From soliton equations to integrable cellular automata through a limiting procedure

T. Tokihiro; D. Takahashi; J. Matsukidaira; J. Satsuma

doi:10.1103/PhysRevLett.76.3247

From soliton equations to integrable cellular automata through a limiting procedure

T. Tokihiro, D. Takahashi, J. Matsukidaira, J. Satsuma

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

298 Citations (Scopus)

Abstract

We show a direct connection between a cellular automaton and integrable nonlinear wave equations. We also present the N-soliton formula for the cellular automaton. Finally, we propose a general method for constructing such integrable cellular automata and their N-soliton solutions.

Original language	English
Pages (from-to)	3247-3250
Number of pages	4
Journal	Physical Review Letters
Volume	76
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevLett.76.3247
Publication status	Published - 1996 Apr 29
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1103/PhysRevLett.76.3247

Cite this

@article{fc650ef2a1bb4a6aaccc0a89fca2982c,

title = "From soliton equations to integrable cellular automata through a limiting procedure",

abstract = "We show a direct connection between a cellular automaton and integrable nonlinear wave equations. We also present the N-soliton formula for the cellular automaton. Finally, we propose a general method for constructing such integrable cellular automata and their N-soliton solutions.",

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

year = "1996",

month = apr,

day = "29",

doi = "10.1103/PhysRevLett.76.3247",

language = "English",

volume = "76",

pages = "3247--3250",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "18",

}

TY - JOUR

T1 - From soliton equations to integrable cellular automata through a limiting procedure

AU - Tokihiro, T.

AU - Takahashi, D.

AU - Matsukidaira, J.

AU - Satsuma, J.

PY - 1996/4/29

Y1 - 1996/4/29

N2 - We show a direct connection between a cellular automaton and integrable nonlinear wave equations. We also present the N-soliton formula for the cellular automaton. Finally, we propose a general method for constructing such integrable cellular automata and their N-soliton solutions.

AB - We show a direct connection between a cellular automaton and integrable nonlinear wave equations. We also present the N-soliton formula for the cellular automaton. Finally, we propose a general method for constructing such integrable cellular automata and their N-soliton solutions.

UR - http://www.scopus.com/inward/record.url?scp=0347518863&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347518863&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.76.3247

DO - 10.1103/PhysRevLett.76.3247

M3 - Article

AN - SCOPUS:0347518863

VL - 76

SP - 3247

EP - 3250

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 18

ER -

From soliton equations to integrable cellular automata through a limiting procedure

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this