Bidirectional soliton solutions of the classical Boussinesq system and AKNS system.
type: Item
instance of: scholarly article
title: Bidirectional soliton solutions of the classical Boussinesq system and AKNS system.
zbMATH Open document ID: 1048.35103
DOI: 10.1016/S0960-0779(02)00312-0
author: Jin E. Zhang
author: Yi-Shen Li
published in: Chaos, Solitons and Fractals
publication date: 2004-01-14T00:00:00Z
review text: This paper deals with the connection of the classical Boussinesq system with a member of the AKNS system. With the help of known Darboux transformation on the AKNS system, the authors are able to obtain a general formula of bidirectional soliton solutions and show that these are richer than the unidirectional solution of the KdV equation.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K40
zbMATH DE Number: 2027096
zbMATH Keywords: bidirectional solution
zbMATH Keywords: multi-soliton solution
zbMATH Keywords: Darboux transformation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Darboux transformations of classical Boussinesq system and its multi-soliton solutions
cites work: On bidirectional fifth-order nonlinear evolution equations, Lax pairs, and directionally dependent solitary waves.
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Nonlinear-evolution equations of physical significance
cites work: Q4002235
cites work: Three kinds of Darboux transformation for the evolution equations which connect with A.K.N.S. eigenvalue problem
full work available at URL: s0960-0779(02)00312-0
OpenAlex ID: W2029411866
description: scientific article; zbMATH DE number 2027096