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A new conservation theorem
Responsible organisation
2007 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 333, no 1, 311-328 p.Article in journal (Refereed) Published
Abstract [en]

A general theorem on conservation laws for arbitrary differential equations is proved. The theorem is valid also for any system of differential equations where the number of equations is equal to the number of dependent variables. The new theorem does not require existence of a Lagrangian and is based on a concept of an adjoint equation for non-linear equations suggested recently by the author. It is proved that the adjoint equation inherits all symmetries of the original equation. Accordingly, one can associate a conservation law with any group of Lie, Lie-Backlund or non-local symmetries and find conservation laws for differential equations without classical Lagrangians.

Place, publisher, year, edition, pages
Academic Press , 2007. Vol. 333, no 1, 311-328 p.
Keyword [en]
conservation laws
National Category
Mathematical Analysis Mathematics
Identifiers
URN: urn:nbn:se:bth-8991ISI: 000247325900022Local ID: oai:bth.se:forskinfo9969A2C930071627C125733E0049DDB9OAI: oai:DiVA.org:bth-8991DiVA: diva2:836767
Available from: 2012-09-18 Created: 2007-08-21 Last updated: 2015-06-30Bibliographically approved

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CiteExportLink to record
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