Strongly asymmetric discrete Painlevé equations: The additive case

Journal Article · Thu May 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4874111· OSTI ID:22250665

Grammaticos, B. ^[1]; Ramani, A. ^[2]; Tamizhmani, K. M. ^[3]; Tamizhmani, T. ^[4]; Satsuma, J. ^[5]

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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)

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.

• OSTI ID: 22250665
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMMETRY
CLASSIFICATION
DIFFERENTIAL EQUATIONS
ENTROPY
PARITY