  In this paper, a variable coefficient Bilinear neural network method is
proposed to deal with the analytical solutions of variable coefficient
nonlinear partial differential equations. As an example, a
Kadomstev-Petviashvili equation with variable coefficients is investigated by
using the variable coefficient Bilinear neural network method. By establishing
"3-2-2-1" and "3-3-2-1" models respectively, rich analytical solutions of the
variable coefficient Kadomstev-Petviashvili equation are obtained. By choosing
some special values of the parameters, the dynamics properties are demonstrated
in some three-dimensional and density graphics.
