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

Ming Song and Zhengrong Liu

Applied Mathematics and Computation, 2014, vol. 232, issue C, 9-26

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.

Keywords: Bifurcation method; ZK–BBM equation; Periodic wave solutions (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:9-26

DOI: 10.1016/j.amc.2014.01.048

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