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Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. 2009 (English)Licentiate thesis, comprehensive summary (Other academic)

Abstract [en] : 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.

Place, publisher, year, edition, pages: Luleå: Luleå tekniska universitet, 2009. , 83 p.

Series : Licentiate thesis / Luleå University of Technology, ISSN 1402-1757

Research subject: Mathematics

Identifiers: URN: urn:nbn:se:ltu:diva-26553Local ID: ed224690-e2d9-11dd-981b-000ea68e967bISBN: 978-91-86233-08-2 (print)OAI: oai:DiVA.org:ltu-26553DiVA: diva2:999717

Note: 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 universitetAvailable from: 2016-09-30 Created: 2016-09-30Bibliographically approved

Author: Lundberg, Staffan

Source: http://ltu.diva-portal.org/

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