A unified approach in seeking the solitary wave solutions to sine-Gordon type equations中国物理：英文版论文
【题名】：A unified approach in seeking the solitary wave solutions to sine-Gordon type equations中国物理：英文版论文(A unified approach in seeking the solitary wave solutions to sine-Gordon type equationsZhongGuoWuLi：YingWenBanLunWen) 【关键词】：辅助常微分方程法 孤波解 戈登型正弦函数 行进波解 非线性偏微分方程 【keywords】：FuZhuChangWeiFenFangChengFa GuBoJie GeDengXingZhengXianHanShu XingJinBoJie FeiXianXingPianWeiFenFangCheng 【作者】：谢元喜 唐驾时      【来源】： 知识词典 【期刊名称】：中国物理：英文版(ZhongGuoWuLi：YingWenBan) 【国际标准刊号】：1009-1963        【国内统一刊号】：11-4407/O4 【作者单位】：DepartmentofEngineeringMechanics,HunanUniversity,Changsha410082,China(DepartmentofEngineeringMechanics,HunanUniversity,Changsha410082,China) 【分类号】：O411.1 O241.82      【页码】：-1303-1306      【出版年】：2005.7          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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