On a class of toda chains
The main result of this paper is a list of integrable generalizations of the classical and relativistic Toda chains. This list includes three new types in addition to the well-known chains. Each of them defines a Bäcklund transformation for an NSE-type system. The classification is carried out with the help of a simple symmetry test.
Unable to display preview. Download preview PDF.
- 4.R. I. Yamilov,Usp. Mat. Nauk,38, No. 6, 155 (1983).Google Scholar
- 5.R. I. Yamilov, “Classification of Toda-type scalar lattices,” in:Nonlinear Evolution Equations and Dynamical Systems, World Scientific, Singapore (1993), pp. 423.Google Scholar
- 8.S. N. M. Ruijsenaars, “Relativistic Toda system,” Preprint, Stichting Center for Mathematics and Computer Sciences, Amsterdam (1986).Google Scholar