Abstract
We propose a new type of multi-soliton solution to the box and ball system which is a completely discrete soliton system. The solution follows a form of ultradiscretized permanent which is defined by a signature-free determinant. Moreover, we show the solution is equivalent to a known type of solution and give a direct proof of solution.
| Original language | English |
|---|---|
| Article number | 104007 |
| Journal | journal of the physical society of japan |
| Volume | 76 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2007 Oct 1 |
Keywords
- Bilinear equation
- Box and ball system
- Permanent
- Soliton
- Ultradiscrete
ASJC Scopus subject areas
- Physics and Astronomy(all)