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

T. Tokihiro, D. Takahashi, J. Matsukidaira

研究成果: Article

40 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)607-619
ページ数13
ジャーナルJournal of Physics A: Mathematical and General
33
発行部数3
DOI
出版物ステータスPublished - 2000 1 28

ASJC Scopus subject areas

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

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