Exact solution to an approximate sine-Gordon equation in (n+1)-dimensional space

被引：33
|
作者：
Feng, ZS [1 ]
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
PHYSICS LETTERS A | 2002年 / 302卷 / 2-3期
关键词：
solitary wave; sine-Gordon equation; equilibrium point; first integral; orbit; exact solution;
D O I：
10.1016/S0375-9601(02)01114-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, using the qualitative theory of ordinary differential equations, we give a qualitative analysis to a two-dimensional plane autonomous system which is equivalent to an approximate sine-Gordon equation. Then using the first integral method, exact solutions to the approximate sine-Gordon equation in (n + 1)-dimensional space are expressed explicitly. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：64 / 76
页数：13
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