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.
Received: 14 January 2005
Revised: 08 March 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10472029)
Cite this article:
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 2005 Chinese Physics 14 1303
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
