The direct algebraic method for the $(3+1)$-dimensional Kadomtsev-Petviashvili (KP) equation

Abstract

The direct algebraic method is an effective algebraic method for obtaining the exact solution of nonlinear partial differential equations. The method can be applied to nonintegrable equations as well as to integrable ones. In this paper,we look for the exact solution of the $(3+1)$-dimensional Kadomtsev-Petviashvili (KP) equation.