Traveling wave solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation
type: Item
instance of: scholarly article
title: Traveling wave solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation
zbMATH Open document ID: 1468.35176
DOI: 10.1155/2014/943167
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We use bifurcation method of dynamical systems to study exact traveling wave solutions of a nonlinear evolution equation. We obtain exact explicit expressions of bell-shaped solitary wave solutions involving more free parameters, and some existing results are corrected and improved. Also, we get some new exact periodic wave solutions in parameter forms of the Jacobian elliptic function. Further, we find that the bell-shaped waves are limits of the periodic waves in some sense. The results imply that we can deduce bell-shaped waves from periodic waves for some nonlinear evolution equations.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 7023365
author: Zhengyong Ouyang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/943167
OpenAlex ID: W1968535125
Wikidata QID: Q59043017
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description: scientific article; zbMATH DE number 7023365