Study of the supercritical solution of the stationary negative forced KDV equation
This paper we considers Forced KdV equation with negative forcing term. The supercritical solitary wave solutions of the stationary Forced KdV equations are obtained. In order to obtain the solutions the domain of the problem has been divided into three parts; the left, the middle and the right part...
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| Format: | Article |
| Language: | English |
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Facultry Science, Universiti Teknologi Malaysia
2007
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| Online Access: | http://eprints.utm.my/11833/1/MukhetaIsa2007_StudyOfTheSupercriticalSolutionOfTheStationary.pdf |
| _version_ | 1796854954645782528 |
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| author | Hamad, Abdelaziz Isa, Mukheta |
| author_facet | Hamad, Abdelaziz Isa, Mukheta |
| author_sort | Hamad, Abdelaziz |
| collection | ePrints |
| description | This paper we considers Forced KdV equation with negative forcing term. The supercritical solitary wave solutions of the stationary Forced KdV equations are obtained. In order to obtain the solutions the domain of the problem has been divided into three parts; the left, the middle and the right parts. The solution on the left and the right parts are obtained by an analytical method. The solution on the middle part is expressed in terms of Weierstarss elliptic function. A computer programs using Mathematica is designed to produce the solutions. The complete solution is found by matching the solutions of all the three parts. It is found that there are four different solutions according to the values of the phase shift. All solutions are positive. |
| first_indexed | 2024-03-05T18:21:41Z |
| format | Article |
| id | utm.eprints-11833 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:21:41Z |
| publishDate | 2007 |
| publisher | Facultry Science, Universiti Teknologi Malaysia |
| record_format | dspace |
| spelling | utm.eprints-118332012-08-17T04:11:53Z http://eprints.utm.my/11833/ Study of the supercritical solution of the stationary negative forced KDV equation Hamad, Abdelaziz Isa, Mukheta QA75 Electronic computers. Computer science This paper we considers Forced KdV equation with negative forcing term. The supercritical solitary wave solutions of the stationary Forced KdV equations are obtained. In order to obtain the solutions the domain of the problem has been divided into three parts; the left, the middle and the right parts. The solution on the left and the right parts are obtained by an analytical method. The solution on the middle part is expressed in terms of Weierstarss elliptic function. A computer programs using Mathematica is designed to produce the solutions. The complete solution is found by matching the solutions of all the three parts. It is found that there are four different solutions according to the values of the phase shift. All solutions are positive. Facultry Science, Universiti Teknologi Malaysia 2007 Article PeerReviewed application/pdf en http://eprints.utm.my/11833/1/MukhetaIsa2007_StudyOfTheSupercriticalSolutionOfTheStationary.pdf Hamad, Abdelaziz and Isa, Mukheta (2007) Study of the supercritical solution of the stationary negative forced KDV equation. Matematika, 23 (2). pp. 133-145. ISSN 0127-8274 http://www.fs.utm.my/matematika/content/view/143/31/ |
| spellingShingle | QA75 Electronic computers. Computer science Hamad, Abdelaziz Isa, Mukheta Study of the supercritical solution of the stationary negative forced KDV equation |
| title | Study of the supercritical solution of the stationary negative forced KDV equation
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| title_full | Study of the supercritical solution of the stationary negative forced KDV equation
|
| title_fullStr | Study of the supercritical solution of the stationary negative forced KDV equation
|
| title_full_unstemmed | Study of the supercritical solution of the stationary negative forced KDV equation
|
| title_short | Study of the supercritical solution of the stationary negative forced KDV equation
|
| title_sort | study of the supercritical solution of the stationary negative forced kdv equation |
| topic | QA75 Electronic computers. Computer science |
| url | http://eprints.utm.my/11833/1/MukhetaIsa2007_StudyOfTheSupercriticalSolutionOfTheStationary.pdf |
| work_keys_str_mv | AT hamadabdelaziz studyofthesupercriticalsolutionofthestationarynegativeforcedkdvequation AT isamukheta studyofthesupercriticalsolutionofthestationarynegativeforcedkdvequation |