期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 409, 期 -, 页码 110-118出版社
ELSEVIER
DOI: 10.1016/j.physa.2014.04.043
关键词
Fractional Harry-Dym equation; Riemann-Liouville derivative; Lie symmetry; Optimal system; Group-invariant solution
资金
- National Natural Science Foundation of China [11101332, 11371293, 11201371]
- Foundation of Shaanxi Educational Committee, China [11JK0482]
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.
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