On the modified <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mfrac> <mml:msup> <mml:mi>G</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:msup> <mml:mi>G</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:mfrac> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -expansion method for finding some analytical solutions of the traveling waves

Abstract

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.

Topics & Concepts