Lie Reduction and Conditional Symmetries of Some Variable Coefficient Nonlinear Wave Equations

被引：0

作者：

Huang Ding-Jiang ^{[1
,2
,3
]}

Zhou Shui-Geng ^{[1
,2
]}

Mei Jian-Qin ^{[4
]}

Zhang Hong-Qing ^{[4
]}

机构：

[1] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China

[3] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

[4] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2010年 / 53卷 / 01期

基金：

中国国家自然科学基金;

关键词：

symmetry reduction; conditional symmetry; exact solutions; variable-coefficient nonlinear wave equations; LINEAR DIFFUSION-EQUATIONS; GROUP CLASSIFICATION; DIFFERENTIAL-EQUATIONS; SEPARATION; PROPAGATION; SYSTEMS; HEAT;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Lie symmetry reduction of some truly "variable coefficient" wave equations which are singled out from a class of (1 + 1)-dimensional variable coefficient nonlinear wave equations with respect to one and two-dimensional algebrasis carried out. Some classes of exact solutions of the investigated equations are found by means of both the reductions and some modern techniques such as additional equivalent transformations and hidden symmetries and so on. Conditional symmetries are also discussed.

引用

页码：1 / 5

页数：5

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