On the structure of the B\"acklund transformations for the relativistic lattices
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
The B\"acklund transformations for the relativistic lattices of the Toda type and their discrete analogues can be obtained as the composition of two duality transformations. The condition of invariance under this composition allows to distinguish effectively the integrable cases. Iterations of the B\"acklund transformations can be described in the terms of nonrelativistic lattices of the Toda type. Several multifield generalizations are presented.
Cite
@article{arxiv.nlin/0001072,
title = {On the structure of the B\"acklund transformations for the relativistic lattices},
author = {Vsevolod E. Adler},
journal= {arXiv preprint arXiv:nlin/0001072},
year = {2015}
}