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.

Abbreviation

PACS: 02.30. Jr, 05.45.Yv, 02.30.Ik.