Ultradiscrete analogues of the hard-spring equation and its conserved quantity

DOI10.1007/s13160-018-0329-5zbMath1410.34045OpenAlexW2891277100MaRDI QIDQ1736461

Shin Isojima, Hirotaka Toyama

Publication date: 26 March 2019

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-018-0329-5

zbMATH Keywords

integrable systemsDuffing equationultradiscretizationconserved quantity

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Additive difference equations (39A10) Periodic solutions of difference equations (39A23)

Related Items (4)

Ultradiscrete analogue of the van der Pol equation ⋮ Ultradiscrete hard-spring equation and its phase plane analysis ⋮ Indeterminate solutions of the \(p\)-ultradiscrete equation and leading term analysis ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Ultradiscrete Painlevé VI with parity variables
• Ultradiscrete Painlevé II equation and a special function solution
• New Airy-type solutions of the ultradiscrete Painlevé II equation with parity variables
• When is negativity not a problem for the ultradiscrete limit?
• Hypergeometric Solutions to an Ultradiscrete Painlevé Equation
• Singularity confinement test for ultradiscrete equations with parity variables
• Discrete versions of the Painlevé equations
• Ultradiscretization without positivity
• Singularities of the discrete KdV equation and the Laurent property
• Chaos

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