Shahed University

Fractional generalized Kuramoto Sivashinsky equation: formulation and solution

Akbar Nazari-Golshan

Date :  2019/07/04
Publish in :    The European Physical Journal Plus

Keywords :modified G?/G-expansion method, traveling waves, generalized Kuramoto-Sivashinsky equation

Abstract :
In this paper, fractional generalized Kuramoto Sivashinsky (FGKS) equation is derived using the semi-inverse technique. The FGKS equation is familiar and often occur 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 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.