On an integrable system related to the relativistic Toda lattice -Bäcklund transformation and integrable discretization

Abstract

We study an integrable system related to the relativistic Toda lattice. The bilinear representation of this lattice is given and the Bäckulund transformation obtained. A fully discrete version is also introduced with its bilinear Bäcklund transformation and Lax pair. One-soliton solution of the discrete system is presented by use of Bäcklund transformation.

12 pages,2 figures. Journal of Difference Equations and Applications,to be published