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

[摘要] 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.

[学科分类] 应用数学