Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation

Ming Song and Zhengrong Liu

Journal of Applied Mathematics, 2012, vol. 2012, 1-25

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:363879

DOI: 10.1155/2012/363879

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