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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 69, Number 3, Pages 411–419 (Mi tmf5240)  
This article is cited in 3 scientific papers (total in 3 papers)

Multidimensional nonlinear systems

M. V. Saveliev
Full-text PDF (1003 kB) Citations (3)
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Abstract: The problem of the construction and of the integrability of systems of nonlinear partial differential equations in a multidimensional space is discussed. A proposed algebraic-geometric construction is illustrated for the example of completely integrable equations of the Bourlet type and their generalizations, for which, in particular, Bäcklund transformations are obtained.
Received: 04.06.1985
English version:
Theoretical and Mathematical Physics, 1986, Volume 69, Issue 3, Pages 1234–1240
DOI: https://doi.org/10.1007/BF01017622
Bibliographic databases:
Language: Russian
Citation: M. V. Saveliev, “Multidimensional nonlinear systems”, TMF, 69:3 (1986), 411–419; Theoret. and Math. Phys., 69:3 (1986), 1234–1240
Citation in format AMSBIB
\Bibitem{Sav86}
\by M.~V.~Saveliev
\paper Multidimensional nonlinear systems
\jour TMF
\yr 1986
\vol 69
\issue 3
\pages 411--419
\mathnet{http://mi.mathnet.ru/tmf5240}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=885214}
\zmath{https://zbmath.org/?q=an:0639.35069}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 69
\issue 3
\pages 1234--1240
\crossref{https://doi.org/10.1007/BF01017622}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986J423400008}
Linking options:
  • https://www.mathnet.ru/eng/tmf5240
  • https://www.mathnet.ru/eng/tmf/v69/i3/p411
    • This publication is cited in the following 3 articles:
    1. Mikhail V. Saveliev, Alexander V. Razumov, “Some explicit solutions of the Lamé and Bourlet type equations”, Bulletin des Sciences Mathématiques, 123:1 (1999), 59  crossref
    2. E. I. Ganzha, “Bäcklund transformations of (2+1)-dimensional integrable systems”, Comput Math Model, 9:1 (1998), 38  crossref
    3. A. V. Razumov, M. V. Saveliev, “Multidimensional Toda type systems”, Theoret. and Math. Phys., 112:2 (1997), 999–1022  mathnet  crossref  crossref  mathscinet  zmath  isi
    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:423
    Full-text PDF :143
    References:73
    First page:1
     
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