From soliton equations to integrable cellular automata through a limiting procedure

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

Research output: Contribution to journalArticle

285 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 languageEnglish
Pages (from-to)3247-3250
Number of pages4
JournalPhysical Review Letters
Volume76
Issue number18
Publication statusPublished - 1996
Externally publishedYes

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cellular automata
solitary waves
wave equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

From soliton equations to integrable cellular automata through a limiting procedure. / Tokihiro, T.; Takahashi, Daisuke; Matsukidaira, J.; Satsuma, J.

In: Physical Review Letters, Vol. 76, No. 18, 1996, p. 3247-3250.

Research output: Contribution to journalArticle

Tokihiro, T, Takahashi, D, Matsukidaira, J & Satsuma, J 1996, 'From soliton equations to integrable cellular automata through a limiting procedure', Physical Review Letters, vol. 76, no. 18, pp. 3247-3250.
Tokihiro, T. ; Takahashi, Daisuke ; Matsukidaira, J. ; Satsuma, J. / From soliton equations to integrable cellular automata through a limiting procedure. In: Physical Review Letters. 1996 ; Vol. 76, No. 18. pp. 3247-3250.
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