A Generalized Tanh-Function Type Method and the(G'/G) -Expansion Method for Solving

• 作者: Weimin Zhang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: The GENERALIZED TANH-FUNCTION METHOD (G'/G) -Expansion METHOD MKDV Equation The Transformed RATIONAL Function
• 年，卷（期）: 2013,（10）
• 页码范围: 11-16
• 页数: 6页
• 分类号: O1

摘要

In this paper a generalized tanh-function type method is proposed by using the idea of the transformed rational function method. We show that the (G'/G)?-expansion method is a special case of the generalized tanh-function type method, so the (G'/G)?-expansion method is considered as a special deformation application of the transformed rational function method. We demonstrate that all solutions obtained by the (G'/G)?-expansion method were found by the generalized tanh-function type method. As applications, we consider mKdV equation. Compared with the (G'/G) -expansion method, the generalized tanh-function type method gives new and more abundant solutions.