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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 77, Issue 2, Pages 303–311
DOI: https://doi.org/10.1070/SM1994v077n02ABEH003442 (Mi sm1088) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Infinite-parameter families of solutions of nonlinear differential equations

S. V. Khabirov
English version PDF (463 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM1994v077n02ABEH003442
Abstract: A Bäcklund transformation of a nonlinear equation and additional invariance of it under a contact transformation permit the construction of a family of solutions depending on an arbitrary number of parameters. Boundary value problems are solved by choosing the parameters and the initial solution.
Received: 10.10.1991
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 11, Pages 45–54
Bibliographic databases:
UDC: 517.958
MSC: Primary 58G37; Secondary 35C05, 35K40, 35A30
Language: English
Original paper language: Russian
Citation: S. V. Khabirov, “Infinite-parameter families of solutions of nonlinear differential equations”, Mat. Sb., 183:11 (1992), 45–54; Russian Acad. Sci. Sb. Math., 77:2 (1994), 303–311
Citation in format AMSBIB
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\by S.~V.~Khabirov
\paper Infinite-parameter families of solutions of nonlinear differential equations
\jour Mat. Sb.
\yr 1992
\vol 183
\issue 11
\pages 45--54
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994SbMat..77..303K}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 77
\issue 2
\pages 303--311
\crossref{https://doi.org/10.1070/SM1994v077n02ABEH003442}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994NF83500004}
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  • https://doi.org/10.1070/SM1994v077n02ABEH003442
  • https://www.mathnet.ru/eng/sm/v183/i11/p45
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:312
    Russian version PDF:118
    English version PDF:7
    References:39
    First page:1
     
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