Article ID Journal Published Year Pages File Type
4634419 Applied Mathematics and Computation 2008 6 Pages PDF
Abstract

The bifurcation method of planar dynamical systems and numerical simulation method of differential equations are employed to investigate the (2 + 1)-dimensional Broer–Kau–Kupershmidt equation. We obtain the sufficient conditions to guarantee the existence of the bounded travelling wave solutions including solitary wave solutions, kink or anti-kink wave solutions and periodic wave solutions. Furthermore, under different parameter conditions, the qualitatively different phase portraits are given and the corresponding bounded travelling waves are simulated.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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