Lattice equations arising from discrete Painlevé systems: II. ${A}_{4}^{(1)}$ case

DOI10.1088/1751-8113/49/49/495201zbMath1357.81111arXiv1603.09414OpenAlexW3104760109MaRDI QIDQ2960248

Yang Shi, Nalini Joshi, Nobutaka Nakazono

Publication date: 8 February 2017

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

Full work available at URL: https://arxiv.org/abs/1603.09414

zbMATH Keywords

affine Weyl groupLax pairdiscrete Painlevé equation\(\tau\) functionABS equation

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

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 \((A_1+A_1')^{(1)}\) ⋮ Reduction of lattice equations to the Painlevé equations: PIV and PV ⋮ Invariants in separated variables: Yang-Baxter, entwining and transfer maps

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