用改进的辅助方程方法对时间分数阶非线性Drinfeld–Sokolov–Wilson系统的比较研究

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2023-09-03 DOI:10.3390/fractalfract7090665

G. Akram, Maasoomah Sadaf, Iqra Zainab, Muhammad Abbas, Ali Akgül

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引用次数: 0

摘要

时间分数阶非线性Drinfeld-Sokolov-Wilson系统在行波、浅水波、水色散和流体力学的研究中具有重要意义。采用改进的辅助方程法得到了系统的解析精确解。在β-分数阶导数和一个新的分数阶局部导数下，对模型的分数意义进行了检验。提取的解包括有理函数、三角函数和带有暗孤子、周期孤子和扭结孤子的双曲函数。此外，通过指定分数参数的值，可以利用图来理解分数对得到的解的影响。

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

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.

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来源期刊

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.