Lie symmetry analysis, conservation laws and exact solutions of the time-fractional generalized Hirota–Satsuma coupled KdV system

Elaheh Saberi and S. Reza Hejazi

Physica A: Statistical Mechanics and its Applications, 2018, vol. 492, issue C, 296-307

Abstract: 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.

Keywords: Fractional differential equation; Lie symmetry; Conservation laws; Exact solution (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:492:y:2018:i:c:p:296-307

DOI: 10.1016/j.physa.2017.09.092

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