Lattice equations arising from discrete Painlevé systems. I. (A2 + A1)(1) and (A1+A1′)(1) cases

DOI10.1063/1.4931481zbMath1329.81208arXiv1401.7044OpenAlexW2115978923MaRDI QIDQ3192723

Nobutaka Nakazono, Nalini Joshi, Yang Shi

Publication date: 13 October 2015

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

Full work available at URL: https://arxiv.org/abs/1401.7044

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Groups and algebras in quantum theory and relations with integrable systems (81R12) Discrete version of topics in analysis (39A12)

Related Items (8)

Discrete Painlevé transcendent solutions to the multiplicative-type discrete KdV equations ⋮ Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\) ⋮ Lattice equations arising from discrete Painlevé systems: II. ${A}_{4}^{(1)}$ case ⋮ Reduction of lattice equations to the Painlevé equations: PIV and PV ⋮ Geometric description of a discrete power function associated with the sixth Painlevé equation ⋮ Cluster integrable systems, \(q\)-Painlevé equations and their quantization ⋮ BPS quivers of five-dimensional SCFTs, topological strings and \(q\)-Painlevé equations ⋮ Invariants in separated variables: Yang-Baxter, entwining and transfer maps

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