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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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Main Author: Md. Nasrudin, Farah Suraya
Format: Thesis
Language:English
Published: 2009
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/18277/1/FarahSurayaNasrudinMFSA2010.pdf
http://eprints.utm.my/id/eprint/18277/
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spelling 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 13.211869

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