Bäcklund Transformation for the BC-Type Toda Lattice
We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity and spectrality. The Bäcklund transformation can be also viewed as a discret...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2007 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147374 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Bäcklund Transformation for the BC-Type Toda Lattice / V. Kuznetsov, E. Sklyanin // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862545366063251456 |
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| author | Kuznetsov, V. Sklyanin, E. |
| author_facet | Kuznetsov, V. Sklyanin, E. |
| citation_txt | Bäcklund Transformation for the BC-Type Toda Lattice / V. Kuznetsov, E. Sklyanin // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity and spectrality. The Bäcklund transformation can be also viewed as a discretized time dynamics. Two Lax matrices are used: of order 2 and of order 2n+2, which are mutually dual, sharing the same spectral curve.
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| first_indexed | 2025-11-25T07:13:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147374 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T07:13:54Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kuznetsov, V. Sklyanin, E. 2019-02-14T14:49:25Z 2019-02-14T14:49:25Z 2007 Bäcklund Transformation for the BC-Type Toda Lattice / V. Kuznetsov, E. Sklyanin // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 70H06 https://nasplib.isofts.kiev.ua/handle/123456789/147374 We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity and spectrality. The Bäcklund transformation can be also viewed as a discretized time dynamics. Two Lax matrices are used: of order 2 and of order 2n+2, which are mutually dual, sharing the same spectral curve. This paper is a contribution to the Vadim Kuznetsov Memorial Issue ‘Integrable Systems and Related Topics’. This work has been partially supported by the European Community (or European Union) through the FP6 Marie Curie RTN ENIGMA (Contract number MRTN-CT-2004-5652). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Bäcklund Transformation for the BC-Type Toda Lattice Article published earlier |
| spellingShingle | Bäcklund Transformation for the BC-Type Toda Lattice Kuznetsov, V. Sklyanin, E. |
| title | Bäcklund Transformation for the BC-Type Toda Lattice |
| title_full | Bäcklund Transformation for the BC-Type Toda Lattice |
| title_fullStr | Bäcklund Transformation for the BC-Type Toda Lattice |
| title_full_unstemmed | Bäcklund Transformation for the BC-Type Toda Lattice |
| title_short | Bäcklund Transformation for the BC-Type Toda Lattice |
| title_sort | bäcklund transformation for the bc-type toda lattice |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147374 |
| work_keys_str_mv | AT kuznetsovv backlundtransformationforthebctypetodalattice AT sklyanine backlundtransformationforthebctypetodalattice |