Abstract
•The modified (G′G2)-expanstion method has been implemented for getting new traveling wave solutions for the Kadomtsev-Petviashvili-modified equal width (KP-MEW) equation, the coupled Drinfel’d- Sokolov-Wilson (DSW) equation, and the Benjamin-Ono (BO) equation.•The solutions are obtained in trigonometric, hyperbolic and rational forms.•The obtained solutions are new comparing to the solutions by other methods in the literature.•Some figures are given to show the properties of the solutions.
This work investigates three nonlinear equations that describe waves on the oceans which are the Kadomtsev Petviashvili-modified equal width (KP-MEW) equation, the coupled Drinfel’d-Sokolov-Wilson (DSW) equation, and the Benjamin-Ono (BO) equation using the modified (G′G2)-expansion approach. The solutions of proposed equations by modified (G′G2)-expansion approach can be trigonometric, hyperbolic, or rational solutions. As a result, some new exact solutions are obtained and plotted.