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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 121, Number 3, Pages 367–373
DOI: https://doi.org/10.4213/tmf816 (Mi tmf816) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Algebraic-geometric solutions of the Krichever–Novikov equation

D. P. Novikov

Omsk State Technical University
Full-text PDF (206 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf816
Abstract: A zero-curvature representation with constant poles on an elliptic curve is obtained for the Krichever–Novikov equation. Algebraic-geometric solutions of this equation are constructed. The consideration is based on reducing the theta function of a two-sheet covering of an elliptic curve to the Prym theta functions of codimension one.
Received: 11.12.1998
Revised: 22.04.1999
English version:
Theoretical and Mathematical Physics, 1999, Volume 121, Issue 3, Pages 1567–1573
DOI: https://doi.org/10.1007/BF02557203
Bibliographic databases:
Language: Russian
Citation: D. P. Novikov, “Algebraic-geometric solutions of the Krichever–Novikov equation”, TMF, 121:3 (1999), 367–373; Theoret. and Math. Phys., 121:3 (1999), 1567–1573
Citation in format AMSBIB
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\by D.~P.~Novikov
\paper Algebraic-geometric solutions of the Krichever--Novikov equation
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\pages 367--373
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\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 121
\issue 3
\pages 1567--1573
\crossref{https://doi.org/10.1007/BF02557203}
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  • https://www.mathnet.ru/eng/tmf/v121/i3/p367
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :280
    References:89
    First page:2
     
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