THE COMPARATIVE REPORT ON DYNAMICAL ANALYSIS ABOUT FRACTIONAL NONLINEAR DRINFELD–SOKOLOV–WILSON SYSTEM

Xiao-Zhong Zhang, Muhammad Imran Asjad, Waqas Ali Faridi, Adil Jhangeer and Mustafa Inc
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Xiao-Zhong Zhang: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, P. R. China
Muhammad Imran Asjad: Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Waqas Ali Faridi: Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Adil Jhangeer: Department of Mathematics, Namal University, Talagang Road, Mianwali 42250, Pakistan
Mustafa Inc: Department of Computer Engineering, Biruni University, 34025 Istanbul, Turkey5Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey6Department of Medical Research, China Medical University Hospital, Taichung, Taiwan

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-15

Abstract: The new extended direct algebraic technique is used to attain the new exact solitary wave solutions of the nonlinear fractional couple Drinfeld–Sokolov–Wilson system (DSWS). This DSWS has a lot of applications in water waves, fluid mechanics, quantum mechanics, chemistry, and biology. This system is developed in the perspective of fractional theory of calculus, for this purpose Riemann–Liouville fractional derivative (RLFD), β-fractional differential operator and Atangana–Baleanu fractional derivative (ABFD) are utilized. The attained solutions contain some new families such as trigonometric functions, hyperbolic functions, rational functions, logarithmic functions, and exponential functions. The graphically analysis and comparison of solutions are plotted by taking appropriate values of the constant parameters to enhance the understanding of physical real-life phenomena. The approach is said to be compatible and effective as a scientific approach for the examination of the various spacetime fractional models in engineering and physics concerning real-life issues.

Keywords: DSWS; Solitary Waves Solutions; New Extended Direct Algebraic Method; Fractional-Order Derivative (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401387

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