New Cellular Automata associated with the Schroedinger Discrete Spectral Problem

DOI10.2991/jnmp.2006.13.2.5zbMath1114.37011arXivnlin/0505033OpenAlexW2125007141MaRDI QIDQ3432956

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Publication date: 19 April 2007

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

Full work available at URL: https://arxiv.org/abs/nlin/0505033

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical aspects of cellular automata (37B15)

Cites Work

• Soliton-like behavior in automata
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• Cellular automata in \(1+1\), \(2+1\) and \(3+1\) dimensions, constants of motion and coherent structures

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