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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 67, Number 3, Pages 410–425 (Mi tmf5087)  
This article is cited in 10 scientific papers (total in 10 papers)

Complete integrability of the nonlinear ito and Benney–Kaup systems: Gradient algorithm and lax representation

N. N. Bogolyubov (Jr.), A. K. Prikarpatskii
Full-text PDF (1469 kB) Citations (10)
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Abstract: A new gradient-holonomic approach to the construction of integrability criteria for nonlinear dynamical systems is described for the example of the nonlinear hydrodynamic equations in the mechanics of Ito and of Benney and Kaup.
Received: 17.10.1985
English version:
Theoretical and Mathematical Physics, 1986, Volume 67, Issue 3, Pages 586–596
DOI: https://doi.org/10.1007/BF01028694
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, “Complete integrability of the nonlinear ito and Benney–Kaup systems: Gradient algorithm and lax representation”, TMF, 67:3 (1986), 410–425; Theoret. and Math. Phys., 67:3 (1986), 586–596
Citation in format AMSBIB
\Bibitem{BogPri86}
\by N.~N.~Bogolyubov (Jr.), A.~K.~Prikarpatskii
\paper Complete integrability of the nonlinear ito and Benney--Kaup systems: Gradient algorithm and lax representation
\jour TMF
\yr 1986
\vol 67
\issue 3
\pages 410--425
\mathnet{http://mi.mathnet.ru/tmf5087}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=858812}
\zmath{https://zbmath.org/?q=an:0623.35061}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 67
\issue 3
\pages 586--596
\crossref{https://doi.org/10.1007/BF01028694}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986F672900007}
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  • https://www.mathnet.ru/eng/tmf/v67/i3/p410
    • This publication is cited in the following 10 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:531
    Full-text PDF :169
    References:82
    First page:2
     
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