Traveling wave solutions of the nonlinear (3 + 1) -dimensional kadomtsev-petviashvili equation using the two variables (G ′ / G, 1 / G) -expansion method

Abstract

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. © 2012 E. M. E. Zayed et al.