Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations

Ali Akbar, M. and Hj. Mohd. Ali, Norhashidah and Zayed, E. M. E. (2012) Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations. Mathematical Problems in Engineering, 2012 (459879). pp. 1-22. ISSN 1024-123X

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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.

Item Type: Article
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Article
Depositing User: Mr Noorazilan Noordin
Date Deposited: 20 Dec 2017 06:16
Last Modified: 20 Dec 2017 06:16

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