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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
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
Citation:
Orlando Ragnisco, Federico Zullo, “Bäcklund Transformations for the Trigonometric Gaudin Magnet”, SIGMA, 6 (2010), 012, 6 pp.
Linking options:
https://www.mathnet.ru/eng/sigma469 https://www.mathnet.ru/eng/sigma/v6/p12
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Abstract page: | 243 | Full-text PDF : | 55 | References: | 36 |
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