Exact Solutions Of Three Kinds Of Soliton Equations With Self Consistent Sources From The B(?)cklund Transform

In this paper, we mainly use Hirota’s bilinear method and B(?)cklund transformation to seek new Wronskian solutions of three soliton equations with self-consistent sources. To start with mixed KP equation with self-consistent sources,we derived two kinds of the solution from a seed solution :(i) a solution with the same number of solitons but with different phase;(ii) a solution with the number of solitons increased by one. Next, we respectively derived new solutions of 2D Toda lattice equation with self-consistent sources and Leznov equation with self-consistent sources.