Exact traveling wave solutions of Kadomtsev–Petviashvili equation

Document Type : Original Article

Authors

1 Department of Mathematics, Pabna University of Science and Technology, Pabna 6600, Bangladesh

2 Department of Applied Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh

Abstract

In this paper, the exp(U(n))-expansion method with the aid of Maple has been used to
obtain the exact solutions of the Kadomtsev–Petviashvili (KP) equation. Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions and rational function
solutions, contain an explicit function of the variables in the considered equation. It has been shown
that the method provides a powerful mathematical tool for solving nonlinear wave equations in
mathematical physics and engineering problems.

Keywords