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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 78, Number 1, Pages 22–34 (Mi tmf4713)  
This article is cited in 4 scientific papers (total in 4 papers)

System of three-wave resonant interaction and $P$-type equations

V. I. Gromak, V. V. Tsegel'nik
Full-text PDF (1155 kB) Citations (4)
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Abstract: Conditions of the existence of rational and one-parametrical families of solutions are obtained for the sixth Painleve equation. New integrability conditions in terms of the elliptic functions or superpositions of the elliptic and hypergeometrical functions and their derivatives are pointed out. With the help of these results exact classes of automodel solutions are constructed for a system of three-wave resonant interaction.
Received: 25.06.1987
English version:
Theoretical and Mathematical Physics, 1989, Volume 78, Issue 1, Pages 14–23
DOI: https://doi.org/10.1007/BF01016912
Bibliographic databases:
Language: Russian
Citation: V. I. Gromak, V. V. Tsegel'nik, “System of three-wave resonant interaction and $P$-type equations”, TMF, 78:1 (1989), 22–34; Theoret. and Math. Phys., 78:1 (1989), 14–23
Citation in format AMSBIB
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\by V.~I.~Gromak, V.~V.~Tsegel'nik
\paper System of~three-wave resonant interaction and $P$-type equations
\jour TMF
\yr 1989
\vol 78
\issue 1
\pages 22--34
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=987409}
\zmath{https://zbmath.org/?q=an:0691.35082}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 78
\issue 1
\pages 14--23
\crossref{https://doi.org/10.1007/BF01016912}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989AL44300003}
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  • https://www.mathnet.ru/eng/tmf/v78/i1/p22
    • 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
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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