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A Generalized and Improved (G′G)-Expansion Method for Nonlinear Evolution Equations
Joint Authors
Zayed, E. M. E.
Akbar, M. Ali
Mohd Ali, Norhashidah Hj.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-12
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Akbar, M. Ali& Mohd Ali, Norhashidah Hj.& Zayed, E. M. E.. 2012. A Generalized and Improved (G′G)-Expansion Method for Nonlinear Evolution Equations. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1029588
Modern Language Association (MLA)
Akbar, M. Ali…[et al.]. A Generalized and Improved (G′G)-Expansion Method for Nonlinear Evolution Equations. Mathematical Problems in Engineering No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-1029588
American Medical Association (AMA)
Akbar, M. Ali& Mohd Ali, Norhashidah Hj.& Zayed, E. M. E.. A Generalized and Improved (G′G)-Expansion Method for Nonlinear Evolution Equations. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1029588
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029588