Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations
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-Ma...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2012
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| Online Access: | http://eprints.usm.my/38016/ http://eprints.usm.my/38016/1/A_Generalized_and_Improved_%28G%27G%29_-Expansion_Method_for_Nonlinear_Evolution_Equations.pdf |
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| author | Ali Akbar, M. Hj. Mohd. Ali, Norhashidah Zayed, E. M. E. |
| author_facet | Ali Akbar, M. Hj. Mohd. Ali, Norhashidah Zayed, E. M. E. |
| author_sort | Ali Akbar, M. |
| building | USM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T17:29:55Z |
| format | Article |
| id | usm-38016 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T17:29:55Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-380162017-12-20T06:16:16Z http://eprints.usm.my/38016/ Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations Ali Akbar, M. Hj. Mohd. Ali, Norhashidah Zayed, E. M. E. QA1-939 Mathematics 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. Hindawi Publishing Corporation 2012 Article PeerReviewed application/pdf en http://eprints.usm.my/38016/1/A_Generalized_and_Improved_%28G%27G%29_-Expansion_Method_for_Nonlinear_Evolution_Equations.pdf 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 https://doi.org/10.1155/2012/459879 |
| spellingShingle | QA1-939 Mathematics Ali Akbar, M. Hj. Mohd. Ali, Norhashidah Zayed, E. M. E. Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations |
| title | Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations |
| title_full | Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations |
| title_fullStr | Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations |
| title_full_unstemmed | Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations |
| title_short | Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations |
| title_sort | generalized and improved (g'/g)-expansion method for nonlinear evolution equations |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/38016/ http://eprints.usm.my/38016/ http://eprints.usm.my/38016/1/A_Generalized_and_Improved_%28G%27G%29_-Expansion_Method_for_Nonlinear_Evolution_Equations.pdf |