Direct ultradiscretization of Ai and Bi functions and special solutions for the Painlevé II equation

DOI10.1088/1751-8113/45/15/155203zbMath1247.39006OpenAlexW2089484334MaRDI QIDQ2882674

Tetsuji Tokihiro, Shin Isojima, Junkichi Satsuma

Publication date: 7 May 2012

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

Full work available at URL: https://doi.org/10.1088/1751-8113/45/15/155203

zbMATH Keywords

Painlevé II equationultradiscretizationCasorati determinants\(Ai\) functions\(Bi\) functions

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)

Related Items (3)

On two-parameter solutions of simultaneous ultradiscrete Painlevé II equation with parity variables ⋮ On exact solutions with periodic structure of the ultradiscrete Toda equation with parity variables ⋮ Bessel function type solutions of the ultradiscrete Painlevé III equation with parity variables

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