Two-dimensional Burgers cellular automaton

Katsuhiro Nishinari, Junta Matsukidaira, Daisuke Takahashi

研究成果: Article査読

6 被引用数 (Scopus)

抄録

In this paper, a two-dimensional cellular automaton (CA) associated with a two-dimensional Burgers equation is presented. The 2D Burgers equation is an integrable generalization of the wellknown Burgers equation, and is transformed into a 2D diffusion equation by the Cole-Hopf transformation. The CA is derived from the 2D Burgers equation by using the ultradiscrete method, which can transform dependent variables into discrete ones. Some exact solutions of the CA. such as shock wave solutions, are studied in detail. The CA is considered as a pairing model of particles that move to different directions.

本文言語English
ページ(範囲)2267-2272
ページ数6
ジャーナルjournal of the physical society of japan
70
8
DOI
出版ステータスPublished - 2001 8

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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