Notes on “Soliton solutions by Darboux transformation and some reductions for a new Hamiltonian lattice hierarchy” [Phys. Scr. 82 (2010) 015008]

Abstract

We demonstrate that the Darboux transformation in the paper “Soliton solutions by Darboux transformation and some reductions for a new Hamiltonian lattice hierarchy” [Phys. Scr. 82 (2010) 015008] is incorrect, and establish a correct Darboux transformation. Keywords: Integrable lattice equation, Lax pair, Gauge transformation, Darboux transformation