Do ultradiscrete systems with parity variables satisfy the singularity confinement criterion?

DOI10.1063/1.3682229zbMath1274.37009OpenAlexW2016533325MaRDI QIDQ2861697

Shin Isojima, Junkichi Satsuma, Naoyuki Mimura, Mikio Murata, Alfred Ramani, Basile Grammaticos

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.1063/1.3682229

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Dynamical aspects of cellular automata (37B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (2)

Singularity confinement as an integrability criterion ⋮ Linearisable ultradiscrete systems with sign variables and the confinement of singularities

Cites Work

• Soliton-antisoliton collision in the ultradiscrete modified KdV equation
• Again, linearizable mappings
• The Gambier mapping
• A class of integrable and nonintegrable mappings and their dynamics
• When is negativity not a problem for the ultradiscrete limit?
• Tropical Nevanlinna Theory and Ultradiscrete Equations
• Singularity confinement test for ultradiscrete equations with parity variables
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Do integrable mappings have the Painlevé property?
• Integrable systems without the Painlevé property
• Ultradiscretization without positivity
• How to detect integrability in cellular automata
• Do integrable cellular automata have the confinement property?

This page was built for publication: Do ultradiscrete systems with parity variables satisfy the singularity confinement criterion?