Bifurcation of travelling wave solutions for (2+1)-dimension nonlinear dispersive long wave equation  

作　　者：RONG Ji-hong TANG Sheng-qiang School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin541004,China 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2009年第3期291-297,共7页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10871206);Program for Excellent Talents in Guangxi Higher Education Institutions

摘　　要：In this paper,the bifurcation of solitary,kink,anti-kink,and periodic waves for （2＋1）-dimension nonlinear dispersive long wave equation is studied by using the bifurcation theory of planar dynamical systems.Bifurcation parameter sets are shown,and under various parameter conditions,all exact explicit formulas of solitary travelling wave solutions and kink travelling wave solutions and periodic travelling wave solutions are listed.In this paper,the bifurcation of solitary,kink,anti-kink,and periodic waves for （2＋1）-dimension nonlinear dispersive long wave equation is studied by using the bifurcation theory of planar dynamical systems.Bifurcation parameter sets are shown,and under various parameter conditions,all exact explicit formulas of solitary travelling wave solutions and kink travelling wave solutions and periodic travelling wave solutions are listed.

关 键 词：solitary wave kink and anti-kink wave periodic wave （2＋1）-Dimension nonlinear dispersive long wave equation 

分 类 号：O175.24[理学—数学]