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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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2010
Main Authors: Ragnisco, O., Zullo, F.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146150
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Bäcklund Transformations for the Trigonometric Gaudin Magnet / O. Ragnisco, F. Zullo // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine