A Transplantation Method Exactly Solving the Generalized Variable Coefficients KP Equation

In this paper, we transplant the Jacobi elliptic function solutions of (1+1)-dimensional Korteweg-de Vries (KdV) equation to the generalized variable coefficients Kaolomtsev-Petviashvili (KP) system containing five variable coefficients, and successfully obtain nineteen groups of new exact solutions and solitary wave-like solutions about this KP equation. Then discuss the cases that the solitary wave-like solutions produce fraction and deformation with the change of time and boundary.