The Soliton Solution of （3＋1）—Dimensional Kadomtsev—Petviashvili Equations

A simple algebraic transformation relation of a special type of solution between the (3+1)-dimensionalKadomtsev-petviashvili (KP) equation and the cubic nonlinear Klein Gordon equation (NKG) is established. Us-ing known solutions of the NKG equation, we can obtain many soliton solutions and periodic solution of the (3+1)-dimensional KP equation.