Combined formal periodic wave-like and soliton-like solutions of the conformable Schrödinger-KdV equation using the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si7.svg"> <mml:mfenced open="(" close=")"> <mml:mrow> <mml:mrow> <mml:msup> <mml:mi>G</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo stretchy="false">/</mml:mo> <mml:mi>G</mml:mi> </mml:mrow> </mml:mrow> </mml:mfenced> </mml:math> -expansion technique

Abstract

In this work, using the G′/G-expansion technique, we derive traveling wave solutions of the conformable version of the Schrödinger-KdV equation. These solutions are obtained with the aid of the conformable derivative. The graphical representation and the comparison of our solutions with those presents in the literature is done. It follows from this comparison that our solutions are new. These results may help to get a good comprehension on some nonlinear phenomena observed in dusty plasma.

Topics & Concepts