Exact traveling wave solutions to 2D-generalized Benney-Luke equation  

作　　者：李继彬 

机构地区：[1]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,Zhejiang Province,P. R. China [2]Department of Mathematics,Kunming University of Science and Technology,Kunming650093,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第11期1391-1398,共8页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(Nos.10671179 and 10772158)

摘　　要：By using the dynamical system method to study the 2D-generalized Benney- Luke equation, the existence of kink wave solutions and uncountably infinite many smooth periodic wave solutions is shown. Explicit exact parametric representations for solutions of kink wave, periodic wave and unbounded traveling wave are obtained.By using the dynamical system method to study the 2D-generalized Benney- Luke equation, the existence of kink wave solutions and uncountably infinite many smooth periodic wave solutions is shown. Explicit exact parametric representations for solutions of kink wave, periodic wave and unbounded traveling wave are obtained.

关 键 词：kink wave solution periodic wave solution unbounded wave solution nonlinear wave equation dynamical system method 

分 类 号：O357.1[理学—流体力学]