Abstract:
The concept of Bäklund transformations of the Painlevé.
equations are defined, and these transformations are found. They
are used to construct rational solutions of the Korteweg–de Vries
equation.
Citation:
V. A. Andreev, “Bäcklund transformations of the Painlevé equations and rational solutions of the Korteweg–de Vries equation”, TMF, 61:1 (1984), 29–34; Theoret. and Math. Phys., 61:1 (1984), 973–976
\Bibitem{And84}
\by V.~A.~Andreev
\paper B\"{a}cklund transformations of the Painlev\'{e} equations and rational solutions of the Korteweg--de Vries equation
\jour TMF
\yr 1984
\vol 61
\issue 1
\pages 29--34
\mathnet{http://mi.mathnet.ru/tmf5593}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=774204}
\zmath{https://zbmath.org/?q=an:0563.35068}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 61
\issue 1
\pages 973--976
\crossref{https://doi.org/10.1007/BF01038544}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984AGK6100003}
Linking options:
https://www.mathnet.ru/eng/tmf5593
https://www.mathnet.ru/eng/tmf/v61/i1/p29
This publication is cited in the following 2 articles:
V. A. Andreev, “Bäcklund transformations of the Bullough–Dodd–Zhiber–Shabat equation and symmetries of integrable equations”, Theoret. and Math. Phys., 79:1 (1989), 448–450
V. A. Andreev, “Bäcklund transformations of Toda chains”, Theoret. and Math. Phys., 75:3 (1988), 567–575
Citation in format AMSBIB
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