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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| Дата: | 2007 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147374 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147374 |
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dspace |
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irk-123456789-1473742019-02-15T01:24:12Z Bäcklund Transformation for the BC-Type Toda Lattice Kuznetsov, V. Sklyanin, E. 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. 2007 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147374 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 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. |
| format |
Article |
| author |
Kuznetsov, V. Sklyanin, E. |
| spellingShingle |
Kuznetsov, V. Sklyanin, E. Bäcklund Transformation for the BC-Type Toda Lattice Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kuznetsov, V. Sklyanin, E. |
| author_sort |
Kuznetsov, V. |
| title |
Bäcklund Transformation for the BC-Type Toda Lattice |
| title_short |
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_sort |
bäcklund transformation for the bc-type toda lattice |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147374 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT kuznetsovv backlundtransformationforthebctypetodalattice AT sklyanine backlundtransformationforthebctypetodalattice |
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2023-05-20T17:27:10Z |
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2023-05-20T17:27:10Z |
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1796153329570545664 |