Constructing solutions to the ultradiscrete Painlevé equations

DOI10.1088/0305-4470/30/22/029zbMath0926.39007OpenAlexW2077281721MaRDI QIDQ4255747

Tetsuji Tokihiro, Yasuhiro Ohta, Alfred Ramani, Daisuke A. Takahashi, Basile Grammaticos

Publication date: 22 August 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/30/22/029

zbMATH Keywords

elliptic functionsCasorati determinantultradiscrete Painlevé equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Cellular automata (computational aspects) (68Q80) Discrete version of topics in analysis (39A12) Dynamical aspects of cellular automata (37B15)

Related Items (11)

When is negativity not a problem for the ultradiscrete limit? ⋮ From stochastic partial difference equations to stochastic cellular automata through the ultra-discretization ⋮ 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 ⋮ A Maple package for verifying ultradiscrete soliton solutions ⋮ An ultradiscrete integrable map arising from a pair of tropical elliptic pencils ⋮ Fairing of discrete planar curves to integrable discrete analogue of Euler’s elasticae ⋮ Unnamed Item ⋮ Hypergeometric Solutions to an Ultradiscrete Painlevé Equation ⋮ Inversible Max-Plus algebras and integrable systems ⋮ Solitons in multi-level cellular automata.

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