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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 72, Number 3, Pages 352–360
(Mi tmf5336)
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This article is cited in 9 scientific papers (total in 9 papers)
Qualitative analysis and calculations of finite-gap solutions of the Korteweg–de Vries equation. Automorphic approach
A. I. Bobenko, D. A. Kubenskii
Abstract:
The Schottky uniformisation theory is used to obtain new formulas for the characteristics
of finite-gap solutions of the KdV equation. Waive number phase velocities
and amplitudes are expressed in terms of Poincare series. Numerical results obtained
by the method proposed are presented.
Received: 27.03.1986
Citation:
A. I. Bobenko, D. A. Kubenskii, “Qualitative analysis and calculations of finite-gap solutions of the Korteweg–de Vries equation. Automorphic approach”, TMF, 72:3 (1987), 352–360; Theoret. and Math. Phys., 72:3 (1987), 929–935
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https://www.mathnet.ru/eng/tmf5336 https://www.mathnet.ru/eng/tmf/v72/i3/p352
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Abstract page: | 291 | Full-text PDF : | 117 | References: | 49 | First page: | 1 |
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