Abstract
The main goal of the paper is to obtain invariance analysis of fractional‐order Hirota–Satsuma‐coupled Korteveg–de Vries (HSC‐KdV) system of equations based on Riemann–Liouville (RL) derivatives. The Lie symmetry analysis is considered to obtain infinitesimal generators; we reduced the system of coupled equations into nonlinear fractional ordinary differential equations (FODEs) with the help of Erdelyi–Kober (EK) fractional differential and integral operators. The reduced system of FODEs was solved by means of power series technique with its convergence. The conservation laws of the system were constructed by the Noether's theorem.
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