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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 97, Number 3, Pages 386–395 (Mi tmf1747)  
This article is cited in 7 scientific papers (total in 7 papers)

Dynamical systems that admit normal displacement

A. Yu. Boldin, R. A. Sharipov

Bashkir State University
Full-text PDF (828 kB) Citations (7)
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Abstract: The classical geometrical construction of Bianchi–Lie, Bäcklund, and Darboux transformations is considered and generalized for dynamical systems. For a transformation that generalizes normal displacement, a class of dynamical systems that admit this transformation is found. A differential equation that distinguishes dynamical systems in $\mathbb R^2$ that belong to this class is derived, and some solutions of it are considered.
Received: 26.03.1993
English version:
Theoretical and Mathematical Physics, 1993, Volume 97, Issue 3, Pages 1364–1369
DOI: https://doi.org/10.1007/BF01015766
Bibliographic databases:
Language: Russian
Citation: A. Yu. Boldin, R. A. Sharipov, “Dynamical systems that admit normal displacement”, TMF, 97:3 (1993), 386–395; Theoret. and Math. Phys., 97:3 (1993), 1364–1369
Citation in format AMSBIB
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\by A.~Yu.~Boldin, R.~A.~Sharipov
\paper Dynamical systems that admit normal displacement
\jour TMF
\yr 1993
\vol 97
\issue 3
\pages 386--395
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1257878}
\zmath{https://zbmath.org/?q=an:0819.58034}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 97
\issue 3
\pages 1364--1369
\crossref{https://doi.org/10.1007/BF01015766}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993NL72600006}
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  • https://www.mathnet.ru/eng/tmf/v97/i3/p386
    • This publication is cited in the following 7 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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    Abstract page:279
    Full-text PDF :102
    References:44
    First page:1
     
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