Based on work related to the R-matrix theory, we first abstract Lax pairs proposed by Blaszak and Sergyeyev into a unified form. Then, generalized zero-curvature equation expressed Poisson bracket is exhibited. As an application of this (2+1)-dimensional integrable system obtained, from which resulting Davey–Stewartson (DS) Pavlov (gPe) are further obtained. Via use nonisospectral zero-curvatur...