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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 102, Number 3, Pages 352–363 (Mi tmf1272)  

This article is cited in 1 scientific paper (total in 1 paper)

Riccati scheme for integrating nonlinear systems of differential equations

A. Ya. Kazakov

Saint-Petersburg State University
References:
Abstract: A modification of the Riccati system that makes it possible to reduce to linear problems the initial-value problem for systems of ordinary differential equations with bilinear nonlinearity is discussed. It is shown that from the algebraic point of view it is natural, in the framework of the scheme, to consider functions that take values in an algebra with two multiplications related by a condition of the type of associativity.
Received: 09.04.1994
English version:
Theoretical and Mathematical Physics, 1995, Volume 102, Issue 3, Pages 257–264
DOI: https://doi.org/10.1007/BF01017876
Bibliographic databases:
Language: Russian
Citation: A. Ya. Kazakov, “Riccati scheme for integrating nonlinear systems of differential equations”, TMF, 102:3 (1995), 352–363; Theoret. and Math. Phys., 102:3 (1995), 257–264
Citation in format AMSBIB
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\by A.~Ya.~Kazakov
\paper Riccati scheme for integrating nonlinear systems of differential equations
\jour TMF
\yr 1995
\vol 102
\issue 3
\pages 352--363
\mathnet{http://mi.mathnet.ru/tmf1272}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348847}
\zmath{https://zbmath.org/?q=an:0871.34002}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 102
\issue 3
\pages 257--264
\crossref{https://doi.org/10.1007/BF01017876}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ02000004}
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  • https://www.mathnet.ru/eng/tmf/v102/i3/p352
  • This publication is cited in the following 1 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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