Exact travelling wave solutions for (1+ 1)-dimensional dispersive long wave equation

• 来源期刊: 中国物理（英文版）
• 关键词: complete discrimination system for polynomial (1+1)-dimensional dispersive long waveequation travelling wave solution
• 年，卷（期）: 2005,（9）
• 页码范围: 1710-1715
• 页数: 6页
• 语种: 英文

摘要

A complete discrimination system for the fourth order polynomial is given. As an application, we have reduced a (1+1)-dimensional dispersive long wave equation with general coefficients to an elementary integral form and obtained its all possible exact travelling wave solutions including rational function type solutions, solitary wave solutions, triangle function type periodic solutions and Jacobian elliptic functions double periodic solutions. This method can be also applied to many other similar problems.