Geodesic
Bäcklund Transformations for the Trigonometric Gaudin Magnet
Symmetry, integrability and geometry: methods and applications, Tome 6 (2010) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Orlando Ragnisco and Federico Zullo},
     title = {B\"acklund {Transformations} for the {Trigonometric} {Gaudin} {Magnet}},
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     year = {2010},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a11/}
}
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Orlando Ragnisco; Federico Zullo. Bäcklund Transformations for the Trigonometric Gaudin Magnet. Symmetry, integrability and geometry: methods and applications, Tome 6 (2010). http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a11/

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