Lie Point Symmetry Analysis of the Harry-Dym Type Equation with Riemann-Liouville Fractional Derivative

被引：5
|
作者：
Li-zhen WANG [1 ,2 ]
Ding-jiang WANG [3 ]
Shou-feng SHEN [3 ]
Qing HUANG [1 ,2 ]
机构：
[1] Center for Nonlinear Studies, Northwest University
[2] Department of Mathematics, Northwest University
[3] Department of Applied Mathematics, Zhejiang University of Technology
来源：
Acta Mathematicae Applicatae Sinica | 2018年 / 34卷 / 03期
关键词：
Harry-Dym equation; symmetry group; optimal system; similarity reduction; group-invariant solution;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper, Lie point symmetry group of the Harry-Dym type equation with Riemann-Liouville fractional derivative is constructed. Then complete subgroup classification is obtained by means of the optimal system method. Finally, corresponding group-invariant solutions with reduced fractional ordinary differential equations are presented via similarity reductions.
引用
收藏
页码：469 / 477
页数：9
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