On an integrable system related to the relativistic Toda lattice -B\"acklund transformation and integrable discretization
Exactly Solvable and Integrable Systems
2015-02-11 v1
Abstract
We study an integrable system related to the relativistic Toda lattice. The bilinear representation of this lattice is given and the B\"ackulund transformation obtained. A fully discrete version is also introduced with its bilinear B\"acklund transformation and Lax pair. One-soliton solution of the discrete system is presented by use of B\"acklund transformation.
Keywords
Cite
@article{arxiv.1502.02752,
title = {On an integrable system related to the relativistic Toda lattice -B\"acklund transformation and integrable discretization},
author = {Luc Vinet and Guo-Fu Yu and Ying-Nan Zhang},
journal= {arXiv preprint arXiv:1502.02752},
year = {2015}
}
Comments
12 pages,2 figures. Journal of Difference Equations and Applications,to be published