A class of special solutions for the ultradiscrete Painlevé II equation

DOI10.3842/SIGMA.2011.074zbMath1246.39006arXiv1107.4416MaRDI QIDQ431340

Junkichi Satsuma, Shin Isojima

Publication date: 26 June 2012

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4416

zbMATH Keywords

Painlevé equation\(q\)-difference equationultradiscretizationAiry equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Other functions coming from differential, difference and integral equations (33E30) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)

Related Items (2)

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

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