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

T. Tokihiro, Daisuke 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

    Fingerprint

    KP Equation
    Nonautonomous Equation
    Solitons
    boxes
    balls
    Ball
    solitary waves
    cellular automata
    Cellular automata
    Discrete Equations
    Cellular Automata
    Arbitrary

    ASJC Scopus subject areas

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

    Cite this

    Box and ball system as a realization of ultradiscrete nonautonomous KP equation. / Tokihiro, T.; Takahashi, Daisuke; Matsukidaira, J.

    In: Journal of Physics A: Mathematical and General, Vol. 33, No. 3, 28.01.2000, p. 607-619.

    Research output: Contribution to journalArticle

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