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 Izv. Akad. Nauk SSSR Ser. Mat., 1991, Volume 55, Issue 6, Pages 1300–1311 (Mi izv974)

Some properties of the complexification of the KdV equation

T. V. Red'kina

Abstract: An integrable complexification of the hierarchy of the KdV equation is constructed. A countable set of first integrals is found, along with the evolution of the scattering data for the complexification of the KdV equation obtained in [1]. Hirota's method is used to obtain some exact solutions of this equation. A representation of the complexification of the KdV equation as an equation of zero curvature is indicated.

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English version:
Mathematics of the USSR-Izvestiya, 1992, 39:3, 1251–1261

Bibliographic databases:

UDC: 539.2
MSC: Primary 35Q53, 35Q58; Secondary 34A25, 35A25, 58F07

Citation: T. V. Red'kina, “Some properties of the complexification of the KdV equation”, Izv. Akad. Nauk SSSR Ser. Mat., 55:6 (1991), 1300–1311; Math. USSR-Izv., 39:3 (1992), 1251–1261

Citation in format AMSBIB
\Bibitem{Red91} \by T.~V.~Red'kina \paper Some properties of the complexification of the KdV equation \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1991 \vol 55 \issue 6 \pages 1300--1311 \mathnet{http://mi.mathnet.ru/izv974} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1152214} \zmath{https://zbmath.org/?q=an:0778.35095|0738.35089} \adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..39.1251R} \transl \jour Math. USSR-Izv. \yr 1992 \vol 39 \issue 3 \pages 1251--1261 \crossref{https://doi.org/10.1070/IM1992v039n03ABEH002246} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1992KH78700008}