Lax pairs and conservation laws for two differential-difference systems

A coupled extended Lotka–Volterra lattice and a special Toda lattice are derived from the existing bilinear equations. Starting from the corresponding bilinear Bäcklund transformation, Lax pairs for these two differential-difference systems are obtained. Furthermore, an infinite number of conservation laws for the differential-difference equations are deduced from the Lax pairs in a systematic way.