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Title: Strongly asymmetric discrete Painlevé equations: The additive case

We examine a class of discrete Painlevé equations which present a strong asymmetry. These equations can be written as a system of two equations, the right-hand-sides of which do not have the same functional form. We limit here our investigation to two canonical families of the Quispel-Roberts-Thompson (QRT) classification both of which lead to difference equations. Several new integrable discrete systems are identified.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [5]
  1. IMNC, Université Paris VII and XI, CNRS, UMR 8165, Bât. 440, 91406 Orsay (France)
  2. Centre de Physique Théorique, Ecole Polytechnique, CNRS, 91128 Palaiseau (France)
  3. Department of Mathematics, Pondicherry University, Kalapet, 605014 Puducherry (India)
  4. Avvaiyar Government College for Women, 609602 Karaikal (India)
  5. Department of Physics and Mathematics, Aoyama Gakuin University, 5-10-1 Fuchinobe, Chuo-ku, Sagamihara-shi 252-5258 (Japan)
Publication Date:
OSTI Identifier:
22250665
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMMETRY; CLASSIFICATION; DIFFERENTIAL EQUATIONS; ENTROPY; PARITY