A NOTE ON 'NEW HIERARCHIES OF INTEGRABLE LATTICE EQUATIONS AND ASSOCIATED PROPERTIES: DARBOUX TRANSFORMATION CONSERVATION LAWS AND INTEGRABLE COUPLING' [REP MATH. PHYS. 67 (2011), 259]

摘要

We prove that two new hierarchies of integrable lattice equations in [Rep. Math. Phys. 67 (2011), 259] can be respectively changed into the famous relativistic Toda lattice hierarchies in the polynomial and the rational forms by means of a simple transformation.