Abstract
We study an integrable cellular automaton which is called the box-ball system (BBS). The BBS can be derived directly from the integrable differential-difference equation by either ultradiscretization or crystallization. We clarify the integrable structure and the hidden symmetry of the BBS.
| Original language | English |
|---|---|
| Pages (from-to) | 2467-2476 |
| Number of pages | 10 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 34 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Mar 23 2001 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)