Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 409, Issue -, Pages 110-118Publisher
ELSEVIER
DOI: 10.1016/j.physa.2014.04.043
Keywords
Fractional Harry-Dym equation; Riemann-Liouville derivative; Lie symmetry; Optimal system; Group-invariant solution
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Funding
- National Natural Science Foundation of China [11101332, 11371293, 11201371]
- Foundation of Shaanxi Educational Committee, China [11JK0482]
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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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