Application of the(G′G)-expansion method to (3 +1)-dimensional nonlinear evolution equations

Abstract

In this paper, the (G′G)-expansion method is employed to solve the (3 +1)-dimensional Kadomtsev–Petviashvili (KP) equation, the (3 +1)-dimensional potential-YTSF equation and the (3 +1)-dimensional Jimbo–Miwa (JM) equation. Exact traveling wave solutions are obtained. The traveling wave solutions are expressed in terms of hyperbolic functions, the trigonometric functions and the rational functions.