Lie symmetries and exact solutions for a short-wave model

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...

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Veröffentlicht in:Chinese physics B 2013-04, Vol.22 (4), p.200-204, Article 040510
1. Verfasser: 陈爱永 章丽娜 温双全
Format: Artikel
Sprache:eng
Schlagworte:
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
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Beschreibung
Zusammenfassung: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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/4/040510