The standard approach to integrable nonlinear evolution equations (NLEE) usually uses the
following steps:(1) Lax representation [L, M]= 0;(2) construction of fundamental analytic …

Using a bidifferential graded algebra approach to'integrable'partial differential or difference
equations, a unified treatment of continuous, semi-discrete (Ablowitz–Ladik) and fully …

Abstract We consider Kulish–Sklyanin model (KSM) which is a three-component nonlinear
Schrödinger system. Using Dubrovin's method we derive recurrent relations which allow us …

Our purpose is to develop the inverse scattering transform for the nonlocal semidiscrete
nonlinear Schrödinger equation (called the Ablowitz–Ladik equation) with PT PT symmetry …

Our aim is to develop the inverse scattering transform for multicomponent generalizations of
nonlocal reductions of the nonlinear Schrödinger (NLS) equation with PT PT symmetry …

We consider several ways of how one could classify the various types of soliton solutions
related to multicomponent nonlinear evolution equations which are solvable by the inverse …

We analyze the dynamical behavior of the N-soliton train in adiabatic approximation of the
Manakov system (MS) perturbed by three types of external potentials: periodic, quadratic …

Based on the higher-order restricted flows, the first type of integrable deformed fourth-order
matrix NLS equations, that is, the fourth-order matrix NLS equations with self-consistent …

We consider a class of Lax operators L related to BD. I type symmetric spaces. They allow
one to solve special classes of vector NLS and matrix equations known as generalizations of …

We consider a class of Lax operators L related to BD. I type symmetric spaces. They allow
one to solve a special class of vector NLS equations which model Bose-Einstein …