BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR A COUPLED NONLINEAR WAVE SYSTEM

BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS

FOR A COUPLED NONLINEAR WAVE SYSTEM

ZHANG Ji-xiang;LI Ji-bin

【期刊名称】《应用数学和力学（英文版）》 【年(卷),期】2005(026)007

【摘要】By using the bifurcation theory of dynamical systems to the coupled nonlinear wave equations, the existence and stability of periodic wave solutions by Hopf bifurcations are obtained. Theory of travelling wave was applied to transform a kind of coupled nonlinear wave equations into three-dimension dynamical systems. Under different parametric conditions, various sufficient conditions to guarantee the existence and stability of the above solutions are given. 【总页数】10页(838-847)

【关键词】travelling wave solution;Hopf bifurcation;nonlinear wave equation

【作者】ZHANG Ji-xiang;LI Ji-bin

【作者单位】School of Economics & Management, Southeast University,Nanjing 210096, P. R. China;School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China;School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China 【正文语种】中文