4.1 Article

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

Journal

JOURNAL OF APPLIED MATHEMATICS
Volume -, Issue -, Pages -

Publisher

HINDAWI PUBLISHING CORPORATION
DOI: 10.1155/2012/363879

Keywords

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Funding

  1. National Natural Science Foundation of China [11171115]
  2. Natural Science Foundation of Yunnan Province [2010ZC154]

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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.

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