Solitons in multi-level cellular automata

Adrian Ankiewicz; Yoshinori Nagai

doi:10.1016/S0960-0779(01)00144-8

Solitons in multi-level cellular automata

Adrian Ankiewicz^*, Yoshinori Nagai

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

A matrix approach to cellular automata (CA) and analogies with nonlinear wave motion including solitons were provided. The possibility of soliton type effects of non-integrable systems, like fusion and elastic collisions, were proved with simple nonlinear evolution rules. Clear connection was observed between CA solitons and partial differential equations. A lossless soliton collision with pulses passing through each other was also demonstrated.

Original language	English
Pages (from-to)	1345-1358
Number of pages	14
Journal	Chaos, Solitons and Fractals
Volume	13
Issue number	6
DOIs	https://doi.org/10.1016/S0960-0779(01)00144-8
Publication status	Published - May 2002

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title = "Solitons in multi-level cellular automata",

abstract = "A matrix approach to cellular automata (CA) and analogies with nonlinear wave motion including solitons were provided. The possibility of soliton type effects of non-integrable systems, like fusion and elastic collisions, were proved with simple nonlinear evolution rules. Clear connection was observed between CA solitons and partial differential equations. A lossless soliton collision with pulses passing through each other was also demonstrated.",

author = "Adrian Ankiewicz and Yoshinori Nagai",

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AU - Ankiewicz, Adrian

AU - Nagai, Yoshinori

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AB - A matrix approach to cellular automata (CA) and analogies with nonlinear wave motion including solitons were provided. The possibility of soliton type effects of non-integrable systems, like fusion and elastic collisions, were proved with simple nonlinear evolution rules. Clear connection was observed between CA solitons and partial differential equations. A lossless soliton collision with pulses passing through each other was also demonstrated.

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DO - 10.1016/S0960-0779(01)00144-8

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

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Solitons in multi-level cellular automata

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