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Periodic wave solutions and their limits for the ZK–BBM equation.

Authors :
Song, Ming
Liu, Zhengrong
Source :
Applied Mathematics & Computation. Apr2014, Vol. 232, p9-26. 18p.
Publication Year :
2014

Abstract

Abstract: In this paper, we use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the ZK–BBM equation. Some explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain solitary wave solutions, periodic wave solutions, kink wave solutions, unbounded solutions and blow-up wave solutions. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00963003
Volume :
232
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
95216468
Full Text :
https://doi.org/10.1016/j.amc.2014.01.048