Elliptic discrete Painlev equations

DOI10.1088/0305-4470/35/45/104zbMath1056.39027OpenAlexW2046917825MaRDI QIDQ4468163

Alfred Ramani, Basile Grammaticos, Yasuhiro Ohta

Publication date: 10 June 2004

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

Full work available at URL: https://doi.org/10.1088/0305-4470/35/45/104

zbMATH Keywords

affine Weyl groups\(q\)-difference equations``elliptic discrete Painlevé equations

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) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Related Items (10)

Discrete Hamiltonians of discrete Painlevé equations ⋮ 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 ⋮ Singularity analysis for difference Painlevé equations associated with the affine Weyl groupE₈ ⋮ The number of discrete Painlevé equations is infinite ⋮ On the discrete form of the Fokas--Ablowitz equation ⋮ Contiguity relations for discrete and ultradiscrete Painleve equations ⋮ Constructing discrete Painlevé equations: from E8(1) to A1(1) and back ⋮ Elliptic Painlevé equations from next-nearest-neighbor translations on the $E_8^{(1)}$ lattice

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