Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility
We show that under certain technical assumptions any weakly nonlocal Hamiltonian structure compatible with a given nondegenerate weakly nonlocal symplectic structure J can be written as the Lie derivative of J −1 along a suitably chosen nonlocal vector field. Moreover, we present a new description f...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
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/123456789/147362 |
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| Цитувати: | Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility / A. Sergyeyev // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 32 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147362 |
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dspace |
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irk-123456789-1473622019-02-15T01:24:34Z Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility Sergyeyev, A. We show that under certain technical assumptions any weakly nonlocal Hamiltonian structure compatible with a given nondegenerate weakly nonlocal symplectic structure J can be written as the Lie derivative of J −1 along a suitably chosen nonlocal vector field. Moreover, we present a new description for local Hamiltonian structures of arbitrary order compatible with a given nondegenerate local Hamiltonian structure of zero or first order, including Hamiltonian operators of the Dubrovin-Novikov type. 2007 Article Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility / A. Sergyeyev // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 32 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K10; 37K05 http://dspace.nbuv.gov.ua/handle/123456789/147362 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 show that under certain technical assumptions any weakly nonlocal Hamiltonian structure compatible with a given nondegenerate weakly nonlocal symplectic structure J can be written as the Lie derivative of J −1 along a suitably chosen nonlocal vector field. Moreover, we present a new description for local Hamiltonian structures of arbitrary order compatible with a given nondegenerate local Hamiltonian structure of zero or first order, including Hamiltonian operators of the Dubrovin-Novikov type. |
| format |
Article |
| author |
Sergyeyev, A. |
| spellingShingle |
Sergyeyev, A. Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Sergyeyev, A. |
| author_sort |
Sergyeyev, A. |
| title |
Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility |
| title_short |
Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility |
| title_full |
Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility |
| title_fullStr |
Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility |
| title_full_unstemmed |
Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility |
| title_sort |
weakly nonlocal hamiltonian structures: lie derivative and compatibility |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147362 |
| citation_txt |
Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility / A. Sergyeyev // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 32 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT sergyeyeva weaklynonlocalhamiltonianstructuresliederivativeandcompatibility |
| first_indexed |
2023-05-20T17:27:17Z |
| last_indexed |
2023-05-20T17:27:17Z |
| _version_ |
1796153328304914432 |