Functionally separable solutions to nonlinear wave equations by group foliation method

被引：9

作者：

Hu, Jiayi

Qu, Changzheng ^{[1
]}

机构：

[1] NW Univ Xian, Ctr Nonlinear Studies, Xian 710069, Peoples R China

[2] NW Univ Xian, Dept Math, Xian 710069, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 01期

关键词：

group foliation method; functional separation of variable; nonlinear wave equation; symmetry group;

D O I：

10.1016/j.jmaa.2006.07.075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply functional separation of variables within the approach of the group foliation method to the nonlinear wave equation with variable speed and external force: u(tt) = A(x)(D(u)u(x))(x) + B(x) Q(u), A(x) not equal 0. A classification of these equations admitting functionally separable solutions is performed and the resulting solutions are obtained in explicit form in many cases. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：298 / 311

页数：14

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