A Comparative Study of Time Fractional Nonlinear Drinfeld-Sokolov-Wilson System via Modified Auxiliary Equation Method
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
time fractional nonlinear Drinfeld-Sokolov-Wilson system, beta-fractional derivative, a new local fractional derivative, modified auxiliary equation method
Kaynak
Fractal and Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
7
Sayı
9
