On two-parameter solutions of simultaneous ultradiscrete Painlevé II equation with parity variables

DOI10.1063/1.5020867zbMath1401.39006arXiv1611.05385OpenAlexW3103682284MaRDI QIDQ4556644

Kouichi Takemura, Hikaru Igarashi

Publication date: 16 November 2018

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

Full work available at URL: https://arxiv.org/abs/1611.05385

zbMATH Keywords

determinant type solutionultradiscrete Painlevé equation

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) Difference equations, scaling ((q)-differences) (39A13)

Related Items (2)

Indeterminate solutions of the \(p\)-ultradiscrete equation and leading term analysis ⋮ Polynomial solutions of q-Heun equation and ultradiscrete limit

Cites Work

• Exact solutions with two parameters for an ultradiscrete Painlevé equation of type \(A_{6}^{(1)}\)
• A class of special solutions for the ultradiscrete Painlevé II equation
• Discrete Painlevé equations: coalescences, limits and degeneracies
• Bessel function type solutions of the ultradiscrete Painlevé III equation with parity variables
• Ultradiscrete Painlevé VI with parity variables
• Direct ultradiscretization of Ai and Bi functions and special solutions for the Painlevé II equation
• Ultradiscrete Painlevé II equation and a special function solution
• New Airy-type solutions of the ultradiscrete Painlevé II equation with parity variables
• Hypergeometric solutions to the q-Painleve equation of type $$ _ + _ ^{\prime })}^ $$

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