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- W2092163535 abstract "We describe two simple cellular automata (CA) models which exhibit the essential attributes of soliton systems. The first one is an invertible, 2-state, 1-dimensional CA or, in other words, a nonlinearZ 2-valued dynamical system with discrete space and time. Against a vacuum state of 0, the system exhibits light cone particles in both spatial directions, which interact in a soliton-like fashion. A complete solution of this system is obtained. We also consider another CA, which is described by the Hirota equation over a finite field, and present a Lax representation for it." @default.
- W2092163535 created "2016-06-24" @default.
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- W2092163535 date "1993-11-01" @default.
- W2092163535 modified "2023-10-16" @default.
- W2092163535 title "On two integrable cellular automata" @default.
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- W2092163535 doi "https://doi.org/10.1007/bf02097234" @default.
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