Open AccessExact traveling wave solutions of Kadomtsev–Petviashvili equation
Author(s) -
Kamruzzaman Khan,
M. Ali Akbar
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.03.010
Subject(s) - mathematics , hyperbolic function , trigonometric functions , maple , traveling wave , rational function , function (biology) , trigonometry , mathematical analysis , kadomtsev–petviashvili equation , nonlinear system , partial differential equation , characteristic equation , physics , geometry , botany , quantum mechanics , evolutionary biology , biology
In this paper, the exp(−Φ(ξ))-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