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

T. Tokihiro, Daisuke Takahashi, J. Matsukidaira

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    40 Citations (Scopus)


    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
    Issue number3
    Publication statusPublished - 2000 Jan 28


    ASJC Scopus subject areas

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

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