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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Бібліографічні деталі
Дата:2010
Автори: Ragnisco, O., Zullo, F.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2010
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/146150
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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
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spelling irk-123456789-1461502019-02-08T01:24:08Z Bäcklund Transformations for the Trigonometric Gaudin Magnet Ragnisco, O. Zullo, F. 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. 2010 Article 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. 1815-0659 2010 Mathematics Subject Classification: 37J35; 70H06; 70H15 http://dspace.nbuv.gov.ua/handle/123456789/146150 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Ragnisco, O.
Zullo, F.
spellingShingle Ragnisco, O.
Zullo, F.
Bäcklund Transformations for the Trigonometric Gaudin Magnet
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Ragnisco, O.
Zullo, F.
author_sort Ragnisco, O.
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 Інститут математики НАН України
publishDate 2010
url http://dspace.nbuv.gov.ua/handle/123456789/146150
citation_txt 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.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT ragniscoo backlundtransformationsforthetrigonometricgaudinmagnet
AT zullof backlundtransformationsforthetrigonometricgaudinmagnet
first_indexed 2023-05-20T17:23:57Z
last_indexed 2023-05-20T17:23:57Z
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