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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 55, Number 2, Pages 189–196 (Mi tmf2159)  
This article is cited in 6 scientific papers (total in 6 papers)

Nonlinear two-dimensional field theory models and Painlevé equations

V. I. Gromak, V. V. Tsegel'nik
Full-text PDF (416 kB) Citations (6)
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Abstract: The connection is established between similar solutions of a nonlinear second-order partial differential equation associated with nonlinear field theory models and the solutions of the third and fifth Painlevé equations. Bäcklund transformations are given and special classes of solutions are constructed.
Received: 10.06.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 55, Issue 2, Pages 440–445
DOI: https://doi.org/10.1007/BF01015802
Bibliographic databases:
Language: Russian
Citation: V. I. Gromak, V. V. Tsegel'nik, “Nonlinear two-dimensional field theory models and Painlevé equations”, TMF, 55:2 (1983), 189–196; Theoret. and Math. Phys., 55:2 (1983), 440–445
Citation in format AMSBIB
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\by V.~I.~Gromak, V.~V.~Tsegel'nik
\paper Nonlinear two-dimensional field theory models and Painlev\'e equations
\jour TMF
\yr 1983
\vol 55
\issue 2
\pages 189--196
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\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 55
\issue 2
\pages 440--445
\crossref{https://doi.org/10.1007/BF01015802}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RV06700003}
Linking options:
  • https://www.mathnet.ru/eng/tmf2159
  • https://www.mathnet.ru/eng/tmf/v55/i2/p189
    • This publication is cited in the following 6 articles:
    1. A. S. Fokas, A. R. Its, Springer Series in Nonlinear Dynamics, Important Developments in Soliton Theory, 1993, 99  crossref
    2. A. S. Fokas, Xin Zhou, “On the solvability of Painlevé II and IV”, Commun.Math. Phys., 144:3 (1992), 601  crossref
    3. V. I. Gromak, V. V. Tsegel'nik, “System of three-wave resonant interaction and P-type equations”, Theoret. and Math. Phys., 78:1 (1989), 14–23  mathnet  crossref  mathscinet  zmath  isi
    4. A.S. Fokas, U. Mugan, M.J. Ablowitz, “A method of linearization for Painlevé equations: Painlevé IV, V”, Physica D: Nonlinear Phenomena, 30:3 (1988), 247  crossref
    5. A. R. Its, A. A. Kapaev, “The method of isomonodromy deformations and connection formulas for the second Painlevé transcendent”, Math. USSR-Izv., 31:1 (1988), 193–207  mathnet  crossref  mathscinet  zmath
    6. A. V. Kitaev, “The method of isomonodromy deformations and the asymptotics of solutions of the “complete” third Painlevé equation”, Math. USSR-Sb., 62:2 (1989), 421–444  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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