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| _version_ | 1862715433178628096 |
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| author | Nagoya, H. Grammaticos, B. Ramani, A. |
| author_facet | Nagoya, H. Grammaticos, B. Ramani, A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T17:57:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149030 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:57:52Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Quantum Painlevé Equations: from Continuous to Discrete Nagoya, H. Grammaticos, B. Ramani, A. |
| title | 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_short | Quantum Painlevé Equations: from Continuous to Discrete |
| title_sort | quantum painlevé equations: from continuous to discrete |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149030 |
| work_keys_str_mv | AT nagoyah quantumpainleveequationsfromcontinuoustodiscrete AT grammaticosb quantumpainleveequationsfromcontinuoustodiscrete AT ramania quantumpainleveequationsfromcontinuoustodiscrete |