Fractional generalized Kuramoto-Sivashinsky equation: Formulation and solution

被引：5

作者：

Nazari-Golshan, Akbar ^{[1
]}

机构：

[1] Shahed Univ, Dept Phys, Tehran, Iran

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2019年 / 134卷 / 11期

关键词：

(G'/G)-EXPANSION METHOD; FOURIER-TRANSFORM; WAVES;

D O I：

10.1140/epjp/i2019-12948-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：8

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