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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2008 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149030 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Nagoya, H. Grammaticos, B. Ramani, A. 2019-02-19T13:09:48Z 2019-02-19T13:09:48Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/149030 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quantum Painlevé Equations: from Continuous to Discrete Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Quantum Painlevé Equations: from Continuous to Discrete |
| spellingShingle |
Quantum Painlevé Equations: from Continuous to Discrete Nagoya, H. Grammaticos, B. Ramani, A. |
| 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 |
| author |
Nagoya, H. Grammaticos, B. Ramani, A. |
| author_facet |
Nagoya, H. Grammaticos, B. Ramani, A. |
| publishDate |
2008 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT nagoyah quantumpainleveequationsfromcontinuoustodiscrete AT grammaticosb quantumpainleveequationsfromcontinuoustodiscrete AT ramania quantumpainleveequationsfromcontinuoustodiscrete |
| first_indexed |
2025-12-07T17:57:52Z |
| last_indexed |
2025-12-07T17:57:52Z |
| _version_ |
1850873240536219648 |