Full-parameter discrete Painlevé systems from non-translational Cremona isometries

DOI10.1088/1751-8121/aae9fczbMath1411.34116arXiv1806.10388OpenAlexW2809781366MaRDI QIDQ4629625

Alexander Stokes

Publication date: 27 March 2019

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

Full work available at URL: https://arxiv.org/abs/1806.10388

zbMATH Keywords

affine Weyl groupdiscrete Painlevé equationCremona transformationprojective reduction

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) 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) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Relationships between algebraic curves and integrable systems (14H70) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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