Abstract
A box-ball system with more than one kind of ball is obtained by the generalized periodic discrete Toda equation (pd Toda equation). We present an algebraic geometric study of the periodic Toda equation. The time evolution of the pd Toda equation is linearized on the Picard group of an algebraic variety, and theta function solutions are obtained.
| Original language | English |
|---|---|
| Article number | 115201 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 41 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2008 Mar 21 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)