TheG′G-expansion method for (2 + 1)-dimensional Kadomtsev–Petviashvili equation

Abstract

In this work, we apply a new method to construct the travelling wave solutions involving parameters of the (2 + 1)-dimensional Kadomtsev-Petviashvili equation. When the parameters are taken special values, the solitary waves are derived from the travelling waves. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions.