Integrability of a differential-difference KP equation with self-consistent sources Original Research Article

We introduce a differential-difference KP equation with self-consistent sources (Dimage KPESCS) which is a generalization of the Dimage KP equation. The integrability of the differential-difference equation is shown through bilinear transformation method and Wronskian technique: it possesses N-soliton solution expressed in terms of Casorati determinants, bilinear Bäcklund transformation and Lax pairs.