Article ID Journal Published Year Pages File Type
4628021 Applied Mathematics and Computation 2014 18 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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