The Hirota's direct method and multi-soliton solutions
The study of soliton theory is always a major source of mathematical and physical inspiration. For the past few decades, soliton theory has attracted considerable attention in diverse physical applications and the various mathematical methods of solution. This project discusses on the direct method...
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2010
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my-utm-ep.115762018-05-30T02:49:08Z The Hirota's direct method and multi-soliton solutions 2010-04 Chia, Chee Pen QA Mathematics The study of soliton theory is always a major source of mathematical and physical inspiration. For the past few decades, soliton theory has attracted considerable attention in diverse physical applications and the various mathematical methods of solution. This project discusses on the direct method of Hirota to obtain the multi-soliton solutions of physically significant nonlinear waves equations. This includes equations with single bilinear form and coupled system of bilinear form, together with the use of Hirota D-operator and various types of transformation. Singularity analysis is used to formulate the suitable transformation. 2010-04 Thesis http://eprints.utm.my/id/eprint/11576/ http://eprints.utm.my/id/eprint/11576/1/ChiaCheePenMFSA2010.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science |
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Universiti Teknologi Malaysia |
| collection |
UTM Institutional Repository |
| language |
English |
| topic |
QA Mathematics |
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QA Mathematics Chia, Chee Pen The Hirota's direct method and multi-soliton solutions |
| description |
The study of soliton theory is always a major source of mathematical and physical inspiration. For the past few decades, soliton theory has attracted considerable attention in diverse physical applications and the various mathematical methods of solution. This project discusses on the direct method of Hirota to obtain the multi-soliton solutions of physically significant nonlinear waves equations. This includes equations with single bilinear form and coupled system of bilinear form, together with the use of Hirota D-operator and various types of transformation. Singularity analysis is used to formulate the suitable transformation. |
| format |
Thesis |
| qualification_level |
Master's degree |
| author |
Chia, Chee Pen |
| author_facet |
Chia, Chee Pen |
| author_sort |
Chia, Chee Pen |
| title |
The Hirota's direct method and multi-soliton solutions |
| title_short |
The Hirota's direct method and multi-soliton solutions |
| title_full |
The Hirota's direct method and multi-soliton solutions |
| title_fullStr |
The Hirota's direct method and multi-soliton solutions |
| title_full_unstemmed |
The Hirota's direct method and multi-soliton solutions |
| title_sort |
hirota's direct method and multi-soliton solutions |
| granting_institution |
Universiti Teknologi Malaysia, Faculty of Science |
| granting_department |
Faculty of Science |
| publishDate |
2010 |
| url |
http://eprints.utm.my/id/eprint/11576/1/ChiaCheePenMFSA2010.pdf |
| _version_ |
1747814872139169792 |