New approach to find exact solutions of time-fractional Kuramoto-Sivashinsky equation

被引：29
|
作者：
Sahoo, S. [1 ]
Ray, S. Saha [1 ]
机构：
[1] Natl Inst Technol, Dept Math, Rourkela 769008, India
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2015年 / 434卷
关键词：
Tanh method; Time-fractional Kuramoto-Sivashinsky equation; Modified Riemann-Liouville derivative; Fractional complex transform; SOLITARY WAVE SOLUTIONS;
D O I：
10.1016/j.physa.2015.04.018
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics, viz. time-fractional Kuramoto-Sivashinsky equation by a new proposed method via fractional complex transform. As a result, new types of exact analytical solutions are obtained. Here the fractional derivative is described in Jumarie's modified Riemann-Liouville sense. (C) 2015 Elsevier B.V. All rights reserved.
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页码：240 / 245
页数：6
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