Abstract
We present a class of solutions of the two-dimensional Toda lattice equation, its fully discrete analogue and its ultra-discrete limit. These solutions demonstrate the existence of soliton resonance and web-like structure in discrete integrable systems such as differential-difference equations, difference equations and cellular automata (ultra-discrete equations).
Original language | English |
---|---|
Pages (from-to) | 11819-11839 |
Number of pages | 21 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 37 |
Issue number | 49 |
DOIs | |
Publication status | Published - 2004 Dec 10 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)