Separation of variables and exact solutions of generalized nonlinear Klein-Gordon equations

被引：0
|
作者：
Qu, CZ [1 ]
He, WL
Dou, JH
机构：
[1] NW Univ Xian, Dept Math, Xian 710069, Peoples R China
[2] NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China
来源：
PROGRESS OF THEORETICAL PHYSICS | 2001年 / 105卷 / 03期
关键词：
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the generalized conditional symmetry approach is developed to study the separation of variables for generalized nonlinear Klein-Gordon equations. We derive a complete list of canonical forms for a generalized nonlinear Klein-Gordon equation and a system of generalized nonlinear Klein-Gordon equations that submit ti, separation of variables in some coordinates. As a result, some exact solutions to the Bullough-Dodd equation, Liouville equation, Sine-Gordon equation and Sinh-Gordon equation are obtained. A symmetry group interpretation of the known results concerning separation of variables with the scalar Klein-Gordon equation is also given.
引用
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页码：379 / 398
页数：20
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