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Keywords = fractional MNW system

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19 pages, 653 KiB  
Article
Similarity Reductions, Power Series Solutions, and Conservation Laws of the Time-Fractional Mikhailov–Novikov–Wang System
by Xinxin Jiang and Lianzhong Li
Fractal Fract. 2023, 7(6), 457; https://doi.org/10.3390/fractalfract7060457 - 3 Jun 2023
Cited by 2 | Viewed by 1961
Abstract
The current study presents a comprehensive Lie symmetry analysis for the time-fractional Mikhailov–Novikov–Wang (MNW) system with the Riemann–Liouville fractional derivative. The corresponding simplified equations with the Erdélyi–Kober fractional derivative are constructed by group invariant solutions. Furthermore, we obtain explicit solutions with the help [...] Read more.
The current study presents a comprehensive Lie symmetry analysis for the time-fractional Mikhailov–Novikov–Wang (MNW) system with the Riemann–Liouville fractional derivative. The corresponding simplified equations with the Erdélyi–Kober fractional derivative are constructed by group invariant solutions. Furthermore, we obtain explicit solutions with the help of the power series method and show the dynamical behavior via evolutional figures. Finally, by means of Ibragimov’s new conservation theorem, the conservation laws are derived for the system. Full article
(This article belongs to the Special Issue Recent Advances in Time/Space-Fractional Evolution Equations)
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