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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 17–33 (Mi znsl6652)  
This article is cited in 1 scientific paper (total in 1 paper)

Necessary conditions of point equivalence of second-order ODEs to the sixth Painlevé equation

Yu. Yu. Bagderina

Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa, Russia
Full-text PDF (215 kB) Citations (1)
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Abstract: Equivalence problem for a projective type scalar second-order ordinary differential equations is considered with respect to invertible point changes of variables. Invariants of the equivalence transformation group of this family of equations are used to find the necessary conditions of the equivalence to the sixth Painlevé equation.
Key words and phrases: Painlevé equation, equivalence, invariant.
Received: 01.11.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 242, Issue 5, Pages 595–607
DOI: https://doi.org/10.1007/s10958-019-04499-0
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yu. Yu. Bagderina, “Necessary conditions of point equivalence of second-order ODEs to the sixth Painlevé equation”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 17–33; J. Math. Sci. (N. Y.), 242:5 (2019), 595–607
Citation in format AMSBIB
\Bibitem{Bag18}
\by Yu.~Yu.~Bagderina
\paper Necessary conditions of point equivalence of second-order ODEs to the sixth Painlev\'e equation
\inbook Questions of quantum field theory and statistical physics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 473
\pages 17--33
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6652}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 5
\pages 595--607
\crossref{https://doi.org/10.1007/s10958-019-04499-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074191948}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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