Quantum Painlevé Equations: from Continuous to Discrete
We examine quantum extensions of the continuous Painlevé equations, expressed as systems of first-order differential equations for non-commuting objects. We focus on the Painlevé equations II, IV and V. From their auto-Bäcklund transformations we derive the contiguity relations which we interpret as...
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| Дата: | 2008 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149030 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Quantum Painlevé Equations: from Continuous to Discrete / H. Nagoya, B. Grammaticos, A. Ramani // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 16 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149030 |
|---|---|
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dspace |
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irk-123456789-1490302019-02-20T01:28:36Z Quantum Painlevé Equations: from Continuous to Discrete Nagoya, H. Grammaticos, B. Ramani, A. We examine quantum extensions of the continuous Painlevé equations, expressed as systems of first-order differential equations for non-commuting objects. We focus on the Painlevé equations II, IV and V. From their auto-Bäcklund transformations we derive the contiguity relations which we interpret as the quantum analogues of the discrete Painlevé equations. 2008 Article Quantum Painlevé Equations: from Continuous to Discrete / H. Nagoya, B. Grammaticos, A. Ramani // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 16 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 34M55; 37K55; 81S99 http://dspace.nbuv.gov.ua/handle/123456789/149030 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 examine quantum extensions of the continuous Painlevé equations, expressed as systems of first-order differential equations for non-commuting objects. We focus on the Painlevé equations II, IV and V. From their auto-Bäcklund transformations we derive the contiguity relations which we interpret as the quantum analogues of the discrete Painlevé equations. |
| format |
Article |
| author |
Nagoya, H. Grammaticos, B. Ramani, A. |
| spellingShingle |
Nagoya, H. Grammaticos, B. Ramani, A. Quantum Painlevé Equations: from Continuous to Discrete Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Nagoya, H. Grammaticos, B. Ramani, A. |
| author_sort |
Nagoya, H. |
| title |
Quantum Painlevé Equations: from Continuous to Discrete |
| title_short |
Quantum Painlevé Equations: from Continuous to Discrete |
| title_full |
Quantum Painlevé Equations: from Continuous to Discrete |
| title_fullStr |
Quantum Painlevé Equations: from Continuous to Discrete |
| title_full_unstemmed |
Quantum Painlevé Equations: from Continuous to Discrete |
| title_sort |
quantum painlevé equations: from continuous to discrete |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149030 |
| citation_txt |
Quantum Painlevé Equations: from Continuous to Discrete / H. Nagoya, B. Grammaticos, A. Ramani // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 16 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT nagoyah quantumpainleveequationsfromcontinuoustodiscrete AT grammaticosb quantumpainleveequationsfromcontinuoustodiscrete AT ramania quantumpainleveequationsfromcontinuoustodiscrete |
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2023-05-20T17:32:01Z |
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2023-05-20T17:32:01Z |
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