A Soliton Cellular Automaton

Daisuke Takahashi; Junkichi Satsuma

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Journal of the Physical Society of Japan

Article . 1990 . Peer-reviewed

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https://dx.doi.org/10.1143/jps...

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A Soliton Cellular Automaton

descriptionPublicationkeyboard_double_arrow_right Article 15 Oct 1990 English Publisher:Physical Society of JapanJournal:Journal of the Physical Society of Japan, volume 59, pages 3,514-3,519 (issn: 0031-9015, eissn: 1347-4073,

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Authors: Daisuke Takahashi; Junkichi Satsuma;

doi: 10.1143/jpsj.59.3514

A Soliton Cellular Automaton

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Abstract

A cellular automaton (CA) of filter automata type is proposed. Any state of the CA consists only of solitary wave solutions. It is shown that the solitary waves interact with one another preserving their identities during a time evolution. It is also shown that the CA has infinitely many conserved quantities. Hence, this CA may be considered to be one of the simplest soliton systems.

Related Organizations

University of Tokyo
Japan
Ryukoku University
Japan

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