Box and ball system with a carrier and ultradiscrete modified KdV equation

Daisuke Takahashi, Junta Matsukidaira

Research output: Contribution to journal › Article

65 Citations (Scopus)

Abstract

A new soliton cellular automaton is proposed. It is defined by an array of an infinite number of boxes, a finite number of balls and a carrier of balls. Moreover, it reduces to a discrete equation obtained from the discrete modified Korteweg-de Vries equation through a limit. An algebraic expression of soliton solutions is also proposed.

Original languageEnglish
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number21
DOIs
Publication statusPublished - 1997 Nov 7
Externally publishedYes

Fingerprint

KdV Equation
Modified Equations
Solitons
boxes
balls
Ball
solitary waves
Korteweg-de Vries equation
cellular automata
Cellular automata
Discrete Equations
Soliton Solution
Korteweg-de Vries Equation
Cellular Automata

ASJC Scopus subject areas

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

Cite this

Box and ball system with a carrier and ultradiscrete modified KdV equation. / Takahashi, Daisuke; Matsukidaira, Junta.

In: Journal of Physics A: Mathematical and General, Vol. 30, No. 21, 07.11.1997.

Research output: Contribution to journal › Article

Takahashi, D & Matsukidaira, J 1997, 'Box and ball system with a carrier and ultradiscrete modified KdV equation', Journal of Physics A: Mathematical and General, vol. 30, no. 21. https://doi.org/10.1088/0305-4470/30/21/005
Takahashi D, Matsukidaira J. Box and ball system with a carrier and ultradiscrete modified KdV equation. Journal of Physics A: Mathematical and General. 1997 Nov 7;30(21). https://doi.org/10.1088/0305-4470/30/21/005
Takahashi, Daisuke ; Matsukidaira, Junta. / Box and ball system with a carrier and ultradiscrete modified KdV equation. In: Journal of Physics A: Mathematical and General. 1997 ; Vol. 30, No. 21.
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