Bäcklund Transformations for the Trigonometric Gaudin Magnet

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....

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Bibliographic Details
Main Authors: Federico Zullo, Orlando Ragnisco
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.012