On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations
The aim of this Licentiate Thesis is to discuss special transformations and so-called adjoint symmetries of nonlinear partial differential equations. Nonlinear partial differential equations play an important role in the description of many physical phenomena. In order to understand the phenomena, m...
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Luleå tekniska universitet, Matematiska vetenskaper
2009
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ftluleatu:oai:DiVA.org:ltu-26553 2023-05-15T17:09:04+02:00 On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations Lundberg, Staffan 2009 application/pdf http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-26553 eng eng Luleå tekniska universitet, Matematiska vetenskaper Luleå Licentiate thesis / Luleå University of Technology, 1402-1757 http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-26553 urn:isbn:978-91-86233-08-2 Local ed224690-e2d9-11dd-981b-000ea68e967b info:eu-repo/semantics/openAccess Mathematical Analysis Matematisk analys Licentiate thesis, comprehensive summary info:eu-repo/semantics/masterThesis text 2009 ftluleatu 2022-10-25T20:53:50Z The aim of this Licentiate Thesis is to discuss special transformations and so-called adjoint symmetries of nonlinear partial differential equations. Nonlinear partial differential equations play an important role in the description of many physical phenomena. In order to understand the phenomena, modelled by the equations mentioned above, it is therefore necessary to obtain and analyze the solutions and the conservation laws of these equations. In this Thesis we investigate some methods to obtain conservation laws and transformations between nonlinear partial differential equations and moreover to classify nonlinear partial differential equations with respect to those methods.The main emphasis is on adjoint symmetries and transformations of evolution equations. In particular we study the adjoint symmetries and the construction of reciprocal Bäcklund transformations for evolution equations. Godkänd; 2009; 20090115 (lund); Licentiatseminarium för avläggande av teknologie licentiatexamen. Examinator: Docent Marianna Euler, Luleå tekniska universitet Tid: Fredag den 20 mars 2009 kl 10.15 Plats: D2222, Luleå tekniska universitet Master Thesis Luleå Luleå Luleå University of Technology Publications (DiVA) |
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Luleå University of Technology Publications (DiVA) |
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ftluleatu |
language |
English |
topic |
Mathematical Analysis Matematisk analys |
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Mathematical Analysis Matematisk analys Lundberg, Staffan On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations |
topic_facet |
Mathematical Analysis Matematisk analys |
description |
The aim of this Licentiate Thesis is to discuss special transformations and so-called adjoint symmetries of nonlinear partial differential equations. Nonlinear partial differential equations play an important role in the description of many physical phenomena. In order to understand the phenomena, modelled by the equations mentioned above, it is therefore necessary to obtain and analyze the solutions and the conservation laws of these equations. In this Thesis we investigate some methods to obtain conservation laws and transformations between nonlinear partial differential equations and moreover to classify nonlinear partial differential equations with respect to those methods.The main emphasis is on adjoint symmetries and transformations of evolution equations. In particular we study the adjoint symmetries and the construction of reciprocal Bäcklund transformations for evolution equations. Godkänd; 2009; 20090115 (lund); Licentiatseminarium för avläggande av teknologie licentiatexamen. Examinator: Docent Marianna Euler, Luleå tekniska universitet Tid: Fredag den 20 mars 2009 kl 10.15 Plats: D2222, Luleå tekniska universitet |
format |
Master Thesis |
author |
Lundberg, Staffan |
author_facet |
Lundberg, Staffan |
author_sort |
Lundberg, Staffan |
title |
On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations |
title_short |
On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations |
title_full |
On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations |
title_fullStr |
On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations |
title_full_unstemmed |
On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations |
title_sort |
on adjoint symmetries and reciprocal bäcklund transformations of evolution equations |
publisher |
Luleå tekniska universitet, Matematiska vetenskaper |
publishDate |
2009 |
url |
http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-26553 |
genre |
Luleå Luleå |
genre_facet |
Luleå Luleå |
op_relation |
Licentiate thesis / Luleå University of Technology, 1402-1757 http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-26553 urn:isbn:978-91-86233-08-2 Local ed224690-e2d9-11dd-981b-000ea68e967b |
op_rights |
info:eu-repo/semantics/openAccess |
_version_ |
1766064999743094784 |