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Mathematics of the USSR-Izvestiya, 1992, Volume 39, Issue 3, Pages 1251–1261
DOI: https://doi.org/10.1070/IM1992v039n03ABEH002246 (Mi im974) 		 
Some properties of the complexification of the KdV equation

T. V. Red'kina
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DOI: https://doi.org/10.1070/IM1992v039n03ABEH002246
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.
Received: 06.05.1991
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1991, Volume 55, Issue 6, Pages 1300–1311
Bibliographic databases:
UDC: 539.2
MSC: Primary 35Q53, 35Q58; Secondary 34A25, 35A25, 58F07
Language: English
Original paper language: Russian
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
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\paper Some properties of the complexification of the KdV equation
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\yr 1991
\vol 55
\issue 6
\pages 1300--1311
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\transl
\jour Math. USSR-Izv.
\yr 1992
\vol 39
\issue 3
\pages 1251--1261
\crossref{https://doi.org/10.1070/IM1992v039n03ABEH002246}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    English version PDF:17
    References:52
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