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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 130, Number 3, Pages 426–441
DOI: https://doi.org/10.4213/tmf310 (Mi tmf310) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Elliptic Gaudin System with Spin

D. V. Talalaev

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
Full-text PDF (273 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf310
Abstract: We study the algebraic-geometric structure of the elliptic Gaudin two-puncture model previously obtained. We identify this system with the system of pole dynamics of finite-gap solutions of the matrix Davey–Stewartson equation. We also obtain the action-angle variables and construct explicit solutions of this system in terms of theta functions. We discuss the geometry of degenerations of this system.
Received: 29.08.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 130, Issue 3, Pages 361–374
DOI: https://doi.org/10.1023/A:1014762822143
Bibliographic databases:
Language: Russian
Citation: D. V. Talalaev, “The Elliptic Gaudin System with Spin”, TMF, 130:3 (2002), 426–441; Theoret. and Math. Phys., 130:3 (2002), 361–374
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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    References:82
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