Bifurcation of traveling wave solutions for a two-component generalized \(\theta\)-equation
type: Item
instance of: scholarly article
title: Bifurcation of traveling wave solutions for a two-component generalized \(\theta\)-equation
zbMATH Open document ID: 1264.35085
DOI: 10.1155/2012/597431
author: Zhenshu Wen
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We study the bifurcation of traveling wave solutions for a two-component generalized \(\theta\)-equation. We show all the explicit bifurcation parametric conditions and all possible phase portraits of the system. Especially, the explicit conditions, under which there exist kink (or antikink) solutions, are given. Additionally, not only solitons and kink (antikink) solutions, but also peakons and periodic cusp waves with explicit expressions, are obtained.
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6173412
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/597431
OpenAlex ID: W2077565391
Wikidata QID: Q58912252
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description: scientific article; zbMATH DE number 6173412