Symmetry of integrable cellular automaton
type: Item
instance of: scholarly article
title: Symmetry of integrable cellular automaton
zbMATH Open document ID: 0992.37012
DOI: 10.1088/0305-4470/34/11/335
author: Kazuhiro Hikami
author: R. Inoue
published in: Journal of Physics A: Mathematical and General
publication date: 2002-09-16T00:00:00Z
Mathematics Subject Classification ID: 37B15
Mathematics Subject Classification ID: 68Q80
Mathematics Subject Classification ID: 37K60
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 1599608
zbMATH Keywords: Bogoyavlensky lattice
zbMATH Keywords: discretization
zbMATH Keywords: cellular automata
zbMATH Keywords: soliton solutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1088/0305-4470/34/11/335
OpenAlex ID: W2050143520
review text: The paper shows how various discretization methods applied to the equation NEWLINE\[NEWLINE{dv_n\over dt}=v_n \sum^M_{j=0}(v_{n+j} -v_{n-j})NEWLINE\]NEWLINE lead to cellular automata structures and to soliton solutions (which are explicitly written down).
reviewed by: Vladimir Răsvan
description: scientific article; zbMATH DE number 1599608