Two-soliton solutions of the Kadomtsevpetviashvili equation
Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equation were discussed in this paper. This equation is a two dimensional of the Korteweg-de Vries (KdV) equation. Traditional group-theoretical approach can generate analytic solution of solitons because KP equation...
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2006
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| Online Access: | http://eprints.utm.my/5424/1/JTJUN44C2006_twoSolitonsolutions.pdf |
| _version_ | 1825909736172683264 |
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| author | Tiong, Wei King Ong, Chee Tiong Isa, Mukheta |
| author_facet | Tiong, Wei King Ong, Chee Tiong Isa, Mukheta |
| author_sort | Tiong, Wei King |
| collection | ePrints |
| description | Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equation were discussed in this paper. This equation is a two dimensional of the Korteweg-de Vries (KdV) equation. Traditional group-theoretical approach can generate analytic solution of solitons because KP equation has infinitely many conservation laws. By using Hirota Bilinear method, we show via computer simulation how two solitons solution of KP equation produces triad, quadruplet and a non-resonance structures in soliton interactions |
| first_indexed | 2024-03-05T18:06:36Z |
| format | Article |
| id | utm.eprints-5424 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:06:36Z |
| publishDate | 2006 |
| publisher | Penerbit UTM Press |
| record_format | dspace |
| spelling | utm.eprints-54242017-11-01T04:17:30Z http://eprints.utm.my/5424/ Two-soliton solutions of the Kadomtsevpetviashvili equation Tiong, Wei King Ong, Chee Tiong Isa, Mukheta QA Mathematics Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equation were discussed in this paper. This equation is a two dimensional of the Korteweg-de Vries (KdV) equation. Traditional group-theoretical approach can generate analytic solution of solitons because KP equation has infinitely many conservation laws. By using Hirota Bilinear method, we show via computer simulation how two solitons solution of KP equation produces triad, quadruplet and a non-resonance structures in soliton interactions Penerbit UTM Press 2006-06 Article PeerReviewed application/pdf en http://eprints.utm.my/5424/1/JTJUN44C2006_twoSolitonsolutions.pdf Tiong, Wei King and Ong, Chee Tiong and Isa, Mukheta (2006) Two-soliton solutions of the Kadomtsevpetviashvili equation. Jurnal Teknologi (44C). pp. 23-32. ISSN 0128-3790 http://www.penerbit.utm.my/onlinejournal/44/C/JTJUN44C3.pdf |
| spellingShingle | QA Mathematics Tiong, Wei King Ong, Chee Tiong Isa, Mukheta Two-soliton solutions of the Kadomtsevpetviashvili equation |
| title | Two-soliton solutions of the Kadomtsevpetviashvili equation |
| title_full | Two-soliton solutions of the Kadomtsevpetviashvili equation |
| title_fullStr | Two-soliton solutions of the Kadomtsevpetviashvili equation |
| title_full_unstemmed | Two-soliton solutions of the Kadomtsevpetviashvili equation |
| title_short | Two-soliton solutions of the Kadomtsevpetviashvili equation |
| title_sort | two soliton solutions of the kadomtsevpetviashvili equation |
| topic | QA Mathematics |
| url | http://eprints.utm.my/5424/1/JTJUN44C2006_twoSolitonsolutions.pdf |
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