Lie symmetries and exact solutions for a short-wave model  

作　　者：陈爱永 章丽娜 温双全 

机构地区：[1]School of Mathematics and Computing Science, Guilin University of Electronic Technology [2]School of Science, Huzhou University

出　　处：《Chinese Physics B》2013年第4期200-204,共5页中国物理B（英文版）

基　　金：Project supported by the Foundation of Guangxi Key Laboratory of Trusted Software, the Guangxi Natural Science Foundation, China (Grant No. 2011GXNSFA018134);the National Natural Science Foundation of China (Grant Nos. 11161013 and 61004101)

摘　　要：In this paper, the Lie symmetry analysis and generalized symmetry method are performed for a short-wave model. The symmetries for this equation are given, and the phase portraits of the traveling wave systems are analyzed using the bifurcation theory of dynamical systems. The exact parametric representations of four types of traveling wave solutions are obtained.In this paper, the Lie symmetry analysis and generalized symmetry method are performed for a short-wave model. The symmetries for this equation are given, and the phase portraits of the traveling wave systems are analyzed using the bifurcation theory of dynamical systems. The exact parametric representations of four types of traveling wave solutions are obtained.

关 键 词：Lie symmetry short-wave model bifurcation method loop solution 

分 类 号：O241.82[理学—计算数学]