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

Author

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  • Saberi, Elaheh
  • Reza Hejazi, S.

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.

Suggested Citation

  • Saberi, Elaheh & Reza Hejazi, S., 2018. "Lie symmetry analysis, conservation laws and exact solutions of the time-fractional generalized Hirota–Satsuma coupled KdV system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 296-307.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:296-307
    DOI: 10.1016/j.physa.2017.09.092
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    Cited by:

    1. Stanislav Yu. Lukashchuk, 2022. "On the Property of Linear Autonomy for Symmetries of Fractional Differential Equations and Systems," Mathematics, MDPI, vol. 10(13), pages 1-17, July.
    2. Ali, Ahmad T. & Khater, Mostafa M.A. & Attia, Raghda A.M. & Abdel-Aty, Abdel-Haleem & Lu, Dianchen, 2020. "Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    3. Khalique, Chaudry Masood & Motsepa, Tanki, 2018. "Lie symmetries, group-invariant solutions and conservation laws of the Vasicek pricing equation of mathematical finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 871-879.

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