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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 71, Number 3, Pages 351–356 (Mi tmf4964)  
This article is cited in 74 scientific papers (total in 74 papers)

Nonlinear Schrödinger equation and the bogolyubov-whitham method of averaging

M. V. Pavlov
Full-text PDF (486 kB) Citations (74)
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Abstract: Averaging of the type [1] for nonlinear Schrödinger equation (NSE) using finitezone averaging tecnique [2, 3] is investigated. In the one-zone case the results obtained are presented in the explicit form. Some characteristics of the original equation are averaged which are of use in applied calculations. Finally, recurrent and functional formulas are given which connect the densities of the motion integrals of NSE, fluxes and variational derivatives.
Received: 29.04.1986
English version:
Theoretical and Mathematical Physics, 1987, Volume 71, Issue 3, Pages 584–588
DOI: https://doi.org/10.1007/BF01017090
Bibliographic databases:
Language: Russian
Citation: M. V. Pavlov, “Nonlinear Schrödinger equation and the bogolyubov-whitham method of averaging”, TMF, 71:3 (1987), 351–356; Theoret. and Math. Phys., 71:3 (1987), 584–588
Citation in format AMSBIB
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\by M.~V.~Pavlov
\paper Nonlinear Schr\"odinger equation and the bogolyubov-whitham method of averaging
\jour TMF
\yr 1987
\vol 71
\issue 3
\pages 351--356
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\zmath{https://zbmath.org/?q=an:0639.35013}
\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 71
\issue 3
\pages 584--588
\crossref{https://doi.org/10.1007/BF01017090}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987L575800005}
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    • This publication is cited in the following 74 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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    References:72
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