Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method

Abstract

We construct new exact traveling wave solutions involving free parameters of the nonlinear reaction diffusion equation by using the improved (G ′ /G)-expansion method. The second-order linear ordinary differential equation with constant coefficients is used in this method. The obtained solutions are presented by the hyperbolic and the trigonometric functions. The solutions become in special functional form when the parameters take particular values. It is important to reveal that our solutions are in good agreement with the existing results. © 2012 Hasibun Naher and Farah Aini Abdullah.