Lax matrices for a 1-parameter subfamily of van Diejen--Toda chains
Mathematical Physics
2020-01-08 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper, we construct Lax matrices for certain relativistic open Toda chains endowed with a one-sided 1-parameter boundary interaction. Built upon the Lax representation of the dynamics, an algebraic solution algorithm is also exhibited. To our best knowledge, this particular 1-parameter subfamily of van Diejen--Toda chains has not been analyzed in earlier literature.
Keywords
Cite
@article{arxiv.1909.05155,
title = {Lax matrices for a 1-parameter subfamily of van Diejen--Toda chains},
author = {B. G. Pusztai},
journal= {arXiv preprint arXiv:1909.05155},
year = {2020}
}
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34 pages