Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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, p. 311-328Article 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, p. 311-328
Keywords [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, id: diva2:836767
Available from: 2012-09-18 Created: 2007-08-21 Last updated: 2017-12-04Bibliographically approved

Open Access in DiVA

No full text in DiVA

In the same journal
Journal of Mathematical Analysis and Applications
Mathematical AnalysisMathematics

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 174 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf