Traveling Wave Solutions of the Nonlinear (3+1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (G `/G, 1/G)-Expansion Method

The two variables (G'/G, 1/G)-expansion method is proposed in this paper to construct new exact traveling wave solutions with parameters of the nonlinear (3 + 1)-dimensional Kadomtsev-Petviashvili equation. This method can be considered as an extension of the basic (G'/G)-expansion method obtained recently by Wang et al. When the parameters are replaced by special values, the well-known solitary wave solutions and the trigonometric periodic solutions of this equationwere rediscovered from the traveling waves.