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

A Generalized Tanh-Function Type Method and the(G'/G) -Expansion Method for Solving
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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. 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.
作者 Weimin Zhang
机构地区 School of Mathematics
出处 《Applied Mathematics》 2013年第10期11-16,共6页 应用数学(英文)
关键词 The GENERALIZED TANH-FUNCTION METHOD (G'/G) -Expansion METHOD MKDV Equation The Transformed RATIONAL Function The Generalized Tanh-Function Method (G'/G) -Expansion Method mKdV Equation The Transformed Rational Function
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