Integrability of a differential-difference KP equation with self-consistent sources
We introduce a differential-difference KP equation with self-consistent sources (D Delta KPESCS) which is a generalization of the D Delta 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 Backlund transformation and Lax pairs. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
backlund transformation lax pair solitons differential-difference kp equation with sources