Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons
The Korteweg-de Vries (KdV) equation is a nonlinear partial differential equation has nonlinearity and dispersion effects. The balance between these effects leads to a wave propagation that is soliton solution. It propagates without changing it?s shape. The purpose of this research is to obtain the...
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my-utm-ep.332302017-09-19T09:50:44Z Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons 2013 Sarif, Siti Zarifah QA Mathematics The Korteweg-de Vries (KdV) equation is a nonlinear partial differential equation has nonlinearity and dispersion effects. The balance between these effects leads to a wave propagation that is soliton solution. It propagates without changing it?s shape. The purpose of this research is to obtain the multi solitons solutions of KdV equation up to six-solitons solutions. The Hirota?s bilinear method will be implemented to find the explicit expression for up to six-solitons solutions of KdV equation. Identification of the phase shift that makes full interactions happens at ??=0 and ??=0 for each multi soliton solution of KdV equation. The Maple computer programming will be used to produce the various interactive graphical outputs for up to six-solitons solutions of KdV equation. 2013 Thesis http://eprints.utm.my/id/eprint/33230/ http://eprints.utm.my/id/eprint/33230/5/SitiZarifahSarifMFS2013.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:69890?site_name=Restricted Repository masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science |
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Universiti Teknologi Malaysia |
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UTM Institutional Repository |
| language |
English |
| topic |
QA Mathematics |
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QA Mathematics Sarif, Siti Zarifah Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons |
| description |
The Korteweg-de Vries (KdV) equation is a nonlinear partial differential equation has nonlinearity and dispersion effects. The balance between these effects leads to a wave propagation that is soliton solution. It propagates without changing it?s shape. The purpose of this research is to obtain the multi solitons solutions of KdV equation up to six-solitons solutions. The Hirota?s bilinear method will be implemented to find the explicit expression for up to six-solitons solutions of KdV equation. Identification of the phase shift that makes full interactions happens at ??=0 and ??=0 for each multi soliton solution of KdV equation. The Maple computer programming will be used to produce the various interactive graphical outputs for up to six-solitons solutions of KdV equation. |
| format |
Thesis |
| qualification_level |
Master's degree |
| author |
Sarif, Siti Zarifah |
| author_facet |
Sarif, Siti Zarifah |
| author_sort |
Sarif, Siti Zarifah |
| title |
Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons |
| title_short |
Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons |
| title_full |
Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons |
| title_fullStr |
Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons |
| title_full_unstemmed |
Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons |
| title_sort |
multi solitons solutions of korteweg de vries (kdv) equation : six solitons |
| granting_institution |
Universiti Teknologi Malaysia, Faculty of Science |
| granting_department |
Faculty of Science |
| publishDate |
2013 |
| url |
http://eprints.utm.my/id/eprint/33230/5/SitiZarifahSarifMFS2013.pdf |
| _version_ |
1747816110941536256 |