A. O. Smirnov, “Solutions of the KdV equation elliptic in $t$”, TMF, 100:2 (1994), 183–198; Theoret. and Math. Phys., 100:2 (1994), 937

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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 2, Pages 183–198 (Mi tmf1640)

This article is cited in 10 scientific papers (total in 10 papers)

Solutions of the KdV equation elliptic in $t$

A. O. Smirnov

St. Petersburg State Academy of Aerospace Equipment Construction

Full-text PDF (1079 kB) Citations (10)

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Abstract: Two ansatz of the Krichever curves for the elliptic in $t$ solutions of the KdV equation are considered. Examples are given.

Received: 11.05.1993

English version:
Theoretical and Mathematical Physics, 1994, Volume 100, Issue 2, Pages 937–947
DOI: https://doi.org/10.1007/BF01016756

Bibliographic databases:

Language: Russian

Citation: A. O. Smirnov, “Solutions of the KdV equation elliptic in $t$”, TMF, 100:2 (1994), 183–198; Theoret. and Math. Phys., 100:2 (1994), 937–947

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

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\vol 100

\issue 2

\pages 937--947

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Linking options:

https://www.mathnet.ru/eng/tmf1640

https://www.mathnet.ru/eng/tmf/v100/i2/p183

This publication is cited in the following 10 articles:

J. Chris Eilbeck, Victor Z. Enolski, Emma Previato, “Spectral Curves of Operators with Elliptic Coefficients”, SIGMA, 3 (2007), 045, 17 pp.
Armando Treibich, “Revêtements hyperelliptiques d-osculateurs et solitons elliptiques de la hiérarchie KdV”, Comptes Rendus. Mathématique, 345:4 (2007), 213
Pierre Flédrich, “Polynômes 3-Tangentiels Et Solutions t-Périodiques de KdV”, Lett Math Phys, 76:2-3 (2006), 231
A. O. Smirnov, “Two-gap elliptic solutions of the Boussinesq equation”, Sb. Math., 190:5 (1999), 763–781
Gesztesy, F, “Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - An analytic approach”, Bulletin of the American Mathematical Society, 35:4 (1998), 271
Fritz Gesztesy, Rudi Weikard, “A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy”, Acta Math., 181:1 (1998), 63
A. O. Smirnov, “3-Elliptic solutions of the sine-Gordon equation”, Math. Notes, 62:3 (1997), 368–376
A. O. Smirnov, “On a class of elliptic potentials of the Dirac operator”, Sb. Math., 188:1 (1997), 115–135
A. O. Smirnov, “Elliptic in $t$ solutions of the nonlinear Schrödinger equation”, Theoret. and Math. Phys., 107:2 (1996), 568–578
A. O. Smirnov, “On some set of elliptic solutions of the Boussinesq equation”, Theoret. and Math. Phys., 109:3 (1996), 1515–1522

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	77
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