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

Daisuke Takahashi; Junta Matsukidaira

doi:10.1088/0305-4470/30/21/005

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

Daisuke Takahashi^*, Junta Matsukidaira

^*Corresponding author for this work

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

72 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 language	English
Pages (from-to)	L733-L739
Journal	Journal of Physics A: Mathematical and General
Volume	30
Issue number	21
DOIs	https://doi.org/10.1088/0305-4470/30/21/005
Publication status	Published - 1997 Nov 7
Externally published	Yes

ASJC Scopus subject areas

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

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10.1088/0305-4470/30/21/005

Cite this

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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.",

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

Abstract

ASJC Scopus subject areas

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