Reductions of the Volterra and Toda chains
Abstract
We consider Volterra and Toda systems. Using certain algebraic relations, we construct a denumerable class of reductions of these differential-difference systems. The result is given by finite-dimensional systems with Bäcklund autotransformations.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- September 2000
- DOI:
- 10.1007/BF02550999
- arXiv:
- arXiv:nlin/0001066
- Bibcode:
- 2000TMP...124.1211S
- Keywords:
-
- Discrete Symmetry;
- Algebraic Relation;
- Toda Chain;
- Toda System;
- Differential Difference;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- LaTeX, 6 pages