New Exact Solutions of Fractional Zakharov-Kuznetsov and Modified Zakharov-Kuznetsov Equations Using Fractional Sub-Equation Method

被引：36
作者：
Ray, S. Saha [1 ]
Sahoo, S. [1 ]
机构：
[1] Natl Inst Technol, Dept Math, Rourkela 769008, Orissa, India
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2015年 / 63卷 / 01期
关键词：
fractional sub-equation method; space-time fractional Zakharov Kuznetsov (ZK) equation; space-time fractional modified Zakharov Kuznetsov (mZK) equation; modified Riemann-Liouville derivative; Mittag-leffler function; STABILITY;
D O I：
10.1088/0253-6102/63/1/05
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 some nonlinear evolution equations in mathematical physics; namely the space-time fractional Zakharov-Kuznetsov (ZK) and modified Zakharov-Kuznetsov (mZK) equations by using fractional sub-equation method. As a result, new types of exact analytical solutions are obtained. The obtained results are shown graphically. Here the fractional derivative is described in the Jumarie's modified Riemann-Liouville sense.
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收藏
页码：25 / 30
页数：6
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