| 求sine-Gordon 型方程孤波解的一种统一方法 |
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| 引用本文： | 谢元喜,唐驾时.求sine-Gordon 型方程孤波解的一种统一方法[J].中国物理 B,2005,14(7):1303-1306. |
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| 作者姓名： | 谢元喜 唐驾时 |
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| 作者单位： | Department of Engineering Mechanics, Hunan University, Changsha 410082, China;Department of Engineering Mechanics, Hunan University, Changsha 410082, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 10472029) |
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| 摘 要： | 借助于一个辅助常微分方程的解，提出了一种求sine-Gordon 型方程孤波解的统一方法，并用该法简洁地求得了三个著名的sine-Gordon 型方程，即单sine-Gordon 方程、双sine-Gordon 方程和mKdV-sine-Gordon方程的精确孤波解。
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| 关 键 词： | 辅助常微分方程 孤波解 sine-Gordon 型方程 |
| 收稿时间： | 2005-01-14 |
| 修稿时间： | 3/8/2005 12:00:00 AM |
A unified approach in seeking the solitary wave solutions to sine-Gordon type equations |
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| Xie Yuan-Xi and Tang Jia-Shi.A unified approach in seeking the solitary wave solutions to sine-Gordon type equations[J].Chinese Physics B,2005,14(7):1303-1306. |
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| Authors: | Xie Yuan-Xi and Tang Jia-Shi |
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| Institution: | Department of Engineering Mechanics, Hunan University, Changsha 410082, China |
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| 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. |
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| Keywords: | auxiliary ordinary differential equation solitary wave solution sine--Gordon type equa-tions |
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