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A Generalized and Improved (G `/G)-Expansion Method for Nonlinear Evolution Equations
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
Authors:
Zayed, E. M. E, Akbar, M. Ali, Ali, Norhashidah Hj. Mohd
DOI:
10.1155/2012/459879
Journal:
MATHEMATICAL PROBLEMS IN ENGINEERING HINDAWI PUBLISHING CORPORATION
Volume:
Research Area:
Engineering; Mathematics
ISSN
ISI:000302680900001
Keywords :
, Generalized , Improved , `/G)-Expansion Method , Nonlinear Evolution
Abstract:
A generalized and improved (G'/G)-expansion method is proposed for finding more general type and new travelling wave solutions of nonlinear evolution equations. To illustrate the novelty and advantage of the proposed method, we solve the KdV equation, the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation and the strain wave equation in microstructured solids. Abundant exact travelling wave solutions of these equations are obtained, which include the soliton, the hyperbolic function, the trigonometric function, and the rational functions. Also it is shown that the proposed method is efficient for solving nonlinear evolution equations in mathematical physics and in engineering.
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