Periodic loop solutions and their limit forms for the Kudryashov-Sinelshchikov equation
type: Item
instance of: scholarly article
title: Periodic loop solutions and their limit forms for the Kudryashov-Sinelshchikov equation
zbMATH Open document ID: 1264.35195
DOI: 10.1155/2012/320163
author: Bin He
author: Qing Meng
author: Jin-Hua Zhang
author: Yao Long
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: The Kudryashov-Sinelshchikov equation is studied by using the bifurcation method of dynamical systems and the method of phase portraits analysis. We show that the limit forms of periodic loop solutions contain loop soliton solutions, smooth periodic wave solutions, and periodic cusp wave solutions. Also, some new exact travelling wave solutions are presented through some special phase orbits.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 6173184
Wikidata QID: Q58911427
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/320163
OpenAlex ID: W2079654476
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description: scientific article; zbMATH DE number 6173184