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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)
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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
Russian version:
Ufimskii Matematicheskii Zhurnal, 2017, Volume 9, Issue 3, Pages 132–137
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”, Ufimsk. Mat. Zh., 9:3 (2017), 132–137; Ufa Math. J., 9:3 (2017), 131–136
Citation in format AMSBIB
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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
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:390
    Russian version PDF:170
    English version PDF:10
    References:50
     
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