Title: The modified (G/G)-expansion method for the (1+1) Hirota-Ramani and (2+1) breaking soliton equation
Abstract: In this article, we apply the modified (G'/G)-expansion method to construct hyperbolic, trigonometric and rational function solutions of nonlinear evolution equations. This method can be thought of as the generalization of the (G'/G)-expansion method given recently by Wang et al. (2008). To illustrate the validity and advantages of this method, the (1+1)-dimensional Hirota-Ramani equation and the (2+1)-dimensional breaking soliton equation are considered and more general traveling wave solutions are obtained. It is shown that the proposed method provides a more general powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Key words: Nonlinear evolution equations, modified (G'/G)-expansion method, hyperbolic Function solutions, trigonometric function solutions, rational function solutions.