New Airy-type solutions of the ultradiscrete Painlevé II equation with parity variables

DOI10.1088/1751-8113/49/14/145207zbMath1387.39005arXiv1509.05248OpenAlexW2963375221MaRDI QIDQ3186449

Hikaru Igarashi, Shin Isojima, Kouichi Takemura

Publication date: 9 August 2016

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

Full work available at URL: https://arxiv.org/abs/1509.05248

zbMATH Keywords

Painlevé equationAiry functionultradiscrete system

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (4)

On two-parameter solutions of simultaneous ultradiscrete Painlevé II equation with parity variables ⋮ Bessel function type solutions of the ultradiscrete Painlevé III equation with parity variables ⋮ Ultradiscrete analogues of the hard-spring equation and its conserved quantity ⋮ Polynomial solutions of q-Heun equation and ultradiscrete limit

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