Exact solitary wave solutions of the Kadomtsov–Petviashvili–Benjamin–Bona–Mahony equation

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摘要

Bifurcation method of dynamical systems is employed to investigate bifurcation of solitary waves in the nonlinear dispersive Kadomtsov–Petviashvili–Benjamin–Bona–Mahony equation. Numbers of solitary waves are given for each parameter condition. Under some parameter conditions, exact solitary wave solutions are obtained.

论文关键词:Kadomtsov–Petviashvili–Benjamin–Bona–Mahony equation,Bifurcation of phase portraits,Solitary wave solutions

论文评审过程:Available online 9 May 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.05.007