Generating discrete Painlevé equations from affine Weyl groups

DOI10.1070/RD2005v010n02ABEH000308zbMath1119.39301OpenAlexW4246525678MaRDI QIDQ2569546

Alfred Ramani, Basile Grammaticos

Publication date: 28 October 2005

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: http://www.turpion.org/php/paper.phtml?journal_id=rd&paper_id=308

zbMATH Keywords

Weyl groupintegrabilitydiscrete Painleve equationBaecklund transformation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

The number of discrete Painlevé equations is infinite ⋮ On the identity of two \(q\)-discrete Painlevé equations and their geometrical derivation ⋮ Contiguity relations for discrete and ultradiscrete Painleve equations

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