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The bifurcation travelling waves of a generalized Broer-Kaup equation
Shaolong Xie,Xiaochun Hong,Junliang Lu
Keywords:Broer-Kaup equation, periodic wave, periodic blow-up wave, solitary wave, kink wave.
Abstract:
      In this paper, by using the dynamical system theory and simulation method, we study a generalized Broer-Kaup (gBK) equation. Under different parameter conditions, the travelling wave solutions such as kink wave, periodic blow-up wave, periodic wave and solitary wave are given, and the dynamic characters of these solutions are investigated.