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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 317, Pages 105–121 (Mi znsl717)  
This article is cited in 4 scientific papers (total in 4 papers)

Quadratic transformations for the third and fifth Painlevé equations

A. V. Kitaev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (223 kB) Citations (4)
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Abstract: Quadratic transformations for the third and fifth Painlevé equations are constructed via the method of $RS$-transformations. This method can be viewed as a prolongation of the quadratic transformations for the Painlevé equations to the associated linear ODEs, whose isomonodromy deformations are governed by the corresponding Painlevé equations.
Received: 26.06.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 1, Pages 3586–3595
DOI: https://doi.org/10.1007/s10958-006-0184-9
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. V. Kitaev, “Quadratic transformations for the third and fifth Painlevé equations”, Questions of quantum field theory and statistical physics. Part 18, Zap. Nauchn. Sem. POMI, 317, POMI, St. Petersburg, 2004, 105–121; J. Math. Sci. (N. Y.), 136:1 (2006), 3586–3595
Citation in format AMSBIB
\Bibitem{Kit04}
\by A.~V.~Kitaev
\paper Quadratic transformations for the third and fifth Painlev\'e equations
\inbook Questions of quantum field theory and statistical physics. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 317
\pages 105--121
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl717}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120830}
\zmath{https://zbmath.org/?q=an:1083.34065}
\elib{https://elibrary.ru/item.asp?id=9129823}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 1
\pages 3586--3595
\crossref{https://doi.org/10.1007/s10958-006-0184-9}
\elib{https://elibrary.ru/item.asp?id=13519008}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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