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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 2, Pages 239–256
(Mi nd257)
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This article is cited in 3 scientific papers (total in 3 papers)
Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg–de Vries equations
A. O. Smirnov, G. M. Golovachev, E. G. Amosenok Saint Petersburg State University of Airspace Instrumentation (SUAI)
Abstract:
The behavior of the two-gap elliptic solutions of the Boussinesq and the KdV equations was examined. These solutions were constructed by the $n$-sheet covering over a torus ($n\leqslant3$). It was shown that the shape of the two-gap elliptic solutions depends on $n$ and doesn't depend on the kind of the nonlinear wave equation.
Keywords:
soliton, Boussinesq equation, KdV equation, theta-function, reduction, covering.
Received: 28.04.2011 Revised: 23.06.2011
Citation:
A. O. Smirnov, G. M. Golovachev, E. G. Amosenok, “Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg–de Vries equations”, Nelin. Dinam., 7:2 (2011), 239–256
Linking options:
https://www.mathnet.ru/eng/nd257 https://www.mathnet.ru/eng/nd/v7/i2/p239
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Abstract page: | 405 | Full-text PDF : | 111 | References: | 59 | First page: | 1 |
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