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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 012, 6 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.012 (Mi sigma469) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Bäcklund Transformations for the Trigonometric Gaudin Magnet

Orlando Ragnisco, Federico Zullo

Dipartimento di Fisica Universitá Roma Tre and Istituto Nazionale di Fisica Nucleare, Sezione di Roma, I-00146 Roma, Italy
Full-text PDF (168 kB) Citations (6)
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DOI: https://doi.org/10.3842/SIGMA.2010.012
Abstract: We construct a Bäcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of the so-called spectrality property introduced by E. Sklyanin and V. Kuznetsov. In the end we mention some possibly interesting open problems.
Keywords: Bäcklund transformations; integrable maps; Gaudin systems.
Received: December 12, 2009; in final form January 27, 2010; Published online January 29, 2010
Bibliographic databases:
Document Type: Article
MSC: 37J35; 70H06; 70H15
Language: English
Citation: Orlando Ragnisco, Federico Zullo, “Bäcklund Transformations for the Trigonometric Gaudin Magnet”, SIGMA, 6 (2010), 012, 6 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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