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
收藏
页码：591 / 606
页数：16
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