N$ is
included using an isobar model with S-, P-, and D-wave resonances. While the
coherent reac... | 1993-01-06 | 2008-11-26 | [
"nucl-th"
] | S.S. Kamalov, L. Tiator and C. Bennhold |
nucl-th/9301003 | Neutron matter - Quark matter phase transition and Quark star | We consider the neutron matter quark matter phase transition along with
possible existence of hybrid quark stars. The equation of state for neutron
matter is obtained using a nonperturbative method with pion dressing of the
neutron matter and an analysis similar to that of symmetric nuclear matter. The
quark matter sec... | 1993-01-05 | 2010-11-01 | [
"nucl-th"
] | H. Mishra, S.P. Misra, P.K. Panda and B.K. Parida |
nucl-th/9301002 | The Momentum Dependence of the $\rho-\omega$ Mixing Amplitude in a
Hadronic Model | We calculate the momentum dependence of the $\rho-\omega$ mixing amplitude in
a purely hadronic model. The basic assumption of the model is that the mixing
amplitude is generated by $N{\bar{N}}$ loops and thus driven entirely by the
neutron-proton mass difference. The value of the amplitude at the
$\omega$-meson point ... | 1993-01-04 | 2008-11-26 | [
"nucl-th"
] | J. Piekarewicz and A.G. Williams |
nucl-th/9301001 | Effect due to compositeness of nucleons in deep inelastic lepton nucleus
scattering | The off-shell behaviors of bound nucleons in deep inelastic lepton nucleus
scattering are discussed in two scenarios with the basic constituents chosen to
be baryon-mesons and quark-gluons respectively in light-cone formalism. It is
found that when taking into account the effect due to internal quark structure
of nucle... | 1993-01-02 | 2012-06-26 | [
"nucl-th",
"hep-ph"
] | Bo-Qiang Ma |
patt-sol/9312001 | Multiple Front Propagation into Unstable States | The dynamics of transient patterns formed by front propagation in extended
nonequilibrium systems is considered. Under certain circumstances, the state
left behind a front propagating into an unstable homogeneous state can be an
unstable periodic pattern. It is found by a numerical solution of a model of
the Fr\'eederi... | 1993-12-10 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | R. Montagne, A. Amengual, E. Hernandez-Garcia (Departament de Fisica,
Universitat de les Illes Balears, E-07071, Palma de Mallorca, Spain), and M.
San Miguel (Departament of Mathematics, University of Arizona, Tucson, AZ
85721, USA) |
patt-sol/9311007 | Dual Fronts Propagating into an Unstable State | The interface between an unstable state and a stable state usually develops a
single confined front travelling with constant velocity into the unstable
state. Recently, the splitting of such an interface into {\em two} fronts
propagating with {\em different} velocities was observed numerically in a
magnetic system. The... | 1993-11-26 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | F.J. Elmer (Institut f\"ur Physik, Universit\"at Basel, Basel,
Switzerland), J.-P. Eckmann, G. Hartsleben (D\'ept. de Physique Th\'eorique,
Universit\'e de Gen\`eve, Gen\`eve, Switzerland ) |
patt-sol/9311006 | Solitons in the Camassa-Holm Shallow Water Equation | We study the class of shallow water equations of Camassa and Holm derived
from the Lagrangian: $ L= \int \left( \frac{1}{2} (\varphi_{xxx}-\varphi_{x}
)\varphi_{t} - {1 \over 2} {(\varphi_{x})^{3}} - {1 \over
2}\varphi_{x}(\varphi_{xx})^{2} - {1 \over 2} \kappa \varphi_{x}^{2} \right)
dx, $ | 1993-11-22 | 2015-06-26 | [
"patt-sol",
"nlin.PS"
] | Fred Cooper (LANL and UNH), Harvey Shepard (UNH) |
patt-sol/9311005 | Secondary Instabilities and Spatiotemporal Chaos in Parametric Surface
Waves | A two dimensional model is introduced to study pattern formation, secondary
instabilities and the transition to spatiotemporal chaos (weak turbulence) in
parametric surface waves. The stability of a periodic standing wave state above
onset is studied against Eckhaus, zig-zag and transverse amplitude modulations
(TAM) a... | 1993-11-19 | 2009-10-22 | [
"patt-sol",
"chao-dyn",
"cond-mat",
"nlin.CD",
"nlin.PS"
] | Wenbin Zhang and Jorge Vinals (Supercomputer Computations Research
Institute, Florida State University, Tallahassee, Florida) |
patt-sol/9311004 | $D_4\dot{+} T^2$ Mode Interactions and Hidden Rotational Symmetry | Bifurcation problems in which periodic boundary conditions or Neumann
boundary conditions are imposed often involve partial differential equations
that have Euclidean symmetry. As a result the normal form equations for the
bifurcation may be constrained by the ``hidden'' Euclidean symmetry of the
equations, even though... | 1993-11-14 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | John David Crawford (Department of Physics and Astronomy, University
of Pittsburgh, Pittsburgh, PA) |
patt-sol/9311003 | Properties Of Solutions Of The Kpi Equation | The Kadomtsev--Petviashvili I (KPI) is considered as a useful laboratory for
experimenting new theoretical tools able to handle the specific features of
integrable models in $2+1$ dimensions. The linearized version of the KPI
equation is first considered by solving the initial value problem for different
classes of ini... | 1993-11-12 | 2008-02-03 | [
"patt-sol",
"nlin.PS"
] | M. Boiti, F. Fempinelli (Dipartimento di Fisica dell'Universit\`a and
Sezione INFN, Lecce, Italy, and A. Pogrebkov, Steklov Mathematical Institute,
Moscow, Russia) |
patt-sol/9311002 | Multidimensional Localized Solitons | Recently it has been discovered that some nonlinear evolution equations in
2+1 dimensions, which are integrable by the use of the Spectral Transform,
admit localized (in the space) soliton solutions. This article briefly reviews
some of the main results obtained in the last five years thanks to the renewed
interest in ... | 1993-11-12 | 2008-02-03 | [
"patt-sol",
"nlin.PS"
] | M. Boiti, L. Martina and F. Pempinelli (Dipartimento di Fisica
dell'Universita` e Sezione INFN) |
patt-sol/9311001 | Oscillatory instability of crack propagations in quasi-static fracture | Crack propagations in quasi-static fracture are studied theoretically. The
Griffith theory is applied to discuss a crack extension condition and motion of
crack tips in straight propagations. Stability of the straight propagations is
investigated based on the simple assumption that a curvature near the crack tip
is det... | 1993-11-05 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Shin-ichi Sasa (Department of physics, Kyoto University, Japan), and
Ken Sekimoto (Department of applied physics, Nagoya University, Nagoya,
Japan) |
patt-sol/9310007 | On the existence of monotonic fronts for a class of physical problems
described by the equation $\lambda u''' + u' = f(u)$ | We obtain an upper bound on the value of $\lambda$ for which monotonic front
solutions of the equation $\lambda u''' + u' = f(u)$ with $\lambda > 0$ may
exist. | 1993-11-04 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | R.D. Benguria and M.C. Depassier (Facultad de Fisica, P. Universidad
Catolica de Chile, Casilla 306, Santiago 22, Chile) |
patt-sol/9310006 | D4-symmetric Maps with Hidden Euclidean Symmetry | Bifurcation problems in which periodic boundary conditions (PBC) or Neumann
boundary conditions (NBC) are imposed often involve partial differential
equations that have Euclidean symmetry. In this case posing the bifurcation
problem with either PBC or NBC on a finite domain can lead to a symmetric
bifurcation problem f... | 1993-11-02 | 2008-02-03 | [
"patt-sol",
"nlin.PS"
] | John David Crawford (Department of Physics and Astronomy, University
of Pittsburgh, Pittsburgh, PA) |
patt-sol/9310005 | Amplitude Expansions for Instabilities in Populations of
Globally-Coupled Oscillators | We analyze the nonlinear dynamics near the incoherent state in a mean-field
model of coupled oscillators. The population is described by a Fokker-Planck
equation for the distribution of phases, and we apply center-manifold reduction
to obtain the amplitude equations for steady-state and Hopf bifurcation from
the equili... | 1993-10-28 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | John David Crawford (Department of Physics and Astronomy, University
of Pittsburgh, Pittsburgh, PA) |
patt-sol/9310004 | Exact Solutions of the One-Dimensional Quintic Complex Ginzburg-Landau
Equation | Exact solitary wave solutions of the one-dimensional quintic complex
Ginzburg-Landau equation are obtained using a method derived from the
Painlev\'e test for integrability. These solutions are expressed in terms of
hyperbolic functions, and include the pulses and fronts found by van Saarloos
and Hohenberg. We also fin... | 1993-10-22 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Philippe Marcq, Hugues Chate' and Robert Conte (SPEC, Centre d'Etudes
de Saclay, 91191 Gif-sur-Yvette, France) |
patt-sol/9310003 | Temporal Forcing of Small-Amplitude Waves in Anisotropic Systems | We investigate the effect of resonant temporal forcing on an anisotropic
system that exhibits a Hopf bifurcation to obliquely traveling waves in the
absence of this forcing. We find that the forcing can excite various
phase-locked standing-wave structures: rolls, rectangles and cross rolls. At
onset, at most one of the... | 1993-10-15 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Hermann Riecke (Department of Engineering Sciences and Applied
Mathematic, Northwestern University, Evanston, IL), Mary Silber (Department
of Applied Mechanics, Caltech, Pasadena, CA) and Lorenz Kramer
(Physikalisches Institut, Universit\"at Bayreuth, D-8580 Bayreuth, Germany) |
patt-sol/9310002 | Thermodynamic Limit Of The Ginzburg-Landau Equations | We investigate the existence of a global semiflow for the complex
Ginzburg-Landau equation on the space of bounded functions in unbounded domain.
This semiflow is proven to exist in dimension 1 and 2 for any parameter values
of the standard cubic Ginzburg-Landau equation. In dimension 3 we need some
restrictions on the... | 1993-10-14 | 2009-10-22 | [
"patt-sol",
"chao-dyn",
"nlin.CD",
"nlin.PS"
] | P.Collet (Centre de Physique Th\'eorique Laboratoire CNRS UPR 14,
Ecole Polytechnique, F-91128 Palaiseau Cedex (France)) |
patt-sol/9310001 | Disordered Regimes of the one-dimensional complex Ginzburg-Landau
equation | I review recent work on the ``phase diagram'' of the one-dimensional complex
Ginzburg-Landau equation for system sizes at which chaos is extensive.
Particular attention is paid to a detailed description of the spatiotemporally
disordered regimes encountered. The nature of the transition lines separating
these phases is... | 1993-10-12 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Hugues Chate' (SPEC, CE-Saclay, 91191 Gif-sur-Yvette, France) |
patt-sol/9309001 | Nonradial Solutions of a Semilinear Elliptic Equation in Two Dimensions | : We establish existence of an infinite family of exponentially-decaying
non-radial $C^2$ solutions to the equation $\Delta u + f(u) = 0$ on $R^2$ for a
large class of nonlinearities $f$. These solutions have the form $u(r,\theta
)=e^{i m\theta }w(r)$, where $r$ and $\theta$ are polar coordinates, $m$ is an
integer, an... | 1993-09-13 | 2008-02-03 | [
"patt-sol",
"nlin.PS"
] | Joseph Iaia (University of North Texas), and Henry Warchall
(University of North Texas) |
patt-sol/9407002 | On the self-similar solutions of normality equation in two-dimensional
case | The integrability in quadratures of normality equation for spatially
homogeneous dynamical systems in two-dimensional space is shown. The classical
symmetries of this equation are calculated and the corresponding self-similar
solutions are found. | 1993-07-25 | 2008-02-03 | [
"patt-sol",
"nlin.PS"
] | A.Yu.Boldin (Department of Mathematics, Bashkir State University, Ufa,
Russia) |
patt-sol/9307002 | One parameter family of Compacton Solutions in a class of Generalized
Korteweg-DeVries Equations | We study the generalized Korteweg-DeVries equations derivable from the
Lagrangian: $ L(l,p) = \int \left( \frac{1}{2} \varphi_{x} \varphi_{t} - {
{(\varphi_{x})^{l}} \over {l(l-1)}} + \alpha(\varphi_{x})^{p}
(\varphi_{xx})^{2} \right) dx, $ where the usual fields $u(x,t)$ of the
generalized KdV equation are defined by ... | 1993-07-21 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Avinash Khare (Center for Nonlinear Studies, Los Alamos National
Laboratory, Los Alamos, NM and Institute of Physics, Sachivalaya Marg,
Bhubaneswar, India) and Fred Cooper (Theoretical Division, Los Alamos
National Laboratory, Los Alamos, NM) |
patt-sol/9307001 | A quantitative measurement of spatial order in ventricular fibrillation | As an objective measurement of spatial order in ventricular fibrillation
(VF), spatial correlation functions and their characteristic lengths were
estimated from epicardial electrograms of pigs in VF. The correlation length of
the VF in pigs was found to be approximately 4-10 mm, varying as fibrillation
progressed. The... | 1993-07-18 | 2008-02-03 | [
"patt-sol",
"nlin.PS",
"q-bio"
] | P. V. Bayly, E. E. Johnson, P. D. Wolf, H. S. Greenside, W. M. Smith,
and R. E. Ideker (Duke University) |
patt-sol/9306002 | Dissipative Boussinesq System of Equations in the B\'enard-Marangoni
Phenomenon | By using the long-wave approximation, a system of coupled evolution equations
for the bulk velocity and the surface perturbations of a B\'enard-Marangoni
system is obtained. It includes nonlinearity, dispersion and dissipation, and
it can be interpreted as a dissipative generalization of the usual Boussinesq
system of ... | 1993-06-28 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | R. A. Kraenkel (IFT-UNESP/S\~ao Paulo), S. M. Kurcbart
(IFT-UNESP/S\~ao Paulo), J. G. Pereira (IFT-UNESP/S\~ao Paulo), M. A. Manna
(LPM-Universit\'e de Montpellier II-Montpellier) |
patt-sol/9306001 | Discrete Breathers and Energy Localization in Nonlinear Lattices | We discuss the process by which energy, initially evenly distributed in a
nonlinear lattice, can localize itself into large amplitude excitations. We
show that, the standard modulational instability mechanism, which can initiate
the process by the formation of small amplitude breathers, is completed
efficiently, in the... | 1993-06-25 | 2008-02-03 | [
"patt-sol",
"nlin.PS"
] | T. Dauxois (ENS LYON, Laboratoire de Physique, Lyon, France), M.
Peyrard (ENS LYON, Laboratoire de Physique, Lyon, France) |
patt-sol/9305010 | A New Class of Nonsingular Exact Solutions for Laplacian Pattern
Formation | We present a new class of exact solutions for the so-called {\it Laplacian
Growth Equation} describing the zero-surface-tension limit of a variety of 2D
pattern formation problems. Contrary to common belief, we prove that these
solutions are free of finite-time singularities (cusps) for quite general
initial conditions... | 1993-05-26 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Mark B. Mineev-Weinstein and Silvina Ponce Dawson (Theoretical
Division and Center for Nonlinear Studies, LANL) |
patt-sol/9305009 | Nonequilibrium Phenomena in Liquid Crystals | This paper summarizes a talk presented at the April NATO ASI on
Spatiotemporal Chaos in Complex Fluids, in Santa Fe, NM. The paper gives
reasons that make complex fluids good material systems for conducting
experiments on pattern formation and other nonequilibrium phenomena. Much of
the discussion focuses on the differ... | 1993-05-21 | 2008-02-03 | [
"patt-sol",
"nlin.PS"
] | John Bechhoefer (Dept. of Physics, Simon Fraser University, Burnaby,
British Columbia, V5A 1S6, Canada) |
patt-sol/9305007 | Pattern Formation in Dissipative Nonvariational Systems: The Effects of
Front Bifurcations | Patterns in reaction-diffusion systems often contain two spatial scales; a
long scale determined by a typical wavelength or domain size, and a short scale
pertaining to front structures separating different domains. Such patterns
naturally develop in bistable and excitable systems, but may also appear far
beyond Hopf a... | 1993-05-19 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Aric Hagberg (Program in Applied Mathematics, University of Arizona)
and Ehud Meron (Arizona Center for Mathematical Sciences and Department of
Mathematics, University of Arizona) |
patt-sol/9305008 | Phase Transitions In Two-Dimensional Traffic Flow Models | We introduce two simple two-dimensional lattice models to study traffic flow
in cities. We have found that a few basic elements give rise to the
characteristic phase diagram of a first-order phase transition from a freely
moving phase to a jammed state, with a critical point. The jammed phase
presents new transitions c... | 1993-05-19 | 2016-08-14 | [
"patt-sol",
"nlin.PS"
] | Jos\'e A. Cuesta, Froil\'an C. Mart\'inez, Juan M. Molera, and Angel
S\'anchez (Escuela Polit\'ecnica Superior, Universidad Carlos III de Madrid,
Avda. Mediterr\'aneo 20, E-28913 Legan\'es, Madrid, Spain) |
patt-sol/9305005 | Spiral Defect Chaos in Large Aspect Ratio Rayleigh-Benard Convection | We report experiments on convection patterns in a cylindrical cell with a
large aspect ratio. The fluid had a Prandtl number of approximately 1. We
observed a chaotic pattern consisting of many rotating spirals and other
defects in the parameter range where theory predicts that steady straight rolls
should be stable. T... | 1993-05-18 | 2009-10-22 | [
"patt-sol",
"chao-dyn",
"nlin.CD",
"nlin.PS"
] | Stephen W. Morris, Eberhard Bodenschatz, David S. Cannell, and Guenter
Ahlers ( Department of Physics and Center for Nonlinear Science, University
of California Santa Barbara, CA 93106-9530) |
patt-sol/9305006 | Solitary Waves and Compactons in a class of Generalized Korteweg-DeVries
Equations | We study the class of generalized Korteweg-DeVries equations derivable from
the Lagrangian: $ L(l,p) = \int \left( \frac{1}{2} \vp_{x} \vp_{t} - {
{(\vp_{x})^{l}} \over {l(l-1)}} + \alpha(\vp_{x})^{p} (\vp_{xx})^{2} \right)
dx, $ where the usual fields $u(x,t)$ of the generalized KdV equation are
defined by $u(x,t) = \... | 1993-05-18 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Fred Cooper (LANL and UNH), Harvey Shepard (UNH), and Pasquale Sodano
(U. Perugia) |
patt-sol/9305004 | Spiral defect chaos in a model of Rayleigh-Benard convection | A numerical solution of a generalized Swift-Hohenberg equation in two
dimensions reveals the existence of a spatio-temporal chaotic state comprised
of a large number of rotating spirals. This state is observed for a reduced
Rayleigh number $\epsilon=0.25$. The power spectrum of the state is isotropic,
and the spatial c... | 1993-05-14 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Hao-wen Xi, J.D. Gunton, Jorge Vinals |
patt-sol/9305002 | An integrable shallow water equation with peaked solitons | We derive a new completely integrable dispersive shallow water equation that
is biHamiltonian and thus possesses an infinite number of conservation laws in
involution. The equation is obtained by using an asymptotic expansion directly
in the Hamiltonian for Euler's equations in the shallow water regime. The
soliton sol... | 1993-05-13 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Roberto Camassa and Darryl D. Holm (Theoretical Division and Center
for Nonlinear Studies, LANL) |
patt-sol/9305001 | Pattern formation during Rayleigh-B\'enard convection in non-Boussinesq
fluids | Motivated by recent experimental studies of Bodenschatz et al. [E.
Bodenschatz, J.R. de Bruyn, G. Ahlers and D.S. Cannell, Phys. Rev. Lett. {\bf
67}, 3078 (1991) ], we present a numerical study of a generalized two
dimensional Swift-Hohenberg equation to model pattern formation in
Rayleigh-B\'enard convection in a non-... | 1993-05-04 | 2008-02-03 | [
"patt-sol",
"nlin.PS"
] | Hao-wen Xi, J.D. Gunton, Jorge Vinals |
patt-sol/9304004 | Solitons and 1/f Noise in Molecular Chains | Davydov's model of solitons in alpha-helix protein chains is shown to display
features of self-organized criticality (SOC), i.e., power law behaviour of
correlations in space and 1/f-noise, as a consequence of considering random
peptide group displacements from their (periodic) equilibrium positions along a
chain. This... | 1993-04-20 | 2008-02-03 | [
"patt-sol",
"adap-org",
"nlin.AO",
"nlin.PS"
] | H. Rosu and E. Canessa (ICTP-Trieste, Italy) |
patt-sol/9304003 | Complex Patterns in a Simple System | Numerical simulations of a simple reaction--diffusion model reveal a
surprising variety of irregular spatio--temporal patterns. These patterns arise
in response to finite--amplitude perturbations. Some of them resemble the
steady irregular patterns discussed by Lee et al. Others consist of spots which
grow until they r... | 1993-04-17 | 2009-10-22 | [
"patt-sol",
"comp-gas",
"nlin.CG",
"nlin.PS"
] | John E. Pearson (CNLS, Los Alamos National Laboratory) |
patt-sol/9304002 | Domain Walls in Non-Equilibrium Systems and the Emergence of Persistent
Patterns | Domain walls in equilibrium phase transitions propagate in a preferred
direction so as to minimize the free energy of the system. As a result, initial
spatio-temporal patterns ultimately decay toward uniform states. The absence of
a variational principle far from equilibrium allows the coexistence of domain
walls propa... | 1993-04-09 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Aric Hagberg and Ehud Meron (Arizona Center for Mathematical Sciences
and Program in Applied Mathematics, University of Arizona) |
patt-sol/9404001 | Multidimensional Dynamical Systems Accepting the Normal Shift | The dynamical systems of the form $\ddot\bold r=\bold F (\bold r,\dot\bold
r)$ in $\Bbb R^n$ accepting the normal shift are considered. The concept of
weak normality for them is introduced. The partial differential equations for
the force field $\bold F(\bold r,\dot\bold r)$ of the dynamical systems with
weak and compl... | 1993-04-04 | 2009-10-28 | [
"patt-sol",
"alg-geom",
"astro-ph",
"math.AG",
"nlin.PS"
] | A.Yu.Boldin and R.A.Sharipov (Department of Mathematics, Bashkir State
University, Frunze str. 32, 450074 Ufa, Russia) |
patt-sol/9304001 | Threshold-Range Scaling of Excitable Cellular Automata | Each cell of a two-dimensional lattice is painted one of k colors, arranged
in a "color wheel." The colors advance (0 to k-1 mod k) either automatically or
by contact with at least a threshold number of successor colors in a prescribed
local neighborhood. Discrete-time parallel systems of this sort in which color
0 upd... | 1993-04-02 | 2008-02-03 | [
"patt-sol",
"adap-org",
"nlin.AO",
"nlin.PS"
] | Robert Fisch (Department of Mathematics, Colby College), Janko Gravner
and David Griffeath (Department of Mathematics, University of Wisconsin) |
patt-sol/9303004 | Threshold Growth Dynamics | We study the asymptotic shape of the occupied region for monotone
deterministic dynamics in d-dimensional Euclidean space parametrized by a
threshold theta, and a Borel set N with positive and finite Lebesgue measure.
If A_n denotes the occupied set of the dynamics at integer time n, then A_n+1
is obtained by adjoining... | 1993-03-23 | 2008-02-03 | [
"patt-sol",
"adap-org",
"nlin.AO",
"nlin.PS"
] | Janko Gravner (Cornell University) and David Griffeath (University of
Wisconsin) |
patt-sol/9303005 | Metastability in the Greenberg-Hastings Model | The Greenberg-Hastings Model (GHM) is a family of multitype cellular automata
that emulate excitable media, exhibiting the nucleation and spiral formation
characteristic of such complex systems. In this paper we study the asymptotic
frequency of nucleation in 2-d GHM dynamics as the number k of types, or
colors, become... | 1993-03-23 | 2009-09-25 | [
"patt-sol",
"adap-org",
"nlin.AO",
"nlin.PS"
] | Robert Fisch (Department of Mathematics, Colby College), Janko Gravner
(Department of Mathematics, Cornell University), and David Griffeath
(Department of Mathematics, University of Wisconsin) |
patt-sol/9303003 | Solitons and Long Josephson Junctions | Magnetic flux quanta, of value h/2e, in long Josephson junctions behave as
(quasi) solitons. Fluxon dynamical states are well described by a perturbed
sine-Gordon equation model, with boundary conditions determined by the junction
geometry and by externally applied magnetic fields, and they give rise to
readily measura... | 1993-03-23 | 2009-09-25 | [
"patt-sol",
"nlin.PS"
] | R. D. Parmentier (Department of Physics, University of Salerno, Italy) |
patt-sol/9303002 | Asymptotic Behavior of Excitable Cellular Automata | We study two families of excitable cellular automata known as the
Greenberg-Hastings Model (GHM) and the Cyclic Cellular Automaton (CCA). Each
family consists of local deterministic oscillating lattice dynamics, with
parallel discrete-time updating, parametrized by the range of interaction, the
"shape" of its neighbor ... | 1993-03-22 | 2009-09-25 | [
"patt-sol",
"adap-org",
"nlin.AO",
"nlin.PS"
] | Richard Durrett (Cornell University) and David Griffeath (University
of Wisconsin) |
patt-sol/9305003 | Localized States in Discrete Nonlinear Schr\"{o}dinger Equations | A new 1-D discrete nonlinear Schr\"{o}dinger (NLS) Hamiltonian is introduced
which includes the integrable Ablowitz-Ladik system as a limit. The symmetry
properties of the system are studied. The relationship between intrinsic
localized states and the soliton of the Ablowitz-Ladik NLS is discussed. It is
pointed out th... | 1993-03-14 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | David Cai, A. R. Bishop, and Niels Gr{\o}nbech-Jensen (Theoretical
Division and Center for Nonlinear Studies, LANL) |
patt-sol/9303001 | Rotating Rayleigh-B\'enard Convection: Aspect Ratio Dependence of the
Initial Bifurcations | The initial bifurcations in rotating Rayleigh-B\'enard convection are studied
in the range of dimensionless rotation rate $0 < \Omega < 2150$ for an
aspect-ratio-2.5 cylindrical cell. We used simultaneous optical shadowgraph,
heat transport and local temperature measurements to determine the stability
and characteristi... | 1993-03-11 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Li Ning and Robert E. Ecke (Physics Division and Center for Nonlinear
Studies Los Alamos National Laboratory) |
patt-sol/9302002 | Discrete Dynamical Models Showing Pattern Formation in Subaqueous
Bedforms | A new class of ``toy models'' for subaqueous bedform formation are proposed
and examined. These models all show a similar mechanism of wavelength selection
via bedform unification, and they may have applications to bedform
stratigraphy. The models are also useful for exploring general issues of
pattern formation and co... | 1993-02-23 | 2019-06-05 | [
"patt-sol",
"nlin.PS"
] | Nicholas B. Tufillaro |
patt-sol/9302001 | Multidimensional Pattern Formation Has an Infinite Number of Constants
of Motion | Extending our previous work on 2D growth for the Laplace equation we study
here {\it multidimensional} growth for {\it arbitrary elliptic} equations,
describing inhomogeneous and anisotropic pattern formations processes. We find
that these nonlinear processes are governed by an infinite number of
conservation laws. Mor... | 1993-02-03 | 2009-10-22 | [
"patt-sol",
"nlin.PS"
] | Mark B. Mineev--Weinstein |
solv-int/9311001 | Continuous vacua in bilinear soliton equations | We discuss the freedom in the background field (vacuum) on top of which the
solitons are built. If the Hirota bilinear form of a soliton equation is given
by $A(D_{\vec x})\bd GF=0,\, B(D_{\vec x})(\bd FF - \bd GG)=0$ where both $A$
and $B$ are even polynomials in their variables, then there can be a continuum
of vacua... | 1993-11-24 | 2009-10-22 | [
"solv-int",
"nlin.SI"
] | J. Hietarinta and A. Ramani (CPT, Ecole Polytechnique, Palaiseau,
France), and B. Grammaticos (LPN, Universite Paris VII, Paris, France) |
solv-int/9310003 | Linearization And Solutions Of The Discrete Painlev\'e-III Equation | We present particular solutions of the discrete Painlev\'e III
(d-P$\rm_{III}$) equation of rational and special function (Bessel) type. These
solutions allow us to establish a close parallel between this discrete equation
and its continuous counterpart. Moreover, we propose an alternate form for
d-P$\rm_{III}$ and con... | 1993-11-03 | 2009-10-22 | [
"solv-int",
"nlin.SI"
] | B. Grammaticos (LPN, Universit\'e Paris VII, Tour 24-14, 5 etage,
Paris, France), F.W. Nijhoff (Department of Mathematics and Computer Science,
Clarkson University, Potsdam NY, USA), V. Papageorgiou (LPN, Universit\'e
Paris VII Tour 24-14, 5 etage, Paris, France and Department of Mathematics
and Computer Scienc... |
solv-int/9310002 | Casorati Determinant Solutions for the Discrete Painlev\'e-II Equation | We present a class of solutions to the discrete Painlev\'e-II equation for
particular values of its parameters. It is shown that these solutions can be
expressed in terms of Casorati determinants whose entries are discrete Airy
functions. The analogy between the $\tau$ function for the discrete P$_{\rm
\romanno2}$ and ... | 1993-10-20 | 2009-10-22 | [
"solv-int",
"nlin.SI"
] | Kenji Kajiwara(Dept. Appl. Phys., Fac. Engin., Univ. of Tokyo, Japan),
Yasuhiro Ohta(RIMS, Kyoto Univ., Japan), Junkichi Satsuma(Dept. Math. Sci.,
Univ. of Tokyo, Japan), Basil Grammaticos(LPN, Univ. Paris VII, France), and
Alfred Ramani(CPT, Ecole Polytechnique, France) |
solv-int/9310001 | Deformations of Calogero-Moser Systems | Recent results are surveyed pertaining to the complete integrability of some
novel n-particle models in dimension one. These models generalize the
Calogero-Moser systems related to classical root systems. Quantization leads to
difference operators instead of differential operators. | 1993-10-18 | 2010-10-27 | [
"solv-int",
"hep-th",
"nlin.SI"
] | J. F. van Diejen |
solv-int/9407003 | Invariant Integrability Criterion for the Equations of Hydrodynamical
Type | Invariant integrability criterion for the equations of hydrodynamical type is
found. This criterion is written in the form of vanishing for some tensor which
is derived from the velocities matrix of hydrodynamical equations. | 1993-07-18 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | M.V. Pavlov (Landau Institute for Theor. Physics., Moscow, Russia),
R.A. Sharipov (Dep. of Math., Bashkir State Univ., Ufa, Russia) and S.I.
Svinolupov (Inst. of Math., Ufa, Russia) |
solv-int/9306004 | Solutions of the Kpi Equation with Smooth Initial Data | The solution $u(t,x,y)$ of the Kadomtsev--Petviashvili I (KPI) equation with
given initial data $u(0,x,y)$ belonging to the Schwartz space is considered. No
additional special constraints, usually considered in literature, as
$\int\!dx\,u(0,x,y)=0$ are required to be satisfied by the initial data. The
problem is comple... | 1993-06-30 | 2009-10-22 | [
"solv-int",
"nlin.SI"
] | M. Boiti, F. Pempinelli (Dipartimento di Fisica dell'Universita` e
Sezione INFN, Lecce, Italy) and A. Pogrebkov (Steklov Mathematical Institute,
Moscow, Russia) |
solv-int/9306003 | A note on the motion of surfaces | We study the motion of surfaces in an intrinsic formulation in which the
surface is described by its metric and curvature tensors. The evolution
equations for the six quantities contained in these tensors are reduced in
number in two cases: (i) for arbitrary surfaces, we use principal coordinates
to obtain two equation... | 1993-06-23 | 2015-06-26 | [
"solv-int",
"nlin.SI"
] | Robert I. McLachlan and Harvey Segur (Program in Applied Mathematics,
University of Colorado at Boulder) |
solv-int/9306002 | Symmetry Reductions and Exact Solutions of a class of Nonlinear Heat
Equations | Classical and nonclassical symmetries of the nonlinear heat equation
$$u_t=u_{xx}+f(u),\eqno(1)$$ are considered. The method of differential
Gr\"obner bases is used both to find the conditions on $f(u)$ under which
symmetries other than the trivial spatial and temporal translational symmetries
exist, and to solve the d... | 1993-06-16 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | Peter A. Clarkson and Elizabeth L. Mansfield (Department of
Mathematics, University of Exeter, Exeter, U.K. and Program in Applied
Mathematics, University of Colorado, Boulder, CO, U.S.A.) |
solv-int/9306001 | The upper triangular solutions to the three-state constant quantum
Yang-Baxter equation | In this article we present all nonsingular upper triangular solutions to the
constant quantum Yang-Baxter equation
$R_{j_1j_2}^{k_1k_2}R_{k_1j_3}^{l_1k_3}R_{k_2k_3}^{l_2l_3}=
R_{j_2j_3}^{k_2k_3}R_{j_1k_3}^{k_1l_3}R_{k_1k_2}^{l_1l_2}$ in the three state
case, i.e. all indices ranging from 1 to 3. The upper triangular an... | 1993-06-14 | 2009-10-22 | [
"solv-int",
"hep-th",
"nlin.SI"
] | Jarmo Hietarinta (Department of Physics, University of Turku, Finland) |
solv-int/9305004 | Lattice Virasoro from Lattice Kac-Moody | A new version of quantum Miura transformation on the lattice is proposed,
based on the lattice Kac-Moody algebra. A possibility of existence of the
Sugawara construction on the lattice is discussed. | 1993-05-31 | 2009-10-22 | [
"solv-int",
"hep-th",
"nlin.SI"
] | Aleksander A. Belov and Karen D. Chaltikian |
solv-int/9305003 | On exact solution for some integrable nonlinear equations of the
Schr\"odinger type | The outlook of a simple method to generate localized (soliton-like)
potentials of time-dependent Schrodinger type equations is given. The
conditions are discussed for the potentials to be real and nonsingular. For the
derivative Schrodinger equation also is discussed its relation to the
Ishimori-II model. Some pecular ... | 1993-05-28 | 2008-02-03 | [
"solv-int",
"nlin.PS",
"nlin.SI",
"patt-sol"
] | V.G. Makhankov (Center for Nonlinear Studies, LANL and Joint Institute
for Nuclear Research, LCTA, Dubna, Moscow, Russia) |
solv-int/9305002 | B\"acklund Transformations of MKdV and Painlev\'e Equations | For $N\ge 3$ there are $S_N$ and $D_N$ actions on the space of solutions of
the first nontrivial equation in the $SL(N) MKdV hierarchy, generalizing the
two $Z_2$ actions on the space of solutions of the standard MKdV equation.
These actions survive scaling reduction, and give rise to transformation groups
for certain ... | 1993-05-19 | 2009-10-22 | [
"solv-int",
"nlin.SI"
] | Jeremy Schiff |
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