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Matematicheskie Zametki, 1995, Volume 58, Issue 1, Pages 86–97 (Mi mzm2026)  
This article is cited in 15 scientific papers (total in 15 papers)

Two-gap elliptic solutions to integrable nonlinear equations

A. O. Smirnov

St. Petersburg State Academy of Aerospace Equipment Construction
Full-text PDF (1095 kB) Citations (15)
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Abstract: We study spectral surfaces associated with elliptic two-gap solutions to the nonlinear Schrödinger equation (NLS), the Korteweg-de Vries equation (KdV), and the sine-Gordon equation (SG). It is shown that elliptic solutions to the NLS and SG equations, as well as solutions to the KdV equation elliptic with respect to $t$, can be assigned to any hyperelliptic surface of genus 2 that forms a covering over an elliptic surface.
Received: 26.01.1994
English version:
Mathematical Notes, 1995, Volume 58, Issue 1, Pages 735–743
DOI: https://doi.org/10.1007/BF02306182
Bibliographic databases:
Language: Russian
Citation: A. O. Smirnov, “Two-gap elliptic solutions to integrable nonlinear equations”, Mat. Zametki, 58:1 (1995), 86–97; Math. Notes, 58:1 (1995), 735–743
Citation in format AMSBIB
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\by A.~O.~Smirnov
\paper Two-gap elliptic solutions to integrable nonlinear equations
\jour Mat. Zametki
\yr 1995
\vol 58
\issue 1
\pages 86--97
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1361114}
\zmath{https://zbmath.org/?q=an:0849.35132}
\transl
\jour Math. Notes
\yr 1995
\vol 58
\issue 1
\pages 735--743
\crossref{https://doi.org/10.1007/BF02306182}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TV39900007}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:51
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