Lie symmetries and exact solutions for a short-wave model

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 repres...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 22; no. 4; pp. 200 - 204
Main Author 陈爱永 章丽娜 温双全
Format Journal Article
LanguageEnglish
Published 01.04.2013
Subjects
Bifurcation theory
Dynamical systems
Dynamics
Exact solutions
Lie对称性
Mathematical analysis
Mathematical models
Representations
Symmetry
Traveling waves
动力系统
对称性分析
对称方法
模型
相图分析
短波
精确解
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/4/040510

Cover

More Information
Summary: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.
Bibliography: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.
Lie symmetry; short-wave model; bifurcation method; loop solution
Chen Ai-Yong , Zhang Li-Na , Wen Shuang-Quan（a） School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China b） School of Science, Huzhou University, Huzhou 313000, China
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/4/040510