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  5. ,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

来源 :中国物理（英文版） | 被引量 : 0次 | 上传用户：nikig
【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
【作 者】
：
Xie Yuan-Xi Tang Jia-Shi 
【机 构】
：
Department of Engineering Mechanics, Hunan University, Changsha 410082, China
【出 处】
：
中国物理（英文版）
【发表日期】
：
2005年7期
【关键词】
：
auxiliary ordinary differential equation solitary wave solution sine-Gordon type 
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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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