双Sine-Gordon方程的简洁解法(英)

华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (5): 24-26,7.

双Sine-Gordon方程的简洁解法(英)

谢元喜¹, 唐驾时²

^{1.湖南理工学院物理系, 湖南岳阳 414000;
2.湖南大学工程力学系, 长沙 410082}

收稿日期:2005-03-30 修回日期:2005-10-31 发布日期:2006-09-25
通讯作者: 谢元喜

Concise Approach for Solving Double Sine-Gordon Equation(English)

XIE Yuan-xi¹, TANG Jia-shi²

1. Department of Physics, Hunan Institute of Science and Technology, Yueyang Hunan 414000, China 2.Department of Engineering Mechanics, Hunan University, Changsha 410082, China

Received:2005-03-30 Revised:2005-10-31 Published:2006-09-25
Contact: XIE Yuan-xi

摘要/Abstract

摘要： 借助于一个可用分离变量法求解的辅助常微分方程，简洁地求得了双sine-Gordon方程的若干显式精确解.

关键词: 辅助常微分方程, 双sine-Gordon方程, 显式精确解, 辅助常微分方程, 双sine-Gordon方程, 显式精确解

Abstract: By introducing an additional ordinary differential equation and the method of variable separation, some explicit and exact solutions to double sine-Gordon equation were found in a concise way.

Key words: double sine-Gordon equation, explicit and exact solution, additional ordinary differential equation, double sine-Gordon equation, explicit and exact solution

中图分类号:

O175.29

谢元喜;唐驾时. 双Sine-Gordon方程的简洁解法(英)[J]. 华东师范大学学报(自然科学版), 2006, 2006(5): 24-26,7.

XIE Yuan-xi;TANG Jia-shi. Concise Approach for Solving Double Sine-Gordon Equation(English)[J]. Journal of East China Normal University(Natural Sc, 2006, 2006(5): 24-26,7.