When is negativity not a problem for the ultradiscrete limit?
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Publication:3442078
DOI10.1063/1.2360394zbMath1112.37059arXivnlin/0609034OpenAlexW1991207415MaRDI QIDQ3442078
Alex Kasman, Stéphane Lafortune
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0609034
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Additive difference equations (39A10) Foundations: limits and generalizations, elementary topology of the line (26A03)
Related Items (7)
Ultradiscrete analogue of the van der Pol equation ⋮ 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 ⋮ Do ultradiscrete systems with parity variables satisfy the singularity confinement criterion?
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- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Inversible Max-Plus algebras and integrable systems
- Constructing solutions to the ultradiscrete Painlevé equations
- Ultradiscretization without positivity
- Integrable ultra-discrete equations and singularity analysis
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