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Ufa Mathematical Journal, 2017, Volume 9, Issue 3, Pages 131–136
DOI: https://doi.org/10.13108/2017-9-3-131 (Mi ufa394) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On applications of Faà-di-Bruno formula

A. B. Shabatabc, M. Kh. Efendievb

a Institute of Mathematics, Ufa Scientific Center, RAS, Chernyshevsky str. 112, 450077, Ufa, Russia
b Karachay-Circassian State University named after U.D. Aliev, Lenin str. 23, 369200, Karachaevsk, Russia
c L.D. Landau Institute for Theoretical Physics, RAS, Academician Semenov av. 1-A, 142432, Chernogolovka, Russia
English version PDF (335 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.13108/2017-9-3-131
Abstract: In the work we construct two modifications of the classical Faà-di-Bruno formula. We consider the applications of these formulae in the integrability theory for nonlinear partial differential equations. We discuss the problem on integration by parts in the Gelfand–Olver–Sanders formal variational calculus.
Keywords: Faà-di-Bruno formula, differential polynomials, integrability conditions.
Received: 08.04.2017
Bibliographic databases:
Document Type: Article
UDC: 512.5
MSC: 37K10
Language: English
Original paper language: Russian
Citation: A. B. Shabat, M. Kh. Efendiev, “On applications of Faà-di-Bruno formula”, Ufa Math. J., 9:3 (2017), 131–136
Citation in format AMSBIB
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\by A.~B.~Shabat, M.~Kh.~Efendiev
\paper On applications of Fa\`a-di-Bruno formula
\jour Ufa Math. J.
\yr 2017
\vol 9
\issue 3
\pages 131--136
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  • https://doi.org/10.13108/2017-9-3-131
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:412
    Russian version PDF:173
    English version PDF:14
    References:56
     
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