Approximate solution of forced korteweg-de vries equation
Several findings on forced solitons generated by the forced Korteweg de Vries equation (fKdV) are discussed in this paper. This equation has lost group symmetries due to the forcing term. The traditional group-theoretical approach can no longer generate analytic solution of solitons, because there a...
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| Format: | Article |
| Language: | English |
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Jabatan Matematik
2002
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| Online Access: | http://eprints.utm.my/2410/1/CheeTiong2002_AproximateSolutionOfForcedKdVEquation.pdf |
| _version_ | 1825909238415753216 |
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| author | Ong, Chee Tiong Mohamad, Mohd. Nor Shanpu, Samuel Shen |
| author_facet | Ong, Chee Tiong Mohamad, Mohd. Nor Shanpu, Samuel Shen |
| author_sort | Ong, Chee Tiong |
| collection | ePrints |
| description | Several findings on forced solitons generated by the forced Korteweg de Vries equation (fKdV) are discussed in this paper. This equation has lost group symmetries due to the forcing term. The traditional group-theoretical approach can no longer generate analytic solution of solitons, because there are no infinitely many conservation laws. Approximate solution and numerical simulation seem to be the only way to solve fKdV equations. In this paper we show how approximate scheme can be used to solve the fKdV equation and generate uniform forced solitons. A detail derivation of the approximate solution was provided and various profiles of fKdV such as the depth of depression zone; hd, amplitude; as, speed; s and the period; Ts of generation of forced uniform solitons was given. |
| first_indexed | 2024-03-05T17:59:10Z |
| format | Article |
| id | utm.eprints-2410 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T17:59:10Z |
| publishDate | 2002 |
| publisher | Jabatan Matematik |
| record_format | dspace |
| spelling | utm.eprints-24102017-10-23T08:04:13Z http://eprints.utm.my/2410/ Approximate solution of forced korteweg-de vries equation Ong, Chee Tiong Mohamad, Mohd. Nor Shanpu, Samuel Shen QA Mathematics Several findings on forced solitons generated by the forced Korteweg de Vries equation (fKdV) are discussed in this paper. This equation has lost group symmetries due to the forcing term. The traditional group-theoretical approach can no longer generate analytic solution of solitons, because there are no infinitely many conservation laws. Approximate solution and numerical simulation seem to be the only way to solve fKdV equations. In this paper we show how approximate scheme can be used to solve the fKdV equation and generate uniform forced solitons. A detail derivation of the approximate solution was provided and various profiles of fKdV such as the depth of depression zone; hd, amplitude; as, speed; s and the period; Ts of generation of forced uniform solitons was given. Jabatan Matematik 2002-12 Article PeerReviewed application/pdf en http://eprints.utm.my/2410/1/CheeTiong2002_AproximateSolutionOfForcedKdVEquation.pdf Ong, Chee Tiong and Mohamad, Mohd. Nor and Shanpu, Samuel Shen (2002) Approximate solution of forced korteweg-de vries equation. Matematika, 18 (2). pp. 67-78. ISSN 0127 8274 http://161.139.72.2/oldfs/images/stories/matematika/200218201.pdf |
| spellingShingle | QA Mathematics Ong, Chee Tiong Mohamad, Mohd. Nor Shanpu, Samuel Shen Approximate solution of forced korteweg-de vries equation |
| title | Approximate solution of forced korteweg-de vries equation |
| title_full | Approximate solution of forced korteweg-de vries equation |
| title_fullStr | Approximate solution of forced korteweg-de vries equation |
| title_full_unstemmed | Approximate solution of forced korteweg-de vries equation |
| title_short | Approximate solution of forced korteweg-de vries equation |
| title_sort | approximate solution of forced korteweg de vries equation |
| topic | QA Mathematics |
| url | http://eprints.utm.my/2410/1/CheeTiong2002_AproximateSolutionOfForcedKdVEquation.pdf |
| work_keys_str_mv | AT ongcheetiong approximatesolutionofforcedkortewegdevriesequation AT mohamadmohdnor approximatesolutionofforcedkortewegdevriesequation AT shanpusamuelshen approximatesolutionofforcedkortewegdevriesequation |