A 2 + 1 non-isospectral integrable lattice hierarchy related to a generalized discrete second Painlevé hierarchy

In this article, by considering a 2 + 1 dimensional discrete non-isospectral linear problem, a new 2 + 1 dimensional integrable lattice hierarchy is constructed. It is shown that a generalization of the discrete second Painlevé hierarchy can be obtained as a reduction. Other reductions include new 1 + 1 dimensional integrable lattice hierarchies.