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

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DOI: 10.4236/am.2013.410A1003    2,422 Downloads   3,892 Views   Citations
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ABSTRACT

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

W. Zhang, "A Generalized Tanh-Function Type Method and the(G'/G) -Expansion Method for Solving," Applied Mathematics, Vol. 4 No. 10A, 2013, pp. 11-16. doi: 10.4236/am.2013.410A1003.

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