The exact solitary and periodic wave solutions of the loaded nonlinear evolution equations via the functional variable method
Abstract
In this article, we investigated new traveling wave solutions for the loaded modified Korteweg-de Vries-Kadomtsev-Petviashvili equation via the functional variable method. The performance of this method is reliable and effective and gives the exact solitary and periodic wave solutions. All solutions of this equation have been examined and three-dimensional graphics of the obtained solutions have been drawn by using the Matlab program. The graphical representations of some obtained solutions are demonstrated to better understand their physical features, including bell-shaped solitary wave solutions, singular soliton solutions and solitary wave solutions of kink type. This method presents a wider applicability for handling nonlinear wave equations.