On discrete soliton equations related to cellular automata

DOI10.1016/0375-9601(95)00780-8zbMath1020.37501OpenAlexW2087238380MaRDI QIDQ1965826

Junta Matsukidaira, Daisuke A. Takahashi

Publication date: 8 February 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00780-8

Mathematics Subject Classification ID

Topological dynamics (37B99)

Related Items

Geometric representations of interacting maps ⋮ The ultimate discretisation of the Painlevé equations ⋮ Ultra-discrete Toda molecule equation. ⋮ Toda-type cellular automaton and its \(N\)-soliton solution ⋮ Two-dimensional soliton cellular automaton of deautonomized Toda-type. ⋮ EULER–LAGRANGE CORRESPONDENCE OF GENERALIZED BURGERS CELLULAR AUTOMATON ⋮ Soliton solution to the generalized discrete BKP equation and its Bäcklund transformation equations ⋮ Cellular automata and ultra-discrete Painlevé equations ⋮ Nonautonomous discrete integrable systems ⋮ An Ablowitz-Ladik system with a discrete potential. I: Extended resolvent ⋮ Min-plus eigenvalue of tridiagonal matrices in terms of the ultradiscrete Toda equation ⋮ Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings ⋮ Solitons in multi-level cellular automata. ⋮ Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation

Cites Work

• Unnamed Item
• Soliton-like behavior in automata
• Soliton cellular automata
• Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• A Rule for Fast Computation and Analysis of Soliton Automata
• Casorati determinant solution for the relativistic Toda lattice equation