Abstract
A new soliton cellular automaton is proposed. It is defined by an array of an infinite number of boxes, a finite number of balls and a carrier of balls. Moreover, it reduces to a discrete equation obtained from the discrete modified Korteweg-de Vries equation through a limit. An algebraic expression of soliton solutions is also proposed.
| Original language | English |
|---|---|
| Pages (from-to) | L733-L739 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 30 |
| Issue number | 21 |
| DOIs | |
| Publication status | Published - 1997 Nov 7 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
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Cite this
Takahashi, D., & Matsukidaira, J. (1997). Box and ball system with a carrier and ultradiscrete modified KdV equation. Journal of Physics A: Mathematical and General, 30(21), L733-L739. https://doi.org/10.1088/0305-4470/30/21/005