Box and ball system as a realization of ultradiscrete nonautonomous KP equation

Authors
Tokihiro, T Takahashi, D Matsukidaira, J
Citation
T. Tokihiro et al., Box and ball system as a realization of ultradiscrete nonautonomous KP equation, J PHYS A, 33(3), 2000, pp. 607-619
Citations number
21
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
3
Year of publication
2000
Pages
607 - 619
Database
ISI
SICI code
0305-4470(20000128)33:3<607:BABSAA>2.0.ZU;2-S
Abstract
Cellular automate, which are realized by dynamics of several kinds of balls in an infinite array of boxes, are investigated. They show soliton pattern s even in the case when each box has arbitrary capacity. The analytical exp ression for the soliton patterns are obtained using ultradiscretization of the nonautonomous discrete KP equation.