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

页码：64 / 76

页数：13

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