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M. J. Ablowitz and P. A. Clarkson, “Soliton, Nonlinear Evolution Equations and Inverse Scattering,” Cambridge University Press, New York, 1991. http://dx.doi.org/10.1017/CBO9780511623998

has been cited by the following article:

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

  AUTHORS: Weimin Zhang

  KEYWORDS: The Generalized Tanh-Function Method; (G'/G) -Expansion Method; mKdV Equation; The Transformed Rational Function

  JOURNAL NAME: Applied Mathematics, Vol.4 No.10A, September 30, 2013

  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.