Bäcklund Transformations for the Trigonometric Gaudin Magnet

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:
Bäcklund transformations
integrable maps
Gaudin systems
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.012
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spelling doaj-a7a37c78acaa4892a43fa34903c530fa2020-11-25T00:52:56ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-01-016012Bäcklund Transformations for the Trigonometric Gaudin MagnetFederico ZulloOrlando RagniscoWe 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.http://dx.doi.org/10.3842/SIGMA.2010.012Bäcklund transformationsintegrable mapsGaudin systems
collection DOAJ
language English
format Article
sources DOAJ
author Federico Zullo
Orlando Ragnisco
spellingShingle Federico Zullo
Orlando Ragnisco
Bäcklund Transformations for the Trigonometric Gaudin Magnet
Symmetry, Integrability and Geometry: Methods and Applications
Bäcklund transformations
integrable maps
Gaudin systems
author_facet Federico Zullo
Orlando Ragnisco
author_sort Federico Zullo
title Bäcklund Transformations for the Trigonometric Gaudin Magnet
title_short Bäcklund Transformations for the Trigonometric Gaudin Magnet
title_full Bäcklund Transformations for the Trigonometric Gaudin Magnet
title_fullStr Bäcklund Transformations for the Trigonometric Gaudin Magnet
title_full_unstemmed Bäcklund Transformations for the Trigonometric Gaudin Magnet
title_sort bäcklund transformations for the trigonometric gaudin magnet
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2010-01-01
description 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.
topic Bäcklund transformations
integrable maps
Gaudin systems
url http://dx.doi.org/10.3842/SIGMA.2010.012
work_keys_str_mv AT federicozullo backlundtransformationsforthetrigonometricgaudinmagnet
AT orlandoragnisco backlundtransformationsforthetrigonometricgaudinmagnet
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