A Generalized Tanh-Function Type Method and the(G%26apos;/G) -Expansion Method for Solving

作者：Weimin Zhang

来源：Applied Mathematics (AM), 2013, 04(10): 11-16.

DOI：10.4236/am.2013.410A1003

• The Generalized Tanh-Function Method
• G%26apos
• /G) -Expansion Method%26searchField=keyword%26quot
• %26gt
• (G%26apos
• /G) -Expansion Method
• mKdV Equation
• The Transformed Rational Function

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%26apos;/G)%26nbsp;-expansion method is a special case of the generalized tanh-function type method, so the (G%26apos;/G)%26nbsp;-expansion method is considered as a special deformation application of the transformed rational function method. We demonstrate that all solutions obtained by the (G%26apos;/G)%26nbsp;-expansion method were found by the generalized tanh-function type method. As applications, we consider mKdV equation. Compared with the (G%26apos;/G) -expansion method, the generalized tanh-function type method gives new and more abundant solutions.

• 出版日期2013