Lie Symmetry Analysis and Explicit Solutions for the Time-Fractional Regularized Long-Wave Equation

Nisrine Maarouf, Hicham Maadan and Khalid Hilal

International Journal of Differential Equations, 2021, vol. 2021, 1-11

Abstract:

This paper systematically investigates the Lie group analysis method of the time-fractional regularized long-wave (RLW) equation with Riemann–Liouville fractional derivative. The vector fields and similarity reductions of the time-fractional (RLW) equation are obtained. It is shown that the governing equation can be transformed into a fractional ordinary differential equation with a new independent variable, where the fractional derivatives are in Erdèlyi–Kober sense. Furthermore, the explicit analytic solutions of the time-fractional (RLW) equation are obtained using the power series expansion method. Finally, some graphical features were presented to give a visual interpretation of the solutions.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:6614231

DOI: 10.1155/2021/6614231

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