A soliton cellular automaton

Daisuke Takahashi, Junkichi Satsuma

Research output: Contribution to journalArticle

182 Citations (Scopus)

Abstract

A cellular automaton (CA) of filter automata type is proposed. Any state of the CA consists only of solitary wave solutions. It is shown that the solitary waves interact with one another preserving their identities during a time evolution. It is also shown that the CA has infinitely many conserved quantities. Hence, this CA may be considered to be one of the simplest soliton systems.

Original languageEnglish
Pages (from-to)3514-3519
Number of pages6
JournalJournal of the Physical Society of Japan
Volume59
Issue number10
Publication statusPublished - 1990 Oct
Externally publishedYes

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cellular automata
solitary waves
preserving
filters

Keywords

  • Cellular automaton
  • Filter automaton
  • Solitary wave
  • Soliton

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

A soliton cellular automaton. / Takahashi, Daisuke; Satsuma, Junkichi.

In: Journal of the Physical Society of Japan, Vol. 59, No. 10, 10.1990, p. 3514-3519.

Research output: Contribution to journalArticle

Takahashi, D & Satsuma, J 1990, 'A soliton cellular automaton', Journal of the Physical Society of Japan, vol. 59, no. 10, pp. 3514-3519.
Takahashi, Daisuke ; Satsuma, Junkichi. / A soliton cellular automaton. In: Journal of the Physical Society of Japan. 1990 ; Vol. 59, No. 10. pp. 3514-3519.
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