Traveling wave solutions of nonlinear evolution equations via the enhanced (G′/G)-expansion method
In this article, an enhanced (G′/G)-expansion method is suggested to find the traveling wave solutions for the modified Korteweg de-Vries (mKDV) equation. Abundant traveling wave solutions are derived, which are expressed by the hyperbolic and trigonometric functions involving several parameters. Th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2014-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000990 |
| _version_ | 1818924797429547008 |
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| author | Kamruzzaman Khan M. Ali Akbar |
| author_facet | Kamruzzaman Khan M. Ali Akbar |
| author_sort | Kamruzzaman Khan |
| collection | DOAJ |
| description | In this article, an enhanced (G′/G)-expansion method is suggested to find the traveling wave solutions for the modified Korteweg de-Vries (mKDV) equation. Abundant traveling wave solutions are derived, which are expressed by the hyperbolic and trigonometric functions involving several parameters. The efficiency of this method for finding these exact solutions has been demonstrated. It is shown that the proposed method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics. |
| first_indexed | 2024-12-20T02:31:02Z |
| format | Article |
| id | doaj.art-3077ec6d722444ff86db71efe5c7c985 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-20T02:31:02Z |
| publishDate | 2014-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-3077ec6d722444ff86db71efe5c7c9852022-12-21T19:56:33ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2014-07-0122222022610.1016/j.joems.2013.07.009Traveling wave solutions of nonlinear evolution equations via the enhanced (G′/G)-expansion methodKamruzzaman Khan0M. Ali Akbar1Department of Mathematics, Pabna University of Science and Technology, BangladeshDepartment of Applied Mathematics, University of Rajshahi, BangladeshIn this article, an enhanced (G′/G)-expansion method is suggested to find the traveling wave solutions for the modified Korteweg de-Vries (mKDV) equation. Abundant traveling wave solutions are derived, which are expressed by the hyperbolic and trigonometric functions involving several parameters. The efficiency of this method for finding these exact solutions has been demonstrated. It is shown that the proposed method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics.http://www.sciencedirect.com/science/article/pii/S1110256X13000990Enhanced (G′/G)- expansion methodmKDV equationTraveling wave solutions |
| spellingShingle | Kamruzzaman Khan M. Ali Akbar Traveling wave solutions of nonlinear evolution equations via the enhanced (G′/G)-expansion method Journal of the Egyptian Mathematical Society Enhanced (G′/G)- expansion method mKDV equation Traveling wave solutions |
| title | Traveling wave solutions of nonlinear evolution equations via the enhanced (G′/G)-expansion method |
| title_full | Traveling wave solutions of nonlinear evolution equations via the enhanced (G′/G)-expansion method |
| title_fullStr | Traveling wave solutions of nonlinear evolution equations via the enhanced (G′/G)-expansion method |
| title_full_unstemmed | Traveling wave solutions of nonlinear evolution equations via the enhanced (G′/G)-expansion method |
| title_short | Traveling wave solutions of nonlinear evolution equations via the enhanced (G′/G)-expansion method |
| title_sort | traveling wave solutions of nonlinear evolution equations via the enhanced g g expansion method |
| topic | Enhanced (G′/G)- expansion method mKDV equation Traveling wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X13000990 |
| work_keys_str_mv | AT kamruzzamankhan travelingwavesolutionsofnonlinearevolutionequationsviatheenhancedggexpansionmethod AT maliakbar travelingwavesolutionsofnonlinearevolutionequationsviatheenhancedggexpansionmethod |