Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 492, Issue -, Pages 296-307Publisher
ELSEVIER
DOI: 10.1016/j.physa.2017.09.092
Keywords
Fractional differential equation; Lie symmetry; Conservation laws; Exact solution
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In the present paper, Lie point symmetries of the time-fractional generalized Hirota Satsuma coupled KdV (HS-cKdV) system based on the Riemann-Liouville derivative are obtained. Using the derived Lie point symmetries, we obtain similarity reductions and conservation laws of the considered system. Finally, some analytic solutions are furnished by means of the invariant subspace method in the Caputo sense. (C) 2017 Elsevier B.V. All rights reserved.
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