Periodic wave solutions and their limits for the generalized KP-BBM equation
type: Item
instance of: scholarly article
title: Periodic wave solutions and their limits for the generalized KP-BBM equation
zbMATH Open document ID: 1255.35183
DOI: 10.1155/2012/363879
author: Ming Song
author: Zhengrong Liu
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6106183
Wikidata QID: Q58906739
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/363879
OpenAlex ID: W2163162223
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DBLP publication ID: journals/jam/SongL12
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description: scientific article; zbMATH DE number 6106183