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

Daisuke Takahashi*, Junta Matsukidaira

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

69 Citations (Scopus)

Abstract

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
Pages (from-to)L733-L739
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number21
DOIs
Publication statusPublished - 1997 Nov 7
Externally publishedYes

ASJC Scopus subject areas

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

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