Tsunami & Forced Korteweg de Vries Equation
A systematic and comprehensive study of forced solitons in Tsunami waves that can be modelled mathematically by forced Korteweg-de Vries (fKdV). This equation have lost the translation-invariant type of group symmetries due to forcing. The traditional group-theoretical such as inverse scattering met...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2011
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| Subjects: | |
| Online Access: | http://eprints.utem.edu.my/id/eprint/4449/ http://eprints.utem.edu.my/id/eprint/4449/1/Tsunami_%26_Forced__Korteweg_de_Vries_Equation.pdf |
| _version_ | 1848887035073396736 |
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| author | Ong, Chee Tiong Loi, Wei Sen Choy, Yaan Yee Tay, Kim Gaik |
| author_facet | Ong, Chee Tiong Loi, Wei Sen Choy, Yaan Yee Tay, Kim Gaik |
| author_sort | Ong, Chee Tiong |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | A systematic and comprehensive study of forced solitons in Tsunami waves that can be modelled mathematically by forced Korteweg-de Vries (fKdV). This equation have lost the translation-invariant type of group symmetries due to forcing. The traditional group-theoretical such as inverse scattering method, Backlund transformations and other known approaches can no longer generate analytic solutions of solitons, because there are no infinitely many conservation laws. Numerical simulations and approximate solutions seem the only ways to solve the forced nonlinear evolution equations. Numerical simulations of forced solitons will be implemented by a user-friendly software package FORSO. In this paper we show how approximate scheme can be used to generate forced solitons. Approximate solution also gives various profiles of fKdV such as the depth of depression zone; , amplitude; , speed; s and the period; of generation of forced solitons in Tsunami waves. |
| first_indexed | 2025-11-15T19:47:59Z |
| format | Conference or Workshop Item |
| id | utem-4449 |
| institution | Universiti Teknikal Malaysia Melaka |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T19:47:59Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utem-44492023-05-24T14:09:26Z http://eprints.utem.edu.my/id/eprint/4449/ Tsunami & Forced Korteweg de Vries Equation Ong, Chee Tiong Loi, Wei Sen Choy, Yaan Yee Tay, Kim Gaik QA75 Electronic computers. Computer science A systematic and comprehensive study of forced solitons in Tsunami waves that can be modelled mathematically by forced Korteweg-de Vries (fKdV). This equation have lost the translation-invariant type of group symmetries due to forcing. The traditional group-theoretical such as inverse scattering method, Backlund transformations and other known approaches can no longer generate analytic solutions of solitons, because there are no infinitely many conservation laws. Numerical simulations and approximate solutions seem the only ways to solve the forced nonlinear evolution equations. Numerical simulations of forced solitons will be implemented by a user-friendly software package FORSO. In this paper we show how approximate scheme can be used to generate forced solitons. Approximate solution also gives various profiles of fKdV such as the depth of depression zone; , amplitude; , speed; s and the period; of generation of forced solitons in Tsunami waves. 2011-11-09 Conference or Workshop Item PeerReviewed application/pdf en http://eprints.utem.edu.my/id/eprint/4449/1/Tsunami_%26_Forced__Korteweg_de_Vries_Equation.pdf Ong, Chee Tiong and Loi, Wei Sen and Choy, Yaan Yee and Tay, Kim Gaik (2011) Tsunami & Forced Korteweg de Vries Equation. In: Simposium Kebangsaan Sains Matematik ke 19, 9-11 November 2012, UiTM Pulau Pinang. |
| spellingShingle | QA75 Electronic computers. Computer science Ong, Chee Tiong Loi, Wei Sen Choy, Yaan Yee Tay, Kim Gaik Tsunami & Forced Korteweg de Vries Equation |
| title | Tsunami & Forced Korteweg de Vries Equation |
| title_full | Tsunami & Forced Korteweg de Vries Equation |
| title_fullStr | Tsunami & Forced Korteweg de Vries Equation |
| title_full_unstemmed | Tsunami & Forced Korteweg de Vries Equation |
| title_short | Tsunami & Forced Korteweg de Vries Equation |
| title_sort | tsunami & forced korteweg de vries equation |
| topic | QA75 Electronic computers. Computer science |
| url | http://eprints.utem.edu.my/id/eprint/4449/ http://eprints.utem.edu.my/id/eprint/4449/1/Tsunami_%26_Forced__Korteweg_de_Vries_Equation.pdf |