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Symmetry Groups, Similarity Reductions, and Conservation Laws of the Time-Fractional Fujimoto–Watanabe Equation Using Lie Symmetry Analysis Method

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  • Baoyong Guo
  • Huanhe Dong
  • Yong Fang

Abstract

In this paper, the time-fractional Fujimoto–Watanabe equation is investigated using the Riemann–Liouville fractional derivative. Symmetry groups and similarity reductions are obtained by virtue of the Lie symmetry analysis approach. Meanwhile, the time-fractional Fujimoto–Watanabe equation is transformed into three kinds of reduced equations and the third of which is based on Erdélyi–Kober fractional integro-differential operators. Furthermore, the conservation laws are also acquired by Ibragimov’s theory.

Suggested Citation

  • Baoyong Guo & Huanhe Dong & Yong Fang, 2020. "Symmetry Groups, Similarity Reductions, and Conservation Laws of the Time-Fractional Fujimoto–Watanabe Equation Using Lie Symmetry Analysis Method," Complexity, Hindawi, vol. 2020, pages 1-9, March.
    • Handle: RePEc:hin:complx:4830684
    DOI: 10.1155/2020/4830684
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    Cited by:

    1. Uddin, M. Hafiz & Zaman, U.H.M. & Arefin, Mohammad Asif & Akbar, M. Ali, 2022. "Nonlinear dispersive wave propagation pattern in optical fiber system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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