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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.
Received: 06.05.1991
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
Linking options:
https://www.mathnet.ru/eng/im974https://doi.org/10.1070/IM1992v039n03ABEH002246 https://www.mathnet.ru/eng/im/v55/i6/p1300
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Abstract page: | 381 | Russian version PDF: | 112 | English version PDF: | 17 | References: | 52 | First page: | 1 |
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