A unified approach in seeking the solitary wave solutions to sine-Gordon type equations

doi:10.1088/1009-1963/14/7/006

中国物理B ›› 2005, Vol. 14 ›› Issue (7): 1303-1306.doi: 10.1088/1009-1963/14/7/006

A unified approach in seeking the solitary wave solutions to sine-Gordon type equations

谢元喜, 唐驾时

Department of Engineering Mechanics, Hunan University, Changsha 410082, China

收稿日期:2005-01-14 修回日期:2005-03-08 出版日期:2005-06-20 发布日期:2005-06-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10472029)

A unified approach in seeking the solitary wave solutions to sine-Gordon type equations

Xie Yuan-Xi (谢元喜), Tang Jia-Shi (唐驾时)

Department of Engineering Mechanics, Hunan University, Changsha 410082, China

Received:2005-01-14 Revised:2005-03-08 Online:2005-06-20 Published:2005-06-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10472029)

摘要/Abstract

摘要： By utilizing the solutions of an auxiliary ordinary differential equation introduced in this paper, we present a simple and direct method to uniformly construct the exact solitary wave solutions for sine--Gordon type equations. As illustrative examples, the exact solitary wave solutions of some physically significant sine--Gordon type equations, including the sine--Gordon equation, double sine--Gordon equation and mKdV--sine--Gordon equation, are investigated by means of this method.

Abstract: By utilizing the solutions of an auxiliary ordinary differential equation introduced in this paper, we present a simple and direct method to uniformly construct the exact solitary wave solutions for sine--Gordon type equations. As illustrative examples, the exact solitary wave solutions of some physically significant sine--Gordon type equations, including the sine--Gordon equation, double sine--Gordon equation and mKdV--sine--Gordon equation, are investigated by means of this method.

Key words: auxiliary ordinary differential equation, solitary wave solution, sine--Gordon type equa-tions

中图分类号: (Solitons)

05.45.Yv

02.30.Hq (Ordinary differential equations)

谢元喜, 唐驾时. A unified approach in seeking the solitary wave solutions to sine-Gordon type equations[J]. 中国物理B, 2005, 14(7): 1303-1306.

Xie Yuan-Xi (谢元喜), Tang Jia-Shi (唐驾时). A unified approach in seeking the solitary wave solutions to sine-Gordon type equations[J]. Chinese Physics, 2005, 14(7): 1303-1306.

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A unified approach in seeking the solitary wave solutions to sine-Gordon type equations

A unified approach in seeking the solitary wave solutions to sine-Gordon type equations

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