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 |
| DOIs | |
| Publication status | Published - 1996 Apr 29 |
| Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Cite this
Tokihiro, T., Takahashi, D., Matsukidaira, J., & Satsuma, J. (1996). From soliton equations to integrable cellular automata through a limiting procedure. Physical Review Letters, 76(18), 3247-3250. https://doi.org/10.1103/PhysRevLett.76.3247