Painlev analysis and integrability of systems of nonlinear partial differential equations
The method of Painleve analysis is introduced and used to explore the integrability of certain physically significant nonlinear partial differential equations (nPDEs). These nPDEs include the Burgers’ equation, Korteweg-de Vries equation (KdV) and nonlinear Klein-Gordon equation. Furthermore, it is...
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| フォーマット: | 学位論文 |
| 言語: | English |
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2009
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| オンライン･アクセス: | http://eprints.utm.my/id/eprint/18277/1/FarahSurayaNasrudinMFSA2010.pdf http://eprints.utm.my/id/eprint/18277/ |
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my.utm.182772018-06-25T09:00:10Z http://eprints.utm.my/id/eprint/18277/ Painlev analysis and integrability of systems of nonlinear partial differential equations Md. Nasrudin, Farah Suraya QA Mathematics The method of Painleve analysis is introduced and used to explore the integrability of certain physically significant nonlinear partial differential equations (nPDEs). These nPDEs include the Burgers’ equation, Korteweg-de Vries equation (KdV) and nonlinear Klein-Gordon equation. Furthermore, it is shown primarily that this Painleve test is intended to determine necessary conditions for such class of nPDEs to have the Painleve property. However, the nonlinear Klein-Gordon equation is shown instead to be integrable with respect to the Weak Painlevé test. 2009 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/18277/1/FarahSurayaNasrudinMFSA2010.pdf Md. Nasrudin, Farah Suraya (2009) Painlev analysis and integrability of systems of nonlinear partial differential equations. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. |
| institution |
Universiti Teknologi Malaysia |
| building |
UTM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Teknologi Malaysia |
| content_source |
UTM Institutional Repository |
| url_provider |
http://eprints.utm.my/ |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Md. Nasrudin, Farah Suraya Painlev analysis and integrability of systems of nonlinear partial differential equations |
| description |
The method of Painleve analysis is introduced and used to explore the integrability of certain physically significant nonlinear partial differential equations (nPDEs). These nPDEs include the Burgers’ equation, Korteweg-de Vries equation (KdV) and nonlinear Klein-Gordon equation. Furthermore, it is shown primarily that this Painleve test is intended to determine necessary conditions for such class of nPDEs to have the Painleve property. However, the nonlinear Klein-Gordon equation is shown instead to be integrable with respect to the Weak Painlevé test. |
| format |
Thesis |
| author |
Md. Nasrudin, Farah Suraya |
| author_facet |
Md. Nasrudin, Farah Suraya |
| author_sort |
Md. Nasrudin, Farah Suraya |
| title |
Painlev analysis and integrability of systems of nonlinear partial differential equations |
| title_short |
Painlev analysis and integrability of systems of nonlinear partial differential equations |
| title_full |
Painlev analysis and integrability of systems of nonlinear partial differential equations |
| title_fullStr |
Painlev analysis and integrability of systems of nonlinear partial differential equations |
| title_full_unstemmed |
Painlev analysis and integrability of systems of nonlinear partial differential equations |
| title_sort |
painlev analysis and integrability of systems of nonlinear partial differential equations |
| publishDate |
2009 |
| url |
http://eprints.utm.my/id/eprint/18277/1/FarahSurayaNasrudinMFSA2010.pdf http://eprints.utm.my/id/eprint/18277/ |
| _version_ |
1643646851521445888 |
| score |
13.250246 |