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Quantum Painlevé Equations: from Continuous to Discrete

Vernadsky National Library of Ukraine

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Title Quantum Painlevé Equations: from Continuous to Discrete
 
Creator Nagoya, H.
Grammaticos, B.
Ramani, A.
 
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.
 
Date 2019-02-19T13:09:48Z
2019-02-19T13:09:48Z
2008
 
Type Article
 
Identifier 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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України