Fractal and Fractional (Sep 2023)

A Comparative Study of Time Fractional Nonlinear Drinfeld–Sokolov–Wilson System via Modified Auxiliary Equation Method

  • Ghazala Akram,
  • Maasoomah Sadaf,
  • Iqra Zainab,
  • Muhammad Abbas,
  • Ali Akgül

DOI
https://doi.org/10.3390/fractalfract7090665
Journal volume & issue
Vol. 7, no. 9
p. 665

Abstract

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The time-fractional nonlinear Drinfeld–Sokolov–Wilson system, which has significance in the study of traveling waves, shallow water waves, water dispersion, and fluid mechanics, is examined in the presented work. Analytic exact solutions of the system are produced using the modified auxiliary equation method. The fractional implications on the model are examined under β-fractional derivative and a new fractional local derivative. Extracted solutions include rational, trigonometric, and hyperbolic functions with dark, periodic, and kink solitons. Additionally, by specifying values for fractional parameters, graphs are utilized to comprehend the fractional effects on the obtained solutions.

Keywords