Browsing by Author "Sulaiman, Tukur Abdulkadir"

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Citation Count: Yusuf, Abdullahi;...et.al. (2022). "Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics", Nonlinear Dynamics, Vol.110, No.4, pp.3655-3669.
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics
(2022) Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
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.
Citation Count: Ibrahim, Salisu;...et.al. (2022). "Families of optical soliton solutions for the nonlinear Hirota-Schrodinger equation", Optical and Quantum Electronics, Vol.54, No.11.
Families of optical soliton solutions for the nonlinear Hirota-Schrodinger equation
(2022) Ibrahim, Salisu; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
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.
Citation Count: Partohaghighi, Mohammad...et al. "Fractional hyper-chaotic system with complex dynamics and high sensitivity: Applications in engineering", International Journal of Modern Physics B, Vol. 38, No. 1.
Fractional hyper-chaotic system with complex dynamics and high sensitivity: Applications in engineering
(2024) Partohaghighi, Mohammad; Yusuf, Abdullahi; Alshomrani, Ali S.; Sulaiman, Tukur Abdulkadir; Baleanu, Dumitru; 56389
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. © World Scientific Publishing Company.
Citation Count: Sulaiman, Tukur Abdulkadir;...et.al. (2022). "Lump Collision Phenomena to a Nonlinear Physical Model in Coastal Engineering", Mathematics, Vol.10, No.15.
Lump Collision Phenomena to a Nonlinear Physical Model in Coastal Engineering
(2022) Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali Saleh; Baleanu, Dumitru; 56389
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.
Citation Count: Yusuf, Abdullahi...et al. (2021). "Lump, its interaction phenomena and conservation laws to a nonlinear mathematical model", Journal of Ocean Engineering and Science.
Lump, its interaction phenomena and conservation laws to a nonlinear mathematical model
(2021) Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Hincal, Evren; Baleanu, Dumitru; 56389
We solve the Ostrovsky equation in the absence of the rotation effect using the Hirota bilinear method and symbolic calculation. Some unique interaction phenomena have been obtained between lump solution, breather wave, periodic wave, kink soliton, and two-wave solutions. All the obtained solutions are validated by putting them into the original problem using the Wolfram Mathematica 12. The physical characteristics of the solutions have been visually represented to shed additional light on the acquired results. Furthermore, using the novel conservation theory, the conserved vectors of the governing equation have been generated. The discovered results are helpful in understanding particular physical phenomena in fluid dynamics as well as the dynamics of nonlinear higher dimensional wave fields in computational physics and ocean engineering and related disciplines. © 2021
Citation Count: Alquran, Marwan;...et.al. (2023). "Nonautonomous lump-periodic and analytical solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation", Nonlinear Dynamics, Vol.111, No.12, pp.11429-11436.
Nonautonomous lump-periodic and analytical solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation
(2023) Alquran, Marwan; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
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 this work depict new features and reflect previously unknown physical dynamics for the governing model.
Citation Count: Alquran, Marwan...et al. (2023). "Nonautonomous lump-periodic and analytical solutions tothe (3+1)-dimensional generalized Kadomtsev-Petviashviliequation", NONLINEAR DYNAMICS, Vol. 111, No. 12, pp. 11429-11436.
Nonautonomous lump-periodic and analytical solutions tothe (3+1)-dimensional generalized Kadomtsev-Petviashviliequation
(2023) Alquran, Marwan; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
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.
Citation Count: Yusuf, Abdullahi;...et.al. (2022). "Optical solitons with nonlinear dispersion in parabolic law medium and three-component coupled nonlinear Schrödinger equation", Optical and Quantum Electronics, Vol.54, No.6.
Optical solitons with nonlinear dispersion in parabolic law medium and three-component coupled nonlinear Schrödinger equation
(2022) Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
The current study looks at two different nonlinear Schrödinger 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.
Citation Count: Jaradat, Imad;...et.al. (2023). "Optical wave propagation to a nonlinear phenomenon with pulses in optical fiber", Optical and Quantum Electronics, Vol.55, no.4.
Optical wave propagation to a nonlinear phenomenon with pulses in optical fiber
(2023) Jaradat, Imad; Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Yusuf, Abdullahi; Alquran, Marwan; Baleanu, Dumitru; 56389
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.
Citation Count: Sulaiman, Tukur Abdulkadir...et al. (2021). "Propagation of diverse ultrashort pulses in optical fiber to Triki-Biswas equation and its modulation instability analysis", Modern Physics Letters B, Vol. 35, No. 33.
Propagation of diverse ultrashort pulses in optical fiber to Triki-Biswas equation and its modulation instability analysis
(2021) Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Yusuf, Bashir; Baleanu, Dumitru; 56389
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 Schrödinger 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. © 2021 World Scientific Publishing Company.
Citation Count: Sulaiman, Tukur Abdulkadir...et al. (2022). "Two-wave, breather wave solutions and stability analysis to the (2+1)-dimensional Ito equation", JOURNAL OF OCEAN ENGINEERING AND SCIENCE, Vol. 7, No. 5, pp. 467-474.
Two-wave, breather wave solutions and stability analysis to the (2+1)-dimensional Ito equation
(2022) Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Hincal, Evren; Baleanu, Dumitru; Bayram, Mustafa; 56389
The current study employs the novel Hirota bilinear scheme to investigate the nonlinear model. Thus, we acquire some two-wave and breather wave solutions to the governing equation. Breathers are pulsating localized structures that have been used to mimic extreme waves in a variety of nonlinear dispersive media with a narrow banded starting process. Several recent investigations, on the other hand, imply that breathers can survive in more complex habitats, such as random seas, despite the attributed phys-ical restrictions. The authenticity and genuineness of all the acquired solutions agreed with the original equation. In order to shed more light on these novel solutions, we plot the 3-dimensional and contour graphs to the reported solutions with some suitable values. The governing model is also stable because of the idea of linear stability. The study's findings may help explain the physics behind some of the chal-lenges facing ocean engineers.(c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )