Elliptic and multiplicative discrete Painlevé equations from the affine Weyl group E8

DOI10.1088/1751-8113/48/16/16FT02zbMath1315.39002OpenAlexW2098190422MaRDI QIDQ5248743

Basile Grammaticos, Alfred Ramani

Publication date: 8 May 2015

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

Full work available at URL: https://doi.org/10.1088/1751-8113/48/16/16ft02

zbMATH Keywords

integrabilityaffine Weyl groupelliptic equationdiscrete Painlevé equationQRT mappingsdeautonomization

Mathematics Subject Classification ID

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)

Related Items (11)

Investigating relations between discrete Painlevé equations: The multistep approach ⋮ On a novel representation of discrete Painlevé equations ⋮ Fiber-dependent deautonomization of integrable 2D mappings and discrete Painlevé equations ⋮ Multiplicative equations related to the affine Weyl group E8 ⋮ Discrete Painlevé equations from singularity patterns: The asymmetric trihomographic case ⋮ A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E8 group ⋮ Hierarchies of q-discrete Painlevé equations ⋮ Singularity analysis for difference Painlevé equations associated with the affine Weyl groupE₈ ⋮ On the limits of discrete Painlevé equations associated with the affine Weyl group E8 ⋮ Constructing discrete Painlevé equations: from E8(1) to A1(1) and back ⋮ Restoring discrete Painlevé equations from an E8(1)-associated one

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