Bifurcations of travelling wave solutions for the generalized KP-BBM equation
type: Item
instance of: scholarly article
title: Bifurcations of travelling wave solutions for the generalized KP-BBM equation
zbMATH Open document ID: 1198.37105
author: Shengqiang Tang
author: Xiaoliang Huang
author: Wentao Huang
published in: Applied Mathematics and Computation
publication date: 2010-07-19T00:00:00Z
review text: By applying the bifurcation theory of dynamical systems to the generalized Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation, the existence of solitary wave solutions, compactons solution, non-smooth periodic cusp wave solutions and uncountably large number of smooth periodic solutions is proved. Under other parametric conditions various sufficient conditions to guarantee the existence of the above solutions are given. According to the authors this method can be widely applied to other nonlinear equations.
reviewed by: Yoshihide Kozai
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 5757552
zbMATH Keywords: solitary wave solution
zbMATH Keywords: periodic cusp wave solution
zbMATH Keywords: compactons
zbMATH Keywords: bifurcation theory
zbMATH Keywords: generalized Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation
MaRDI profile type: Publication
full work available at URL: j.amc.2010.03.139
OpenAlex ID: W1997607293
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cites work: Q5413502
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cites work: Bifurcations of travelling wave solutions for the \(K(n,-n,2n)\) equations
DOI: 10.1016/J.AMC.2010.03.139
description: scientific article; zbMATH DE number 5757552