A unified approach in seeking the solitary wave solutions to sine-Gordon type equations

• 来源期刊: 中国物理（英文版）
• 关键词: auxiliary ordinary differential equation solitary wave solution sine-Gordon type equations
• 年，卷（期）: 2005,（7）
• 页码范围: 1303-1306
• 页数: 4页
• 语种: 英文

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 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.