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2013 (Vol. 6, Issue: 19)
Article Information:

Exact Solutions to Some Nonlinear Partial Differential Equations in Mathematical Physics Via the (G/G) -Expansion Method

M. Ali Akbar and 1Norhashidah Hj. Mohd. Ali
Corresponding Author:  M. Ali Akbar 

Key words:  Homogeneous balance method, nonlinear partial differential equations,, the (G'/G)-expansion method, traveling wave solution, , ,
Vol. 6 , (19): 3527-3535
Submitted Accepted Published
October 17, 2012 December 28, 2012 October 20, 2013
Abstract:

The (G'/G)-expansion method is a powerful tool for the direct analysis of contender nonlinear equations. In this study, we search new exact traveling wave solutions to some nonlinear partial differential equations, such as, the Kuramoto-Sivashinsky equation, the Kawahara equation and the Carleman equations by means of the (G'/G)-expansion method which are very significant in mathematical physics. The solutions are presented in terms of the hyperbolic and the trigonometric functions involving free parameters. It is shown that the novel (G'/G)-expansion method is a competent and influential tool in solving nonlinear partial differential equations in mathematical physics.
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  Cite this Reference:
M. Ali Akbar and 1Norhashidah Hj. Mohd. Ali, 2013. Exact Solutions to Some Nonlinear Partial Differential Equations in Mathematical Physics Via the (G/G) -Expansion Method.  Research Journal of Applied Sciences, Engineering and Technology, 6(19): 3527-3535.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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