%0 Journal Article
%T A unified approach in seeking the solitary wave solutions to sine-Gordon type equations<br>求sine-Gordon 型方程孤波解的一种统一方法
%A Xie Yuan-Xi
%A Tang Jia-Shi
%A <br>谢元喜
%A 唐驾时
%J 中国物理 B
%D 2005
%I 
%X 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.
%K auxiliary ordinary differential equation
%K solitary wave solution
%K sine--Gordon type equa-tions<br>辅助常微分方程
%K 孤波解
%K sine-Gordon
%K 型方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=2C248F34915D604006D87C8078ABBB40&yid=2DD7160C83D0ACED&vid=F3583C8E78166B9E&iid=DF92D298D3FF1E6E&sid=684DB2D9FF55A0DB&eid=10F17081942653E7&journal_id=1009-1963&journal_name=中国物理&referenced_num=12&reference_num=26