On the integrability of a new lattice equation

Abstract

We examine a lattice equation recently derived by one of us (CS) together with Heredero and Levi. We show that this equation has confined singularities, possesses integrable one- and two-dimensional reductions, can be bilinearized and possesses multisoliton solutions. All these arguments, together with the fact that, as shown in the initial publication, the equation has zero algebraic entropy, plead in favour of its integrable character.