Analysis of Lie symmetries with conservation laws for the (3+1) dimensional time-fractional mKdV–ZK equation in ion-acoustic waves

被引：0
作者：
S. Sahoo
S. Saha Ray
机构：
[1] National Institute of Technology,Department of Mathematics
来源：
Nonlinear Dynamics | 2017年 / 90卷
关键词：
(3+1) Dimensional time-fractional mKdV–ZK equation; Lie symmetries analysis; Erdélyi–Kober operator; New conservation law; Symmetry;
D O I：
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学科分类号：
摘要：
In this paper, symmetry properties and conservation laws of the (3+1) dimensional time-fractional modified KdV–Zakharov–Kuznetsov (mKdV–ZK) equation have been studied with Riemann–Liouville fractional derivative. Fractional Lie symmetry method has been used here for getting symmetry properties of (3+1) dimensional time-fractional mKdV–ZK equation. Here, the reduction of (3+1) dimensional time-fractional mKdV–ZK equation into fractional ordinary differential equation has been done by using Erdélyi–Kober fractional differential operator. Also, by using the new conservation theorem, the new conserved vectors for (3+1) dimensional time-fractional mKdV–ZK equation have been constructed with the help of formal Lagrangian with a detail derivation.
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页码：1105 / 1113
页数：8
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