日本応用数理学会論文誌
Online ISSN : 2424-0982
ISSN-L : 0917-2246
単純なソリトン系をなすセル・オートマトンについて
高橋 大輔薩摩 順吉
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ジャーナル フリー

1991 年 1 巻 1 号 p. 41-60

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抄録
A new type of cellular automaton (CA) is discussed. This CA is 1+1 dimensional and 2-valued, and any state produces only solitary waves. When the solitary waves interact one another, they preserve their identities and the only effect left after the interaction is a shift of their orbit. Any initial state can be decomposed into the solitary waves. Moreover, an infinite number of conserved quantities exist. Therefore, the CA may be considered to be a simple soliton system. A class of multi-valued CA's are also proposed. They are an extension of the above 2-valued CA and have many properties of soilton system.
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© 1991 一般社団法人 日本応用数理学会
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