Toda-type cellular automaton and its \(N\)-soliton solution

DOI10.1016/S0375-9601(96)00899-7zbMath0962.82526OpenAlexW2119159276MaRDI QIDQ1968133

Makoto Torii, Junta Matsukidaira, Daisuke A. Takahashi, Junkichi Satsuma, Tetsuji Tokihiro

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(96)00899-7

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

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Cites Work

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• Integrable symplectic maps
• Soliton-like behavior in automata
• Soliton cellular automata
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• On discrete soliton equations related to cellular automata
• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• A Rule for Fast Computation and Analysis of Soliton Automata
• Conserved Quantities of a Class of Nonlinear Difference-Difference Equations
• Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy
• Do integrable mappings have the Painlevé property?

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