Abstract:
We construct several types of Darboux transformations for the discrete Kadomtsev–Petviashvili equation with self-consistent sources (dKPwS) including the elementary Darboux transformation, the adjoint Darboux transformation, and the binary Darboux transformation. These Darboux transformations can be used to obtain some solutions of the dKPwS. We give some solutions explicitly.
Keywords:integrable system with self-consistent sources,
discrete Kadomtsev–Petviashvili equation, Darboux transformation,
Hirota equation, soliton solution.