Recursion Operator Of The N-reduced Discrete KP Hierarchy

In this paper,we study the associated problem of the KP hierarchy and discrete KP(dKP) hierarchy. We derived a general expression of the discrete KP(dKP) hierarchy's flow equation. The shift operator A is the distinct difference between dKP hierarchy and classic KP hierarchy in this expression. Further we show a recursion expression for the flow equation of the N-reduced dKP hierarchy.