Toda-type cellular automaton and its N-soliton solution

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

doi:10.1016/S0375-9601(96)00899-7

Toda-type cellular automaton and its N-soliton solution

J. Matsukidaira^*, J. Satsuma, D. Takahashi, T. Tokihiro, M. Torii

^*Corresponding author for this work

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

76 Citations (Scopus)

Abstract

We show that the cellular automaton proposed by two of the authors (D.T. and J.M.) is obtained from the discrete Toda lattice equation through a special limiting procedure. Also by applying a similar kind of limiting procedure to the N-soliton solution of the discrete Toda lattice equation, we obtain the N-soliton solution for this cellular automaton.

Original language	English
Pages (from-to)	287-295
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	225
Issue number	4-6
DOIs	https://doi.org/10.1016/S0375-9601(96)00899-7
Publication status	Published - 1997 Feb 3
Externally published	Yes

Keywords

Cellular automaton
Discrete
Nonlinear
Soliton
Toda lattice

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/S0375-9601(96)00899-7

Cite this

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

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AU - Satsuma, J.

AU - Takahashi, D.

AU - Tokihiro, T.

AU - Torii, M.

PY - 1997/2/3

Y1 - 1997/2/3

N2 - We show that the cellular automaton proposed by two of the authors (D.T. and J.M.) is obtained from the discrete Toda lattice equation through a special limiting procedure. Also by applying a similar kind of limiting procedure to the N-soliton solution of the discrete Toda lattice equation, we obtain the N-soliton solution for this cellular automaton.

AB - We show that the cellular automaton proposed by two of the authors (D.T. and J.M.) is obtained from the discrete Toda lattice equation through a special limiting procedure. Also by applying a similar kind of limiting procedure to the N-soliton solution of the discrete Toda lattice equation, we obtain the N-soliton solution for this cellular automaton.

KW - Cellular automaton

KW - Discrete

KW - Nonlinear

KW - Soliton

KW - Toda lattice

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JF - Physics Letters, Section A: General, Atomic and Solid State Physics

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ER -

Toda-type cellular automaton and its N-soliton solution

Abstract

Keywords

ASJC Scopus subject areas

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