A Soliton Cellular Automaton

Daisuke Takahashi, Junkichi Satsuma

Research output: Contribution to journalArticlepeer-review

215 Citations (Scopus)


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
Issue number10
Publication statusPublished - 1990 Jan 1
Externally publishedYes


  • cellular automaton
  • filter automaton
  • solitary wave
  • soliton

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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