TY - JOUR
T1 - From soliton equations to integrable cellular automata through a limiting procedure
AU - Tokihiro, T.
AU - Takahashi, D.
AU - Matsukidaira, J.
AU - Satsuma, J.
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1996/4/29
Y1 - 1996/4/29
N2 - We show a direct connection between a cellular automaton and integrable nonlinear wave equations. We also present the N-soliton formula for the cellular automaton. Finally, we propose a general method for constructing such integrable cellular automata and their N-soliton solutions.
AB - We show a direct connection between a cellular automaton and integrable nonlinear wave equations. We also present the N-soliton formula for the cellular automaton. Finally, we propose a general method for constructing such integrable cellular automata and their N-soliton solutions.
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U2 - 10.1103/PhysRevLett.76.3247
DO - 10.1103/PhysRevLett.76.3247
M3 - Article
AN - SCOPUS:0347518863
VL - 76
SP - 3247
EP - 3250
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 18
ER -