Box and ball system as a realization of ultradiscrete nonautonomous KP equation

T. Tokihiro, D. Takahashi, J. Matsukidaira

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

Cellular automata, which are realized by dynamics of several kinds of balls in an infinite array of boxes, are investigated. They show soliton patterns even in the case when each box has arbitrary capacity. The analytical expression for the soliton patterns are obtained using ultradiscretization of the nonautonomous discrete KP equation.

Original languageEnglish
Pages (from-to)607-619
Number of pages13
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number3
DOIs
Publication statusPublished - 2000 Jan 28

ASJC Scopus subject areas

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

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