BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR A GENERALIZED HIROTA-SATSUMA COUPLED KdV SYSTEM

Jihong Rong (P. R. China), Shengqiang Tang (P. R. China), Wentao Huang (P. R. China) and Zhaojuan Wang (P. R. China)

Received October 21, 2007

Abstract

In this paper, the bifurcation of solitary, kink, anti-kink, and periodic waves for a generalized Hirota-Satsuma coupled KdV system is studied by using the bifurcation theory of planar dynamical systems. Bifurcation parameter sets are shown, under various parameter conditions, all exact explicit formulas of solitary wave solutions and kink wave solutions and periodic wave solutions are listed.

Keywords and phrases: solitary wave, kink and anti-kink waves, periodic wave, H-S KdV system.