Box and ball system with a carrier and ultradiscrete modified KdV equation

Daisuke Takahashi, Junta Matsukidaira

Research output: Contribution to journalArticle

66 Citations (Scopus)


A new soliton cellular automaton is proposed. It is defined by an array of an infinite number of boxes, a finite number of balls and a carrier of balls. Moreover, it reduces to a discrete equation obtained from the discrete modified Korteweg-de Vries equation through a limit. An algebraic expression of soliton solutions is also proposed.

Original languageEnglish
JournalJournal of Physics A: Mathematical and General
Issue number21
Publication statusPublished - 1997 Nov 7
Externally publishedYes


ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

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