Lax pairs of discrete Painlevé equations: (A2+A1)(1)case

DOI10.1098/rspa.2016.0696zbMath1371.37125arXiv1503.04515OpenAlexW1889610089MaRDI QIDQ5363724

Nalini Joshi, Nobutaka Nakazono

Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04515

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Relationships between algebraic curves and integrable systems (14H70) Partial difference equations (39A14)

Related Items (6)

On symmetric solutions of the fourth q-Painlevé equation ⋮ 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. I. (A2 + A1)(1) and (A1+A1′)(1) cases ⋮ Hierarchies of q-discrete Painlevé equations ⋮ Reduction of lattice equations to the Painlevé equations: PIV and PV ⋮ On the Riemann-Hilbert problem for a \(q\)-difference Painlevé equation

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