P. G. Esteevez, “Darboux Transformation and Solutions for an Equation in 2 + 1 Dimensions,” Journal Mathematical Physics, Vol. 40, No. 3, 1999, pp. 1406-1419. http://dx.doi.org/10.1063/1.532811

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.