Abstract
Ultradiscrete soliton equations and Bäcklund transformation for a generalized soliton solution are presented. The equations include the ultradiscrete Korteweg-de Vries (KdV) equation or the ultradiscrete Toda equation in a special case. We also express the solution by the ultradiscrete permanent, which is defined by ultradiscretizing the signature-free determinant, that is, the permanent. Moreover, we discuss a relation between Bäcklund transformations for discrete and ultradiscrete KdV equations.
| Original language | English |
|---|---|
| Article number | 375202 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 43 |
| Issue number | 37 |
| DOIs | |
| Publication status | Published - 2010 Sept 17 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)