New exact solutions of the (n+1)-dimensional sine-Gordon equation using double elliptic equation method

被引：5

作者：

Qing, Meng ^{[2
]}

Bin, He ^{[1
]}

Rui Weiguo ^{[1
]}

Yao, Long ^{[1
]}

机构：

[1] Honghe Univ, Dept Math, Mengzi, Yunnan, Peoples R China

[2] Honghe Univ, Dept Phys, Mengzi, Yunnan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 03期

基金：

中国国家自然科学基金;

关键词：

(n+1)-dimensional sine-Gordon equation; double elliptic equation method; exact solution; Jacobi elliptic function; PERIODIC-WAVE SOLUTIONS; F-EXPANSION METHOD; BREATHER;

D O I：

10.1080/00207160802158710

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the (n+1)-dimensional sine-Gordon equation is studied using double elliptic equation method. With the aid of Maple, more exact solutions expressed by Jacobi elliptic functions are obtained. When the modulus m of Jacobi elliptic function is driven to the limit 1 and 0, some exact solutions expressed by hyperbolic function solutions and trigonometric functions can also be obtained, respectively.

引用

页码：591 / 606

页数：16

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