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Conservation Laws and Exact Series Solution of Fractional-Order Hirota-Satsoma Coupled KdV system by Symmetry Analysis
  • Hemant Gandhi,
  • Amit Tomar,
  • Dimple Singh
Hemant Gandhi
Amity University AUH

Corresponding Author:hemantgandhi1977@gmail.com

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Amit Tomar
Amity University
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Dimple Singh
Amity University AUH
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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.
26 May 2021Submitted to Mathematical Methods in the Applied Sciences
27 May 2021Submission Checks Completed
27 May 2021Assigned to Editor
28 May 2021Reviewer(s) Assigned
07 Jul 2021Review(s) Completed, Editorial Evaluation Pending
07 Jul 2021Editorial Decision: Revise Minor
13 Jul 20211st Revision Received
13 Jul 2021Submission Checks Completed
13 Jul 2021Assigned to Editor
13 Jul 2021Review(s) Completed, Editorial Evaluation Pending
14 Jul 2021Editorial Decision: Accept