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

2015/02/10 by Vinet, Luc, Yu, Guo-Fu, Zhang, Ying-Nan
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.1502.02752

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.

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