A Comparative Study of Time Fractional Nonlinear Drinfeld-Sokolov-Wilson System via Modified Auxiliary Equation Method
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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Mdpi
Access Rights
info:eu-repo/semantics/openAccess
Abstract
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 b-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.
Description
Keywords
time fractional nonlinear Drinfeld-Sokolov-Wilson system, beta-fractional derivative, a new local fractional derivative, modified auxiliary equation method
Journal or Series
Fractal and Fractional
WoS Q Value
Q1
Scopus Q Value
Q1
Volume
7
Issue
9
