Symmetry of integrable cellular automaton

Kazuhiro Hikami, Rei Inoue

Research output: Contribution to journalArticle

Abstract

We study an integrable cellular automaton which is called the box-ball system (BBS). The BBS can be derived directly from the integrable differential-difference equation by either ultradiscretization or crystallization. We clarify the integrable structure and the hidden symmetry of the BBS.

Original languageEnglish
Pages (from-to)2467-2476
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number11
DOIs
Publication statusPublished - Mar 23 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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