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Introduction to group analysis of differential equations
Responsible organisation
2010 (English)In: Lecture Notes in Physics, ISSN 0075-8450, Vol. 806, 1-55 p.Article in journal (Refereed) Published
Abstract [en]

The first chapter is a brief, but a sufficiently comprehensive introduction to the methods of Lie group analysis of ordinary and partial differential equations. The chapter presents basic concepts from the theory: continuous transformation groups, their generators, Lie equations, groups admitted by differential equations, integration of ordinary differential equations using their symmetries, group classification and invariant solutions of partial differential equations. New trends in modern group analysis such as the theory of Lie-Bäcklund transformations groups and approximate groups are also reflected. The intention of the chapter is to give the basic ideas of classical and modern group analysis to beginner readers and provide useful materials for advanced specialists

Place, publisher, year, edition, pages
Springer , 2010. Vol. 806, 1-55 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:bth-7603DOI: 10.1007/978-90-481-3797-8_1Local ID: oai:bth.se:forskinfo99A68A037A94BFF5C12578110049A0F8OAI: oai:DiVA.org:bth-7603DiVA: diva2:835246
Available from: 2012-09-18 Created: 2011-01-07 Last updated: 2015-06-30Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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