Construction of dKP and BKP equations with self-consistent sources.

A new procedure is firstly proposed to construct soliton equations with self-consistent sources (SESCSs) in bilinear forms, starting from the Gram-type determinant solution or Gram-type Pfaffian solution of soliton equations without sources; the soliton solutions of SESCSs can then be given. This procedure is applied to the 2D Toda lattice equation, the discrete KP equation and the BKP equation. [ABSTRACT FROM AUTHOR]