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 equation were rediscovered from the traveling waves.