Periodic multiwave solutions to the Toda-type cellular automaton

DOI10.1088/0305-4470/38/43/L03zbMath1087.37055MaRDI QIDQ3372738

Atsushi Nobe

Publication date: 10 March 2006

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

zbMATH Keywords

Riemann theta functionperiodic multiwave solutionsToda-type celluar

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Dynamical aspects of cellular automata (37B15) Elliptic functions and integrals (33E05) Lattice dynamics; integrable lattice equations (37K60)

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A tropical analogue of Fay's trisecant identity and the ultra-discrete periodic Toda lattice

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