DOAJ Open Access 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

Abstrak

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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>-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.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (5)

Ghazala Akram

Maasoomah Sadaf

Iqra Zainab

Muhammad Abbas

Ali Akgül

Format Sitasi

APA MLA BibTeX

Akram, G., Sadaf, M., Zainab, I., Abbas, M., Akgül, A. (2023). A Comparative Study of Time Fractional Nonlinear Drinfeld–Sokolov–Wilson System via Modified Auxiliary Equation Method. https://doi.org/10.3390/fractalfract7090665

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.3390/fractalfract7090665

Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.3390/fractalfract7090665
Akses: Open Access ✓