Lie symmetries and exact solutions for a short-wave model

被引：3
|
作者：
Chen Ai-Yong [1 ]
Zhang Li-Na [2 ]
Wen Shuang-Quan [1 ]
机构：
[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China
[2] Huzhou Univ, Sch Sci, Huzhou 313000, Peoples R China
来源：
CHINESE PHYSICS B | 2013年 / 22卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Lie symmetry; short-wave model; bifurcation method; loop solution; SOLITON-SOLUTIONS; EQUATION; CUSP;
D O I：
10.1088/1674-1056/22/4/040510
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
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收藏
页数：5
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