Bell Polynomials to the Kadomtsev-Petviashivili Equation with Self-Consistent Sources

Abstract

Bell Polynomials play an important role in the characterization of bilinear equation. Bell Polynomials are extended to construct the bilinear form, bilinear Bäcklund transformation and Lax pairs for the Kadomtsev-Petviashvili equation with self-consistent sources.