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Symmetries and recursion operators of nonlinear differential equations
2006 (English)Independent thesis Advanced level (degree of Master (One Year)), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This work discusses the generation of an infinite number of Lie-Bäcklund symmetries for nonlinear autonomous evolution equations using recursion operators. A partial classification of nonlinear second order evolution equations is undertaken, with a full classification for the semilinear and quasilinear cases. An interesting result for the fully nonlinear case is obtained. A brief introduction to the concept of symmetries and transformation groups applied to differential equations is also given.

Place, publisher, year, edition, pages
Keyword [en]
Physics Chemistry Maths, Mathematics, Lie groups, Nonlinear mathematical analysis, differential equations.
Keyword [sv]
Fysik, Kemi, Matematik
URN: urn:nbn:se:ltu:diva-55646ISRN: LTU-C/DUPP--06/03--SELocal ID: c7cba756-6c9f-41c1-81e7-f95c3ce2601cOAI: diva2:1029030
Subject / course
Student thesis, at least 15 credits
Educational program
Mathematics, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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ReferencesLink to record
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