BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR A COUPLED NONLINEAR WAVE SYSTEM  

作　　者：张骥骧 李继彬 

机构地区：[1]School of Economics & Management, Southeast University, Nanjing 210096, P.R.China [2]School of Science, Kunming University of Science and Technology, Kunming 650093, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第7期838-847,共10页应用数学和力学（英文版）

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.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.

关 键 词：travelling wave solution Hopf bifurcation nonlinear wave equation 

分 类 号：O353.2[理学—流体力学]