One-Dimensional Optimal System and Similarity Reductions of Wu–Zhang Equation

The one-dimensional optimal system for the Lie symmetry group of the（2＋1）-dimensional Wu–Zhan equation is constructed by the general and systematic approach. Based on the optimal system, the complete and inequivalent symmetry reduction systems are presented in the form of table. It is noteworthy tha...

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Bibliographic Details
Published in:理论物理通讯：英文版 2016, Vol.65 (7), p.1-11
Main Author: 熊娜 李玉奇 陈俊超 陈勇
Format: Article
Language:English
Subjects:
Boussinesq方程
一维
优化系统
可积方程
对称性约化
对称群
最优系统
相似约化
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Summary:The one-dimensional optimal system for the Lie symmetry group of the（2＋1）-dimensional Wu–Zhan equation is constructed by the general and systematic approach. Based on the optimal system, the complete and inequivalent symmetry reduction systems are presented in the form of table. It is noteworthy that a new Painlev integrable equation with constant coefficient is in the table besides the classic Boussinesq equation and the steady cas of the Wu–Zhang equation.
ISSN:0253-6102