Multi-soliton Solution of the Integrable Coupled Nonlinear Schrodinger Equation of Manakov TypeThe general multi-soliton solution of the integrable coupled nonlinear Schrodinger equation (NLS) of Manakov type is investigated by using Zakharov-Shabat (ZS) scheme. We get the bright and dark…Freddy P. Zen, Hendry I. Elim·Feb 7, 1999SaveLearn
Modified KP and Discrete KPThe discrete KP, or 1-Toda lattice hierarchy is the same as a properly defined modified KP hierarchy.L. A. Dickey·Feb 6, 1999SaveLearn
Multiscale Analysis of Discrete Nonlinear Evolution EquationsThe method of multiscale analysis is constructed for dicrete systems of evolution equations for which the problem is that of the far behavior of an input boundary datum. Discrete slow space variables…J. Leon, M. Manna·Feb 5, 1999SaveLearn
Asymptotic approach for the rigid condition of appearance of the oscillations in the solution of the Painleve-2 equationThe asymptotic solution for the Painleve-2 equation with small parameter is considered. The solution has algebraic behavior before point t* and fast oscillating behavior after the point t*. In…O. M. Kiselev·Feb 5, 1999SaveLearn
On the Hamiltonian and Lagrangian structures of time-dependent reductions of evolutionary PDEsIn this paper we study the reductions of evolutionary PDEs on the manifold of the stationary points of time-dependent symmetries. In particular we describe how the finite dimensional Hamiltonian…Monica Ugaglia·Feb 5, 1999SaveLearn
The solution of the Painleve equations as special functions of catastrophes, defined by a rejection in these equations of terms with derivativeThe relation between the Painleve equations and the algebraic equations with the catastrophe theory point of view are considered. The asymptotic solutions with respect to the small parameter of the…O. M. Kiselev, B. I. Suleimanov·Feb 4, 1999SaveLearn
Miura transformations for Toda--type integrable systems, with applications to the problem of integrable discretizationsWe study lattice Miura transformations for the Toda and Volterra lattices, relativistic Toda and Volterra lattices, and their modifications. In particular, we give three successive modifications for…Yuri B. Suris·Feb 4, 1999SaveLearn
On time-dependent symmetries and formal symmetries of evolution equationsWe present the explicit formulae, describing the structure of symmetries and formal symmetries of any scalar (1+1)-dimensional evolution equation. Using these results, the formulae for the leading…Artur G. Sergyeyev·Jan 31, 1999SaveLearn
Spontaneous polarization of the Kondo problem associated with the higher-spin six-vertex modelWe study the multi-channel Kondo model associated with an integrable higher-spin analogue of the anti-ferroelectric six-vertex model, which is constructed by inserting spin 1/2 to spin 1 lines: $...…N. Fukushima, T. Kojima·Jan 30, 1999SaveLearn
A note on the third family of N=2 supersymmetric KdV hierarchiesWe propose a hamiltonian formulation of the N=2 supersymmetric KP type hierarchy recently studied by Krivonos and Sorin. We obtain a quadratic hamiltonian structure which allows for several…François Delduc, L. Gallot·Jan 27, 1999SaveLearn
Exact solutions of the associated Camassa-Holm equationRecently the associated Camassa-Holm (ACH) equation, related to the Fuchssteiner-Fokas-Camassa-Holm equation by a hodograph transformation, was introduced by Schiff, who derived Bäcklund…A. N. W. Hone·Jan 24, 1999SaveLearn
Darboux-type transformations and hyperelliptic curvesWe systematically study Darboux-type transformations for the KdV and AKNS hierarchies and provide a complete account of their effects on hyperelliptic curves associated with algebro-geometric…Fritz Gesztesy, Helge Holden·Jan 23, 1999SaveLearn
Acoustic Scattering and the Extended Korteweg deVries hierarchyThe acoustic scattering operator on the real line is mapped to a Schrödinger operator under the Liouville transformation. The potentials in the image are characterized precisely in terms of their…R. Beals, D. H. Sattinger, J. Szmigielski·Jan 21, 1999SaveLearn
Coupled KdV equations of Hirota-Satsuma typeIt is shown that the system of two coupled Korteweg-de Vries equations passes the Painlevé test for integrability in nine distinct cases of its coefficients. The integrability of eight cases is…Sergei Yu. Sakovich·Jan 19, 1999SaveLearn
The hunting for the discrete Painlevé VI is overWe present the discrete, q-, form of the Painlevé VI equation written as a three-point mapping and analyse the structure of its singularities. This discrete equation goes over to PVI at the…B. Grammaticos, A. Ramani·Jan 19, 1999SaveLearn
Universality of the distribution functions of random matrix theoryThis paper first surveys the connection of integrable systems of the Painleve type to various distribution functions appearing in Wigner-Dyson random matrix theory. A short discussion is then given…Craig A. Tracy, Harold Widom·Jan 6, 1999SaveLearn
Unified algebraic Bethe ansatz for two-dimensional lattice modelsWe develop a unified formulation of the quantum inverse scattering method for lattice vertex models associated to the non-exceptional A(2)2r, A(2)2r-1, B(1)r, C(1)r,…M. J. Martins·Jan 5, 1999SaveLearn
The Camassa-Holm Equation: Conserved Quantities and the Initial Value ProblemUsing a Miura-Gardner-Kruskal type construction, we show that the Camassa-Holm equation has an infinite number of local conserved quantities. We explore the implications of these conserved quantities…Michael Fisher, Jeremy Schiff·Jan 4, 1999SaveLearn
Two- and Many-Dimensional Quasi-Exactly Solvable Models With An Inhomogeneous Magnetic FieldLet group generators having finite-dimensional representation be realized as Hermitian linear differential operators without nhomogeneous terms as takes place, for example, for the SO(n) group. Then…O. B. Zaslavskii·Dec 29, 1998SaveLearn
The Lax pairs for the Holt systemBy using non-canonical transformation between the Holt system and the Henon-Heiles system the Lax pairs for all the integrable cases of the Holt system are constructed from the known Lax…A. V. Tsiganov·Dec 29, 1998SaveLearn
The relation between the Toda hierarchy and the KdV hierarchyUnder three relations connecting the field variables of Toda flows and that of KdV flows, we present three new sequences of combination of the equations in the Toda hierarchy which have the KdV…Yunbo Zeng, Runliang Lin, Xin Cao·Dec 28, 1998SaveLearn
Integral equations for the correlation functions of the quantum one-dimensional Bose gasThe large time and long distance behavior of the temperature correlation functions of the quantum one-dimensional Bose gas is considered. We obtain integral equations, which solutions describe the…N. A. Slavnov·Dec 25, 1998SaveLearn
On some soliton equations in 2+1 dimensions and their 1+1 and/or 2+0 dimensional integrable reductionsSome soliton equation in 2+1 dimensions and their 1+1 and/or dimensional integrable reductions are considered.F. B. Altynbaeva, A. K. Danlybaeva, G. N. Nugmanova et al.·Dec 25, 1998SaveLearn
The periodic Lax operators of the equations of Benney type IIThis text has been withdrawn by the author.A. Balan·Dec 22, 1998SaveLearn
The classical Boussinesq hierarchy revisitedWe develop a systematic approach to the classical Boussinesq (cBsq) hierarchy based on an elementary polynomial recursion formalism. Moreover, the gauge equivalence between the cBsq and AKNS…Fritz Gesztesy, Helge Holden·Dec 21, 1998SaveLearn