Title: Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation,
Abstract: The paper presents two results. First it is shown how the discrete potential
modified KdV equation and its Lax pairs in matrix form arise from the
Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations
and binary Darboux transformations are derived for the discrete potential
modified KdV equation and it is shown how these may be used to construct exact
solutions.