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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 52, Number 2, Pages 244–251 (Mi tmf2523)  
This article is cited in 18 scientific papers (total in 18 papers)

Group structure and the basis of conservation laws

R. S. Khamitova
Full-text PDF (739 kB) Citations (18)
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Abstract: The derivation of conservation laws for invariant variational problems is based on Noether's identity. It is shown that this identity also makes it possible to establish a connection between a basis of conservation laws (with respect to the group $G$ admitted by the considered system of differential equations) and the structure of the Lie algebra of $G$. This provides a justifieation for the basis construction scheme proposed by Ibragimov.
Received: 02.12.1980
English version:
Theoretical and Mathematical Physics, 1982, Volume 52, Issue 2, Pages 777–781
DOI: https://doi.org/10.1007/BF01018418
Bibliographic databases:
Language: Russian
Citation: R. S. Khamitova, “Group structure and the basis of conservation laws”, TMF, 52:2 (1982), 244–251; Theoret. and Math. Phys., 52:2 (1982), 777–781
Citation in format AMSBIB
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\by R.~S.~Khamitova
\paper Group structure and the basis of conservation laws
\jour TMF
\yr 1982
\vol 52
\issue 2
\pages 244--251
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\zmath{https://zbmath.org/?q=an:0492.35049}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 52
\issue 2
\pages 777--781
\crossref{https://doi.org/10.1007/BF01018418}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982QF16500009}
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  • https://www.mathnet.ru/eng/tmf/v52/i2/p244
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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