From soliton equations to integrable cellular automata through a limiting procedure

T. Tokihiro; D. Takahashi; J. Matsukidaira; J. Satsuma

doi:10.1103/PhysRevLett.76.3247

From soliton equations to integrable cellular automata through a limiting procedure

T. Tokihiro, D. Takahashi, J. Matsukidaira, J. Satsuma

Research output: Contribution to journal › Article › peer-review

310 Citations (Scopus)

Abstract

We show a direct connection between a cellular automaton and integrable nonlinear wave equations. We also present the N-soliton formula for the cellular automaton. Finally, we propose a general method for constructing such integrable cellular automata and their N-soliton solutions.

Original language	English
Pages (from-to)	3247-3250
Number of pages	4
Journal	Physical Review Letters
Volume	76
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevLett.76.3247
Publication status	Published - 1996 Apr 29
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.76.3247

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From soliton equations to integrable cellular automata through a limiting procedure

Abstract

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