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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 4, Pages 83–94 (Mi vmj440)  
This article is cited in 5 scientific papers (total in 5 papers)

Symmetrical polynomials and conservation laws

A. B. Shabatab

a Landau Institute for Theoretical Physics, Russian Academy of Sciences, Russia, Chernogolovka
b Karachay-Cherkess State University, Russia, Karachaevsk
Full-text PDF (173 kB) Citations (5)
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Abstract: Vector fields with symmetrical polynomials as the first integrals are considered. The connection of these dynamical systems with the theory of multi-phase solutions of the solitonic models of mathematical physics is established.
Key words: Liouville therem, symmetric polynomials, Riemann invariants, solitonic equations.
Received: 30.11.2012
Document Type: Article
UDC: 517.928
Language: Russian
Citation: A. B. Shabat, “Symmetrical polynomials and conservation laws”, Vladikavkaz. Mat. Zh., 14:4 (2012), 83–94
Citation in format AMSBIB
\Bibitem{Sha12}
\by A.~B.~Shabat
\paper Symmetrical polynomials and conservation laws
\jour Vladikavkaz. Mat. Zh.
\yr 2012
\vol 14
\issue 4
\pages 83--94
\mathnet{http://mi.mathnet.ru/vmj440}
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  • https://www.mathnet.ru/eng/vmj/v14/i4/p83
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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