Abstract
A cellular automaton (CA) of filter automata type is proposed. Any state of the CA consists only of solitary wave solutions. It is shown that the solitary waves interact with one another preserving their identities during a time evolution. It is also shown that the CA has infinitely many conserved quantities. Hence, this CA may be considered to be one of the simplest soliton systems.
| Original language | English |
|---|---|
| Pages (from-to) | 3514-3519 |
| Number of pages | 6 |
| Journal | journal of the physical society of japan |
| Volume | 59 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1990 Jan 1 |
| Externally published | Yes |
Keywords
- cellular automaton
- filter automaton
- solitary wave
- soliton
ASJC Scopus subject areas
- Physics and Astronomy(all)