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2012 Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation
Ming Song, Zhengrong Liu
J. Appl. Math. 2012: 1-25 (2012). DOI: 10.1155/2012/363879

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.

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Ming Song. Zhengrong Liu. "Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation." J. Appl. Math. 2012 1 - 25, 2012. https://doi.org/10.1155/2012/363879

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1255.35183
MathSciNet: MR2948156
Digital Object Identifier: 10.1155/2012/363879

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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