Discrete Painlevé equations with maximal periodicities

DOI10.1088/1751-8113/47/38/385201zbMath1301.39005OpenAlexW2001235584MaRDI QIDQ2922385

Alfred Ramani, Basile Grammaticos

Publication date: 10 October 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/47/38/385201

zbMATH Keywords

affine Weyl groupsperiodicitydiscrete Painlevé equationsQRT mappingsintergrabilitydeautonomization

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Periodic solutions of difference equations (39A23)

Related Items (3)

On a novel representation of discrete Painlevé equations ⋮ A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E8 group ⋮ Singularity confinement and full-deautonomisation: a discrete integrability criterion

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