2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Bäcklund transformation and Lax pair
type: Item
instance of: scholarly article
title: 2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Bäcklund transformation and Lax pair
zbMATH Open document ID: 1172.37028
author: Xing-Biao Hu
author: Hongyan Wang
author: Gegenhasi
published in: Journal of Computational and Applied Mathematics
publication date: 2007-04-13T00:00:00Z
Mathematics Subject Classification ID: 37K60
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 39A20
zbMATH DE Number: 5142285
zbMATH Keywords: Toda lattice with sources
zbMATH Keywords: soliton solutions
zbMATH Keywords: Bäcklund transformation and Lax pair
MaRDI profile type: Publication
full work available at URL: j.cam.2005.08.052
OpenAlex ID: W2080316517
cites work: Soliton hierarchies with sources and Lax representation for restricted flows
cites work: The Multisoliton Solutions of the KP Equation with Self-consistent Sources
cites work: On an integrable differential-difference equation with a source
cites work: Integrability of a differential-difference KP equation with self-consistent sources
cites work: Q4828547
cites work: Nonlinear superposition formula of the KdV equation with a source
cites work: The higher-order KdV equation with a source and nonlinear superposition formula.
cites work: Solution of an initial-boundary value problem for coupled nonlinear waves
cites work: Solving the KdV hierarchy with self-consistent sources by inverse scattering method
cites work: Soliton, Positon and Negaton Solutions to a Schrödinger Self-consistent Source Equation
cites work: An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
cites work: Binary symmetry constraints of \(\mathcal N\)-wave interaction equations in \(1+1\) and \(2+1\) dimensions.
cites work: Kadomtsev-Petviashvili equation with a source and its soliton solutions
cites work: Bilinear Backlund transformation for the KdV equation with a source
cites work: A direct method for deriving a multi-soliton solution for the problem of interaction of waves on the x,y plane
cites work: Interaction of solitary waves in the system described by the Kadomtsev- Petviashvili equation with a self-consistent source
cites work: Capture and confinement of solitons in nonlinear integrable systems
cites work: Integration of the Korteweg-de Vries equation with a source
cites work: Integrating the Korteweg-de Vries equation with a self-consistent source and ``steplike'' initial data
cites work: Generalized Darboux transformations for the KP equation with self-consistent sources
cites work: Integration of the modified Korteweg-de Vries hierarchy with an integral type of source
cites work: New factorization of the Kaup-Newell hierarchy
cites work: The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy
cites work: Integration of the soliton hierarchy with self-consistent sources
cites work: Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
cites work: Integral-type Darboux transformations for the mKdV hierarchy with self-consistent sources
cites work: TheN-Soliton Solutions for the Modified KdV Equation with Self-Consistent Sources
cites work: The \(N\)-soliton solutions of some soliton equations with self-consistent sources
cites work: The \(N\)-soliton solutions of the sine-Gordon equation with self-consistent sources
DOI: 10.1016/J.CAM.2005.08.052
description: scientific article; zbMATH DE number 5142285