BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN VARIANT BOUSSINESQ EQUATIONS

doi:10.1007/s10483-006-0612-z

Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (6): 811-822 .doi: https://doi.org/10.1007/s10483-006-0612-z

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BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN VARIANT BOUSSINESQ EQUATIONS

YUAN Yu-bo, PU Dong-mei, LI Shu-min

1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, P. R. China;
2. School of Science, University of Science and Technology of Kunming, Kunming 650093, P. R. China

Received:2003-12-20 Revised:2006-03-06 Online:2006-06-18 Published:2006-06-18

Abstract

Abstract: The bifurcations of solitary waves and kink waves for variant Boussinesq equations are studied by using the bifurcation theory of planar dynamical systems. The bifurcation sets and the numbers of solitary waves and kink waves for the variant Boussinesq equations are presented. Several types explicit formulas of solitary waves solutions and kink waves solutions are obtained. In the end, several formulas of periodic wave solutions are presented.

Key words: Hamiltonian system, Boussinesq equations, bifurcation, solitary waves solutions, kink waves solutions

2010 MSC Number:

YUAN Yu-bo;PU Dong-mei;LI Shu-min. BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN VARIANT BOUSSINESQ EQUATIONS. Applied Mathematics and Mechanics (English Edition), 2006, 27(6): 811-822 .

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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-006-0612-z

https://www.amm.shu.edu.cn/EN/Y2006/V27/I6/811

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BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN VARIANT BOUSSINESQ EQUATIONS

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