Eur. Phys. J. Plus (2019) 134: 565
https://doi.org/10.1140/epjp/i2019-12948-7

Regular Article

Fractional generalized Kuramoto-Sivashinsky equation: Formulation and solution

Physics Department, Shahed University, Tehran, Iran

^* e-mail: nazarigolshan@yahoo.com

Received: 7 June 2019
Accepted: 4 July 2019
Published online: 13 November 2019

Abstract

In this paper, the fractional generalized Kuramoto-Sivashinsky (FGKS) equation is derived using the semi-inverse technique. The FGKS equation is familiar and often occurs in nature. It can be used to describe traveling waves in dispersive media, such as plasma and porous media. An efficient modified -expansion method is presented to solve the FGKS equation. We investigate the effect of the space fractional parameter on the propagation of traveling waves. Our results show that the traveling wave shape can be modulated using the space fractional parameter.