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\begin{document}

\title{Conservation Laws and Exact Series Solution of Fractional-Order
Hirota-Satsoma Coupled KdV system by Symmetry Analysis}



\author[1]{Hemant  Gandhi}%
\author[2]{Amit Tomar}%
\author[1]{Dimple  Singh}%
\affil[1]{Amity University AUH}%
\affil[2]{Amity University}%


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  \date{May 25, 2024}


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\begin{abstract}
In this work, we investigated the invariance analysis of
fractional-order Hirota-Satsoma 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's-Kober
(EK) fractional differential and integral operators. The reduced system
of FODEs solved by means of the power series technique with its
convergence. The conservation laws of the system constructed by
Noether's theorem.%
\end{abstract}%



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