A Generalized (G′/G)-Expansion Method for the Nonlinear Schrodinger Equation with Variable Coefficients

In this paper, a generalized (G'/G)-expansion method, combined with suitable transformations, is used to construct exact solutions of the nonlinear Schrodinger equation with variable coefficients. As a result, hyperbolic function solutions, trigonometeric function solutions, and rational solutions with parameters are obtained. When the parameters are taken as special values, some solutions including the known kink-type solitary wave solution and the singular travelling wave solution are derived from these obtained solutions. It is shown that the generalized (G'/G)-expansion method is direct, effective, and can be used for many other nonlinear evolution equations with variable coefficients in mathematical physics.