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....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2010-01-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.012 |
| _version_ | 1818196233993322496 |
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| author | Federico Zullo Orlando Ragnisco |
| author_facet | Federico Zullo Orlando Ragnisco |
| author_sort | Federico Zullo |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-12T01:30:50Z |
| format | Article |
| id | doaj.art-a7a37c78acaa4892a43fa34903c530fa |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-12T01:30:50Z |
| publishDate | 2010-01-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-a7a37c78acaa4892a43fa34903c530fa2022-12-22T00:42:59ZengNational 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 |
| 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 |
| title | 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_short | Bäcklund Transformations for the Trigonometric Gaudin Magnet |
| title_sort | backlund transformations for the trigonometric gaudin magnet |
| 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 |