Browsing by Author "Sulaiman, Tukur A."

Now showing 1 - 4 of 4

Citation - WoS: 17
Citation - Scopus: 15
Extended classical optical solitons to a nonlinear Schrodinger equation expressing the resonant nonlinear light propagation through isolated flaws in optical waveguides
(Springer, 2022) Yusuf, Abdullahi; Baleanu, Dumitru; Alshomrani, Ali S.; Sulaiman, Tukur A.; Isah, Ibrahim; Baleanu, Dumitru; 56389
This study establishes the extended classical optical solitons for a nonlinear Schrodinger equation describing resonant nonlinear light propagation through isolated flaws in optical wave guides. We use the modified Sardar sub-equation approach to get such innovative results. The innovative optical solitons solutions have been investigated to explain unique physical obstacles, and they entail an extended classical M-truncated derivative, which affects the physical properties of the findings greatly. These advancements have been shown to be beneficial in the transmission of long-wave and high-power communications networks. Furthermore, the figures for the acquired solutions are graphed through the depiction of the 3D and contour plots in order to throw additional light on the peculiarities of the obtained solutions.
Citation - WoS: 6
Citation - Scopus: 8
Numerical simulation of the fractional diffusion equation
(World Scientific Publ Co Pte Ltd, 2023) Partohaghighi, Mohammad; Jarad, Fahd; Yusuf, Abdullahi; Jarad, Fahd; Sulaiman, Tukur A.; Alquran, Marwan; 234808
During this paper, a specific type of fractal-fractional diffusion equation is presented by employing the fractal-fractional operator. We present a reliable and accurate operational matrix approach using shifted Chebyshev cardinal functions to solve the considered problem. Also, an operational matrix for the considered derivative is obtained from basic functions. To solve the introduced problem, we convert the main equation into an algebraic system by extracting the operational matrix methods. Graphs of exact and approximate solutions along with error graphs are presented. These figures show how the introduced approach is reliable and accurate. Also, tables are established to illustrate the values of solutions and errors. Finally, a comparison of the solutions at a specific time is given for each test problem.
Citation - WoS: 12
Citation - Scopus: 15
Wave Propagation To the Doubly Dispersive Equation and the Improved Boussinesq Equation
(Springer, 2024) Baleanu, Dumitru; Sulaiman, Tukur A.; Yusuf, Abdullahi; Ozsahin, Dilber Uzun; Baleanu, Dumitru
In this paper, we examine the optical solitons for the nonlinear doubly dispersive equation and the modified Boussinesq equation, which explain the flow of shallow water in a small-amplitude surface system. We realize a variety of solitons using the Sardar sub-equation approach, including bright solitons, dark solitons, singular solitons, mixed bright-singular solitons, periodic, exponential, and rational solutions. The generated optical solutions can be used to simulate water waves and the free movement of a fluid surface, both of which are important in computing models of nonlinear partial differential equations in science, engineering, and mathematical physics. For the physical interpretation of the data, the well-known symbolic software Mathematica 12 was employed.
Citation - WoS: 3
Citation - Scopus: 8
Wave solutions to the more general (2 + 1) -dimensional Boussinesq equation arising in ocean engineering
(World Scientific Publ Co Pte Ltd, 2023) Sulaiman, Tukur A.; Baleanu, Dumitru; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
The novel wave profiles for the more general (2+1)-dimensional Boussinesq equation are established in this paper. To get such outstanding results, we employ the potent Sardar sub-equation technique. The recognized explanations for several physical difficulties have been studied. These technological advancements have been proven to be helpful for the transmission of long-wave and high-power communications networks. The circumstances that gave rise to the emergence of these solutions are described in detail. The physical characteristics of the governing equation have been depicted in contour plots and three dimensions.