Lax matrices for a 1-parameter subfamily of van Diejen--Toda chains
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.
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