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TMF, 1987, Volume 72, Number 3, Pages 352–360 (Mi tmf5336)  

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.

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English version:
Theoretical and Mathematical Physics, 1987, 72:3, 929–935

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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

Citation in format AMSBIB
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\by A.~I.~Bobenko, D.~A.~Kubenskii
\paper Qualitative analysis and calculations of finite-gap solutions of the Korteweg--de~Vries equation. Automorphic approach
\jour TMF
\yr 1987
\vol 72
\issue 3
\pages 352--360
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=936383}
\zmath{https://zbmath.org/?q=an:0662.35116|0632.35067}
\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 72
\issue 3
\pages 929--935
\crossref{https://doi.org/10.1007/BF01018298}
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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