Lie symmetries and exact solutions for a short-wave model
Lie symmetries and exact solutions for a short-wave model
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DOI：
10.1088/1674-1056/22/4/040510
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发表时间：
2013-04
影响因子：
1.7
通讯作者：
Chen Ai-yong;Zhang Li-na;Wen Shuang-quan
中科院分区：
文献类型：
--
作者：
Chen Ai-yong;Zhang Li-na;Wen Shuang-quan
本文对一个短波模型进行了Lie对称性分析和广义对称性方法。给出了该方程的对称性，并利用动力系统分岔理论分析了行波系统的相图。得到了四类行波解的精确参数表示。
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.