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

T. Tokihiro; D. Takahashi; J. Matsukidaira

doi:10.1088/0305-4470/33/3/313

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

T. Tokihiro^*, D. Takahashi, J. Matsukidaira

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

42 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 language	English
Pages (from-to)	607-619
Number of pages	13
Journal	Journal of Physics A: Mathematical and General
Volume	33
Issue number	3
DOIs	https://doi.org/10.1088/0305-4470/33/3/313
Publication status	Published - 2000 Jan 28

ASJC Scopus subject areas

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

Access to Document

10.1088/0305-4470/33/3/313

Cite this

@article{021e4ba8f442478aa7828afd89b94779,

title = "Box and ball system as a realization of ultradiscrete nonautonomous KP equation",

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.",

author = "T. Tokihiro and D. Takahashi and J. Matsukidaira",

year = "2000",

month = jan,

day = "28",

doi = "10.1088/0305-4470/33/3/313",

language = "English",

volume = "33",

pages = "607--619",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "3",

}

TY - JOUR

T1 - Box and ball system as a realization of ultradiscrete nonautonomous KP equation

AU - Tokihiro, T.

AU - Takahashi, D.

AU - Matsukidaira, J.

PY - 2000/1/28

Y1 - 2000/1/28

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0039965045&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039965045&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/33/3/313

DO - 10.1088/0305-4470/33/3/313

M3 - Article

AN - SCOPUS:0039965045

SN - 0305-4470

VL - 33

SP - 607

EP - 619

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 3

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this