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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 48, Number 1, Pages 3–12 (Mi tmf4466)  
This article is cited in 25 scientific papers (total in 25 papers)

Theory of group representations and integration of nonlinear dynamical systems

A. N. Leznov, M. V. Saveliev, V. G. Smirnov
Full-text PDF (1102 kB) Citations (25)
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Abstract: For nonlinear two-dimensional dynamical systems associated with graded Lie algebras a method is developed for constructing general solutions. The construction is based on the realization of a Lax type representation by operators which take values in the corresponding algebra and uses the theory of representations of algebras.
Received: 11.04.1980
English version:
Theoretical and Mathematical Physics, 1981, Volume 48, Issue 1, Pages 565–571
DOI: https://doi.org/10.1007/BF01037979
Bibliographic databases:
Language: Russian
Citation: A. N. Leznov, M. V. Saveliev, V. G. Smirnov, “Theory of group representations and integration of nonlinear dynamical systems”, TMF, 48:1 (1981), 3–12; Theoret. and Math. Phys., 48:1 (1981), 565–571
Citation in format AMSBIB
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\by A.~N.~Leznov, M.~V.~Saveliev, V.~G.~Smirnov
\paper Theory of group representations and integration of nonlinear dynamical systems
\jour TMF
\yr 1981
\vol 48
\issue 1
\pages 3--12
\mathnet{http://mi.mathnet.ru/tmf4466}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=630265}
\zmath{https://zbmath.org/?q=an:0494.58019}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 48
\issue 1
\pages 565--571
\crossref{https://doi.org/10.1007/BF01037979}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981ND61200001}
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    • This publication is cited in the following 25 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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    Full-text PDF :173
    References:66
    First page:3
     
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