Some (3+1)-dimensional KP Equations With Self-consistent Source

The main aim of the present paper is mainly focused on applying Hirota bilinear method to the (3+1)-dimensional KP equation. First, by introducing logarithm transformation, the nonlinear equations are transformed into bilinear forms. Secondly, we construct and solve the (3+1)-dimensional KP equa-tion with self-consistent source, the new type and mixed type (3+1)-dimensional KP equation with self-consistent source by applying the source generation procedure and give the Backlund transformation for the (3+1)-dimensional KP equation.