Traveling wave solutions of the nonlinear \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation using the two variables \((G/G, 1/G)\)-expansion method
Summary: The two variables \((G'/G, 1/G)\)-expansion method is proposed 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 \textit{M. Wang, X. Li} and \textit{J. Zhang} [Phys. Lett., A 372, No.~4, 417--423 (2008; Zbl 1217.76023)]. 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.
two variables \((G'/G, 1/G)\)-expansion method
nonlinear \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation
scientific article; zbMATH DE number 6106246
scientific article