The modified (G/G)-expansion method for the (1+1) Hirota-Ramani and (2+1) breaking soliton equation

International Journal of Physical Sciences

Elsayed M. E. Zayed¹ 

关键词: Nonlinear evolution equations;    modified (G';    /G)-expansion method;    hyperbolic Function solutions;    trigonometric function solutions;    rational function solutions.;   

DOI  :  10.5897/IJPS12.720

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

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.

【 授权许可】

CC BY