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

69 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)

Access to Document

10.1088/0305-4470/30/21/005

Cite this

@article{dcc1f03368d44fbba3a5490367dfd796,

title = "Box and ball system with a carrier and ultradiscrete modified KdV equation",

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.",

author = "Daisuke Takahashi and Junta Matsukidaira",

year = "1997",

month = nov,

day = "7",

doi = "10.1088/0305-4470/30/21/005",

language = "English",

volume = "30",

pages = "L733--L739",

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

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "21",

}

TY - JOUR

T1 - Box and ball system with a carrier and ultradiscrete modified KdV equation

AU - Takahashi, Daisuke

AU - Matsukidaira, Junta

PY - 1997/11/7

Y1 - 1997/11/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0041107239&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041107239&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/30/21/005

DO - 10.1088/0305-4470/30/21/005

M3 - Article

AN - SCOPUS:0041107239

VL - 30

SP - L733-L739

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 21

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this