Exact solutions for discrete and ultradiscrete modified KdV equations and their relation to box-ball systems

M. Murata; S. Isojima; A. Nobe; J. Satsuma

doi:10.1088/0305-4470/39/1/L04

Exact solutions for discrete and ultradiscrete modified KdV equations and their relation to box-ball systems

M. Murata^*, S. Isojima, A. Nobe, J. Satsuma

^*Corresponding author for this work

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

13 Citations (Scopus)

Abstract

A new class of solutions is proposed for discrete and ultradiscrete modified KdV equations. These are directly related to solutions of the box and ball system with a carrier. Moreover, an extended box and ball system and its exact solutions are discussed.

Original language	English
Pages (from-to)	L27-L34
Journal	Journal of Physics A: Mathematical and General
Volume	39
Issue number	1
DOIs	https://doi.org/10.1088/0305-4470/39/1/L04
Publication status	Published - 2006 Jan 6
Externally published	Yes

ASJC Scopus subject areas

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

Access to Document

10.1088/0305-4470/39/1/L04

Cite this

@article{37253b6f27ff415faac5ba53a3caafa3,

title = "Exact solutions for discrete and ultradiscrete modified KdV equations and their relation to box-ball systems",

abstract = "A new class of solutions is proposed for discrete and ultradiscrete modified KdV equations. These are directly related to solutions of the box and ball system with a carrier. Moreover, an extended box and ball system and its exact solutions are discussed.",

author = "M. Murata and S. Isojima and A. Nobe and J. Satsuma",

year = "2006",

month = jan,

day = "6",

doi = "10.1088/0305-4470/39/1/L04",

language = "English",

volume = "39",

pages = "L27--L34",

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

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - Exact solutions for discrete and ultradiscrete modified KdV equations and their relation to box-ball systems

AU - Murata, M.

AU - Isojima, S.

AU - Nobe, A.

AU - Satsuma, J.

PY - 2006/1/6

Y1 - 2006/1/6

N2 - A new class of solutions is proposed for discrete and ultradiscrete modified KdV equations. These are directly related to solutions of the box and ball system with a carrier. Moreover, an extended box and ball system and its exact solutions are discussed.

AB - A new class of solutions is proposed for discrete and ultradiscrete modified KdV equations. These are directly related to solutions of the box and ball system with a carrier. Moreover, an extended box and ball system and its exact solutions are discussed.

UR - http://www.scopus.com/inward/record.url?scp=29144490638&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29144490638&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/39/1/L04

DO - 10.1088/0305-4470/39/1/L04

M3 - Article

AN - SCOPUS:29144490638

SN - 0305-4470

VL - 39

SP - L27-L34

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 1

ER -

Exact solutions for discrete and ultradiscrete modified KdV equations and their relation to box-ball systems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this