Kink wave determined by parabola solution of a nonlinear ordinary differential equation  

作　　者：李继彬 黎明 纳静 

机构地区：[1]Department of Mathematics,Zhejiang Normal University [2]Department of Mathematics,Qujing Normal Institute [3]Computer Science Department,Yunnan University of Finance and Economics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第7期883-892,共10页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.10671179);the Natural Science Foundation of Yunnan Province of China(No.2003A0018M)

摘　　要：By finding a parabola solution connecting two equilibrium points of a planar dynamical system, the existence of the kink wave solution for 6 classes of nonlinear wave equations is shown. Some exact explicit parametric representations of kink wave solutions are given. Explicit parameter conditions to guarantee the existence of kink wave solutions are determined.By finding a parabola solution connecting two equilibrium points of a planar dynamical system, the existence of the kink wave solution for 6 classes of nonlinear wave equations is shown. Some exact explicit parametric representations of kink wave solutions are given. Explicit parameter conditions to guarantee the existence of kink wave solutions are determined.

关 键 词：kink wave solution connecting orbit parabola solution nonlinear wave equation nonlinear evolution equation 

分 类 号：O175.14[理学—数学]