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An integrable system extending the Korteweg–de Vries equation
D. Fofana
Abstract:
Some exact solutions are found for a system of two nonlinear equations admitting a Lax representation. The dynamics of the scattering data of a fourth-order operator of a special form is indicated, and the system is shown to possess a countable set of first integrals.
Received: 06.05.1991
Citation:
D. Fofana, “An integrable system extending the Korteweg–de Vries equation”, Izv. Akad. Nauk SSSR Ser. Mat., 55:6 (1991), 1287–1299; Math. USSR-Izv., 39:3 (1992), 1239–1250
Linking options:
https://www.mathnet.ru/eng/im973https://doi.org/10.1070/IM1992v039n03ABEH002245 https://www.mathnet.ru/eng/im/v55/i6/p1287
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Abstract page: | 445 | Russian version PDF: | 126 | English version PDF: | 14 | References: | 71 | First page: | 2 |
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