Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

Browse

Filters

2017 - 2019602020 - 202418

Settings

Author: search.filters.author.Yusuf, AbdullahiCOAR Access Rights: search.filters.coarAccessRights.metadata only access

Search Results

Now showing 1 - 10 of 78
  • Article
    Citation - WoS: 19
    Families of Exact Solutions of Biswas-Milovic Equation by an Exponential Rational Function Method
    (Tbilisi Centre Math Sci, 2020) Ghanbari, Behzad; Baleanu, Dumitru; Inc, Mustfa; Yusuf, Abdullahi; Baleanu, Dumitru; Bayram, Mustafa; Matematik
    In this paper, we introduce generalized exponential rational function method (GERFM) to obtain an exact solutions for the Biswas-Milovic (BM) equation with quadratic-cubic and parabolic nonlinearities. A wide range of closed solutions are acquired. The most important feature of the new method is that it is very effective and simple. The main merits of the proposed is that it gives more general solutions with some free parameters and can be applied to other types of nonlinear partial differential equations.Some interesting Figures for the physical features of some of the obtained solutions are also presented.
  • Article
    Citation - WoS: 7
    Analysis O a Caputo Hiv and Malaria Co-Infection Epidemic Model
    (Chiang Mai Univ, Fac Science, 2021) Ahmed, Idris; Jarad, Fahd; Yusuf, Abdullahi; Sani, Musbahu Aminu; Jarad, Fahd; Kumam, Wiyada; Thounthong, Phatiphat; Matematik
    In this paper, we investigate a fractional-order compartmental HIV and Malaria co-infection epidemic model using the Caputo derivative. The existence and uniqueness of the solution to the proposed fractional-order model were investigated using fixed point theorem techniques. To demonstrate that the proposed fractional-order model is both mathematically and epidemiologically well-posed, we compute the model's positivity and boundedness, which is an important feature in epidemiology. Finally, we analyze the dynamic behavior of each of the state variables using a recent and powerful computational technique known as the fractional Euler method.
  • Article
    Citation - WoS: 13
    Citation - Scopus: 17
    Nonautonomous lump-periodic and analytical solutions tothe (3+1)-dimensional generalized Kadomtsev-Petviashviliequation
    (Springer, 2023) Alquran, Marwan; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru
    This work establishes the lump periodic and exact traveling wave solutions for the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation. We use the Hirota bilinear method, as well as the robust integration techniques tanh-coth expansion and rational sine-cosine, to provide such innovative solutions. In order to explain specific physical difficulties, innovative lump periodic and analytical solutions have been investigated. These discoveries have been proven to be useful in the transmission of long-wave and high-power communications networks. It is important to highlight that the results given in thiswork depict new features and reflect previously unknown physical dynamics for the governing model.
  • 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: 69
    Citation - Scopus: 69
    Optical Solitons and Modulation Instability Analysis of an Integrable Model of (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation
    (Academic Press Ltd- Elsevier Science Ltd, 2017) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, Mustafa
    This paper addresses the nonlinear Schrbdinger type equation (NLSE) in (2+1)-dimensions which describes the nonlinear spin dynamics of Heisenberg ferromagnetic spin chains (HFSC) with anisotropic and bilinear interactions in the semiclassical limit. Two integration schemes are employed to study the equation. These are the complex envelope function ansatz and the generalized tanh methods. Dark, dark-bright or combined optical and singular soliton solutions of the equation are derived. Furthermore, the modulational instability (MI) is studied based on the standard linear-stability analysis and the MI gain is got. Numerical simulation of the obtained results are analyzed with interesting figures showing the physical meaning of the solutions. (C) 2017 Elsevier Ltd. All rights reserved.
  • 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: 30
    Citation - Scopus: 33
    Breather and Lump-Periodic Wave Solutions To a System of Nonlinear Wave Model Arising in Fluid Mechanics
    (Springer, 2022) Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Baleanu, Dumitru; Yusuf, Abdullahi
    The breather wave and lump periodic wave solutions for the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada system are established in this paper. To achieve such novel solutions, we employ the Hirota bilinear approach. The novel breather and lump periodic solutions have been researched to explain unique physical challenges. These breakthroughs have been demonstrated to be advantageous in the transmission of long-wave and high-power communications networks. The circumstances of the existence of these solutions are described in detail.
  • 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.