A differential-difference Kadomtsev–Petviashvili family possesses a common Kac–Moody–Virasoro symmetry algebra

Starting from the Kac–Moody–Virasoro symmetry algebra of the differential-difference Kadomtsev–Petviashvili equation, a differential-difference Kadomtsev–Petviashvili family is constructed and the corresponding invariant solutions are obtained.