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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 181, Pages 65–92 (Mi znsl4728)  

This article is cited in 1 scientific paper (total in 1 paper)

The isomonodromic deformations and similarity solutions of the Einstein–Maxwell equations

A. V. Kitaev
Abstract: It is shown that self-similar solutions of the Einstein-Maxwell equations in the axially symmetric case describe isomonodromic deformations of ordinary differential equations with rational coefficients. New types of these solutions that expressed in terms of fifth Painleve trancedent are found.
English version:
Journal of Soviet Mathematics, 1992, Volume 62, Issue 2, Pages 2646–2663
DOI: https://doi.org/10.1007/BF01102636
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. V. Kitaev, “The isomonodromic deformations and similarity solutions of the Einstein–Maxwell equations”, Differential geometry, Lie groups and mechanics. Part 11, Zap. Nauchn. Sem. LOMI, 181, "Nauka", Leningrad. Otdel., Leningrad, 1990, 65–92; J. Soviet Math., 62:2 (1992), 2646–2663
Citation in format AMSBIB
\Bibitem{Kit90}
\by A.~V.~Kitaev
\paper The isomonodromic deformations and similarity solutions of the Einstein--Maxwell equations
\inbook Differential geometry, Lie groups and mechanics. Part~11
\serial Zap. Nauchn. Sem. LOMI
\yr 1990
\vol 181
\pages 65--92
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4728}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1097580}
\zmath{https://zbmath.org/?q=an:0784.35116|0727.35133}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 62
\issue 2
\pages 2646--2663
\crossref{https://doi.org/10.1007/BF01102636}
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  • https://www.mathnet.ru/eng/znsl/v181/p65
  • 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
    Записки научных семинаров ПОМИ
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