Ultradiscrete Painlevé II equation and a special function solution

DOI10.1088/1751-8113/44/17/175201zbMath1256.39007OpenAlexW1966699188MaRDI QIDQ2998075

Junkichi Satsuma, Naoyuki Mimura, Tomoyuki Konno, Shin Isojima, Mikio Murata

Publication date: 18 May 2011

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

Full work available at URL: https://doi.org/10.1088/1751-8113/44/17/175201

zbMATH Keywords

\(q\)-Airy equationspecial function solutionultradiscrete Painlevé II equation

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Painlevé-type functions (33E17)

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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 hard-spring equation and its phase plane analysis ⋮ Indeterminate solutions of the \(p\)-ultradiscrete equation and leading term analysis ⋮ Unnamed Item ⋮ Ultradiscrete analogues of the hard-spring equation and its conserved quantity

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