Browsing by Author "Arefin, Mohammad Asif"

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Citation - WoS: 21
Citation - Scopus: 24
Explicit wave phenomena to the couple type fractional order nonlinear evolution equations
(Elsevier, 2021) Khatun, M. Ayesha; Arefin, Mohammad Asif; Uddin, M. Hafiz; Baleanu, Dumitru; Akbar, M. Ali; Inc, Mustafa; 56389; Matematik
We utilize the fractional modified Riemann-Liouville derivative in the sense to develop careful arrangements of space-time fractional coupled Boussinesq equation which emerges in genuine applications, for instance, nonlinear framework waves iron sound waves in plasma and in vibrations in nonlinear string and space-time fractional-coupled Boussinesq Burger equation that emerges in the investigation of liquids stream in a dynamic framework and depicts engendering of shallow-water waves. A decent comprehension of its solutions is exceptionally useful for beachfront and engineers to apply the nonlinear water wave model to the harbor and seaside plans. A summed-up partial complex transformation is correctly used to change this equation to a standard differential equation thus, many precise logical arrangements are acquired with all the free parameters. At this point, the traveling wave arrangements are articulated by hyperbolic functions, trigonometric functions, and rational functions, if these free parameters are considered as specific values. We obtain kink wave solution, periodic solutions, singular kink type solution, and anti-kink type solutions which are shown in 3D and contour plots. The presentation of the method is dependable and important and gives even more new broad accurate arrangements.
Citation - WoS: 25
Citation - Scopus: 29
Inelastic soliton wave solutions with different geometrical structures to fractional order nonlinear evolution equations
(Elsevier, 2022) Adel, M.; Baleanu, Dumitru; Sadiya, Umme; Arefin, Mohammad Asif; Uddin, M. Hafiz; Elamin, Mahjoub A.; Osman, M. S.; 56389; Matematik
The general time fractional Burger- Fisher (TF-BF) and the space-time regularized long-wave (STF-RLW) equations are considered as examples of gravitational water waves in cold plasma as well as so many areas. The above equations are used in nonlinear science and engineering to study long waves in seas and harbors that travel in just one direction. First, the two equations are transformed to ODEs by applying a fractional complex transform along with characteristics of confirmable fractional derivative (CFD). Then, the extended tanh-function (ETF) approach is investigated to find a variety of analytical solutions with different geometrical wave structures the mentioned models. The results are in the form of kink, one-, two-, multiple-solitons solutions, and other types sketched in 2D, 3D, and contour patterns.