Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative
Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative
复制标题
具有黎曼-刘维尔导数的时间分数式 Harry-Dym 方程的对称性和精确解
DOI：
10.1016/j.physa.2014.04.043
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发表时间：
2014-09-01
影响因子：
3.3
通讯作者：
Zhdanov, Renat
中科院分区：
文献类型：
--
作者：
Huang, Qing;Zhdanov, Renat
本文对具有Riemann-Liouville导数的时间分数阶Harry-Dym方程进行了群分析。确定了其李氏最大对称群及其子群的最优系统。对所研究的方程进行相似性约简。由此推导出了分数阶常微分方程的简化形式，并得到了一些显式的群不变解。(C) 2014 Elsevier B.V.版权所有
In this paper, group analysis of the time fractional Harry-Dym equation with Riemann-Liouville derivative is performed. Its maximal symmetry group in Lie's sense and the corresponding optimal system of subgroups are determined. Similarity reductions of the equation under study are performed. As a result, the reduced fractional ordinary differential equations are deduced, and some group invariant solutions in explicit form are obtained as well. (C) 2014 Elsevier B.V. All rights reserved.