Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Yusuf, AbdullahiScopus Q: search.filters.scopusQuartile.Q2

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Now showing 1 - 10 of 28
  • Article
    Citation - WoS: 15
    Citation - Scopus: 18
    Wave Propagation To the Doubly Dispersive Equation and the Improved Boussinesq Equation
    (Springer, 2024) Ibrahim, Salisu; 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.
  • Article
    Citation - WoS: 16
    Citation - Scopus: 15
    Fractional Hyper-Chaotic System With Complex Dynamics and High Sensitivity: Applications in Engineering
    (World Scientific Publ Co Pte Ltd, 2024) Yusuf, Abdullahi; Alshomrani, Ali S. S.; Sulaiman, Tukur Abdulkadir; Baleanu, Dumitru; Partohaghighi, Mohammad
    Hyper-chaotic systems have useful applications in engineering applications due to their complex dynamics and high sensitivity. This research is supposed to introduce and analyze a new noninteger hyper-chaotic system. To design its fractional model, we consider the Caputo fractional operator. To obtain the approximate solutions of the extracted system under the considered fractional-order derivative, we employ an accurate nonstandard finite difference (NSFD) algorithm. Moreover, the existence and uniqueness of the solutions are provided using the theory of fixed-point. Also, to see the performance of the utilized numerical scheme, we choose different values of fractional orders along with various amounts of the initial conditions (ICs). Graphs of solutions for each case are provided.
  • Article
    Citation - WoS: 15
    Citation - Scopus: 23
    Optical Solitons With Nonlinear Dispersion in Parabolic Law Medium and Three-Component Coupled Nonlinear Schrodinger Equation
    (Springer, 2022) Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Baleanu, Dumitru; Yusuf, Abdullahi
    The current study looks at two different nonlinear Schrodinger equations. These equations have several applications in science and engineering, such as nonlinear fiber optics, electromagnetic field waves, and signal processing via optical fibers. In this study, we investigate these equations using an efficient integration strategy known as complex envelop antazs. As a result, we obtain novel solutions such as bright, dark, and combined dark-bright soliton solutions. Important physical aspects have been depicted in three dimensions and contour plots for clear interpretation of the acquired solutions.
  • Article
    Citation - WoS: 22
    Citation - Scopus: 22
    Lump Collision Phenomena To a Nonlinear Physical Model in Coastal Engineering
    (Mdpi, 2022) Yusuf, Abdullahi; Alshomrani, Ali Saleh; Baleanu, Dumitru; Sulaiman, Tukur Abdulkadir
    In this study, a dimensionally nonlinear evolution equation, which is the integrable shallow water wave-like equation, is investigated utilizing the Hirota bilinear approach. Lump solutions are achieved by its bilinear form and are essential solutions to various kind of nonlinear equations. It has not yet been explored due to its vital physical significant in various field of nonlinear science. In order to establish some more interaction solutions with some novel physical features, we establish collision aspects between lumps and other solutions by using trigonometric, hyperbolic, and exponential functions. The obtained novel types of results for the governing equation includes lump-periodic, two wave, and breather wave solutions. Meanwhile, the figures for these results are graphed. The propagation features of the derived results are depicted. The results reveal that the appropriate physical quantities and attributes of nonlinear waves are related to the parameter values.
  • Article
    Citation - WoS: 21
    Citation - Scopus: 17
    Families of Optical Soliton Solutions for the Nonlinear Hirota-Schrodinger Equation
    (Springer, 2022) Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; Ibrahim, Salisu
    This work employs a novel variation of the Sardar sub-equation approach to investigate the optical solitons for the nonlinear Hirota-Schrodinger equation. Different soliton solutions, including bright solitons, dark solitons, singular solitons, combined bright-singular solitons, periodic, exponential, and rational solutions are derived along with nonlinear models. The obtained solitons solutions are crucial to mathematics, physics, science, and engineering.
  • Article
    Citation - WoS: 18
    Citation - Scopus: 16
    Extended Classical Optical Solitons To a Nonlinear Schrodinger Equation Expressing the Resonant Nonlinear Light Propagation Through Isolated Flaws in Optical Waveguides
    (Springer, 2022) Alshomrani, Ali S.; Sulaiman, Tukur A.; Isah, Ibrahim; Baleanu, Dumitru; Yusuf, Abdullahi
    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.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 9
    Wave Solutions To the More General (2+1)-Dimensional Boussinesq Equation Arising in Ocean Engineering
    (World Scientific Publ Co Pte Ltd, 2023) Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; Sulaiman, Tukur A.
    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.
  • Article
    Citation - WoS: 15
    Citation - Scopus: 19
    Optical Wave Propagation To a Nonlinear Phenomenon With Pulses in Optical Fiber
    (Springer, 2023) Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Yusuf, Abdullahi; Alquran, Marwan; Baleanu, Dumitru; Jaradat, Imad
    We examine the three-component coupled nonlinear Schrodinger equation that is used for the propagation of pulses to the nonlinear optical fiber. Multi-component NLSE equations have gained popularity because they can be used to demonstrate a vast array of complex observable systems as well as more kinetic patterns of localized wave solutions. The solutions are obtained by using the generalized exponential rational function method, a relatively new integration tool. We extract various optical solitons in different forms. Moreover, exponential, periodic solutions and solutions of the hyperbolic type are guaranteed. In addition to providing previously extracted solutions, the used approach also extracts new exact solutions and is beneficial for elucidating nonlinear partial differential equations. The graphs of different shapes are sketched for the attained solutions and some physical properties- are raised. The reported solutions in this work are new as they are compared to earlier similar studies. The results of this paper show that the used method is effective at improving the nonlinear dynamical behavior of a system. The findings show that the computational approach taken is successful, simple, and applicable even to complicated phenomena.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 8
    Numerical Simulation of the Fractional Diffusion Equation
    (World Scientific Publ Co Pte Ltd, 2023) Yusuf, Abdullahi; Jarad, Fahd; Sulaiman, Tukur A.; Alquran, Marwan; Partohaghighi, Mohammad
    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.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 6
    Propagation of Diverse Ultrashort Pulses in Optical Fiber To Triki-Biswas Equation and Its Modulation Instability Analysis
    (World Scientific Publ Co Pte Ltd, 2021) Yusuf, Abdullahi; Yusuf, Bashir; Baleanu, Dumitru; Sulaiman, Tukur Abdulkadir
    This paper presents the modulation instability (MI) analysis and the different types of optical soliton solutions of the Triki-Biswas model equation. The aforesaid model equation is the generalization of the derivative nonlinear Schrodinger equation which describes the ultrashort pulse propagation with non-Kerr dispersion. The study is carried out by means of a novel efficient integration scheme. During this work, a sequence of optical solitons is produced that may have an important in optical fiber systems. The results show that the studied model hypothetically has incredibly rich optical soliton solutions. The constraint conditions for valid soliton solutions are also reported. The gained results show that the applied method is efficient, powerful and can be applied to various complex models with the help of representative calculations.