Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 3247-3250 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 76 |
| Issue number | 18 |
| Publication status | Published - 1996 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
From soliton equations to integrable cellular automata through a limiting procedure. / Tokihiro, T.; Takahashi, Daisuke; Matsukidaira, J.; Satsuma, J.
In: Physical Review Letters, Vol. 76, No. 18, 1996, p. 3247-3250.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - From soliton equations to integrable cellular automata through a limiting procedure
AU - Tokihiro, T.
AU - Takahashi, Daisuke
AU - Matsukidaira, J.
AU - Satsuma, J.
PY - 1996
Y1 - 1996
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.
UR - http://www.scopus.com/inward/record.url?scp=0347518863&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0347518863&partnerID=8YFLogxK
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 -