Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system
type: Item
instance of: scholarly article
title: Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system
zbMATH Open document ID: 1092.35094
author: Jianwei Shen
author: Wei Xu
author: Yong Xu
published in: Applied Mathematics and Computation
publication date: 2005-02-22T00:00:00Z
review text: The authors consider the dynamical behavior of a generalized Hirota-Satsuma coupled system under a special constraint on the potentials. Using explicit formulas of various travelling wave solutions, the bifurcation set and phase portraits are provided. The results are also a supplement to the existing solution theory. The paper is clearly written and well structured.
reviewed by: Wen-Xiu Ma
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K50
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 2136190
zbMATH Keywords: solitary travelling wave solution
zbMATH Keywords: periodic travelling wave solution
zbMATH Keywords: kink
zbMATH Keywords: anti-kink
zbMATH Keywords: bifurcation
MaRDI profile type: Publication
full work available at URL: j.amc.2003.12.033
OpenAlex ID: W2045823561
cites work: Q5615009
cites work: Travelling wave solutions in a model of the helix polypeptide chains
cites work: Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
cites work: Q4350442
cites work: Q3997917
DOI: 10.1016/J.AMC.2003.12.033
description: scientific article; zbMATH DE number 2136190