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The modified (G/G)-expansion method for the (1+1) Hirota-Ramani and (2+1) breaking soliton equation
Author(s) -
M E Zayed Elsayed,
H Arnous A
Publication year - 2013
Publication title -
international journal of the physical sciences
Language(s) - English
Resource type - Journals
ISSN - 1992-1950
DOI - 10.5897/ijps12.720
Subject(s) - trigonometric functions , trigonometry , rational function , hyperbolic function , generalization , mathematics , soliton , nonlinear system , function (biology) , traveling wave , mathematical analysis , physics , geometry , quantum mechanics , evolutionary biology , biology
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.

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