FROM SOLITON-EQUATIONS TO INTEGRABLE CELLULAR-AUTOMATA THROUGH A LIMITING PROCEDURE

Authors
TOKIHIRO T TAKAHASHI D MATSUKIDAIRA J SATSUMA J
Citation
T. Tokihiro et al., FROM SOLITON-EQUATIONS TO INTEGRABLE CELLULAR-AUTOMATA THROUGH A LIMITING PROCEDURE, Physical review letters, 76(18), 1996, pp. 3247-3250
Citations number
19
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
76
Issue
18
Year of publication
1996
Pages
3247 - 3250
Database
ISI
SICI code
0031-9007(1996)76:18<3247:FSTICT>2.0.ZU;2-C
Abstract
We show a direct connection between a cellular automaton and integrabl e nonlinear wave equations. We also present the N-soliton formula for the cellular automaton. Finally, we propose a general method for const ructing such integrable cellular automata and their N-soliton solution s.