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Equivalence groups and invariants of linear and non-linear equations
Responsible organisation
2004 (English)In: Archives of ALGA, ISSN 1652-4934, Vol. 1, 9-69 p.Article in journal (Refereed) PublishedAlternative title
Equivalence groups and invariants of linear and non-linear equations (Swedish)
Abstract [en]

Recently I developed a systematic method for determining invariants of families of equations. The method is based on the infinitesimal approach and is applicable to algebraic and differential equations possessing finite or infinite equivalence groups. Moreover, it does not depend on the assumption of linearity of equations. The method was applied to variety of ordinary and partial differential equations. The present paper is aimed at discussing the main principles of the method and its applications with emphasis on the use of infinite Lie groups.

Place, publisher, year, edition, pages
Karlskrona; Sweden: ALGA publications, BTH , 2004. Vol. 1, 9-69 p.
Keyword [en]
Equivalence groups, invariants, non-linear equations, infinite Lie groups.
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-8846Local ID: oai:bth.se:forskinfoF4DF3D1E0FF1CB95C12573BE00642D6AOAI: oai:DiVA.org:bth-8846DiVA: diva2:836601
Available from: 2012-09-18 Created: 2007-12-27 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
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More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
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