The Darboux transformation associated with two-parameter lattice soliton equation
type: Item
instance of: scholarly article
title: The Darboux transformation associated with two-parameter lattice soliton equation
zbMATH Open document ID: 1221.37150
author: Xin-Yue Li
author: Qiu-Lan Zhao
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-10-02T00:00:00Z
Mathematics Subject Classification ID: 37K60
Mathematics Subject Classification ID: 37K35
zbMATH DE Number: 5952910
zbMATH Keywords: lattice soliton equation
zbMATH Keywords: discrete Hamiltonian structure
zbMATH Keywords: Lax pairs
zbMATH Keywords: Darboux transformation
MaRDI profile type: Publication
full work available at URL: j.cnsns.2008.11.012
OpenAlex ID: W1996841050
cites work: A trace identity and its applications to the theory of discrete integrable systems
cites work: Master symmetries from Lax operators for certain lattice soliton hierarchies.
cites work: Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
cites work: A discrete variational identity on semi-direct sums of Lie algebras
cites work: A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
cites work: A functional integral representation of the soliton solution
cites work: The coupled modified Korteweg-de Vries equations
cites work: Two hierarchies of integrable lattice equations associated with a discrete matrix spectral problem
cites work: Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
cites work: Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov
cites work: A new integrable symplectic map associated with lattice soliton equations
cites work: Darboux transformation of a coupled lattice soliton equation
cites work: Integrable relativistic Toda type lattice hierarchies, associated coupling systems and the Darboux transformation
DOI: 10.1016/J.CNSNS.2008.11.012
description: scientific article; zbMATH DE number 5952910