Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Article Citation - WoS: 13Citation - Scopus: 17Nonautonomous 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, DumitruThis 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: 15Citation - Scopus: 23Optical 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, AbdullahiThe 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: 21Citation - Scopus: 17Families of Optical Soliton Solutions for the Nonlinear Hirota-Schrodinger Equation(Springer, 2022) Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; Ibrahim, SalisuThis 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: 18Citation - Scopus: 16Extended 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, AbdullahiThis 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: 30Citation - Scopus: 33Breather 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, AbdullahiThe 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: 15Citation - Scopus: 19Optical 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, ImadWe 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: 13Citation - Scopus: 17Nonautonomous Lump-Periodic and Analytical Solutions Tothe (3+1)-Dimensional Generalized Kadomtsev-Petviashviliequation(Springer, 2023) Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; Alquran, MarwanThis 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: 51Citation - Scopus: 61Lie Symmetry Analysis and Explicit Solutions for the Time Fractional Generalized Burgers-Huxley Equation(Springer, 2018) Yusuf, Abdullahi; Aliyu, Aliyu Isa; Baleanu, Dumitru; Inc, MustafaIn this work, we study the time fractional generalized Burgers-Huxley equation with Riemann-Liouville derivative via Lie symmetry analysis and power series expansion method. We transform the governing equation to nonlinear ordinary differential equation of fractional order using its Lie point symmetries. In the reduced equation, the derivative is in Erdelyi-Kober sense. We apply power series technique to derive explicit solutions for the reduced equation. The convergence of the obtained power series solutions are also derived. Some interesting Figures for the obtained solutions are presented.Article Citation - WoS: 17Citation - Scopus: 19Fractional Optical Solitons for the Conformable Space-Time Nonlinear Schrodinger Equation With Kerr Law Nonlinearity(Springer, 2018) Yusuf, Abdullahi; Aliyu, Aliyu Isa; Baleanu, Dumitru; Inc, MustafaIn this work, we obtain new soliton solutions for the conformable space-time nonlinear Schrodinger equation (CSTNLSE) with Kerr law nonlinearity. Two integration schemes which are projective Ricatti and extended Jacobi elliptic function methods are applied to reach such solutions. The constraints conditions for the existence of soliton solutions are reported. Numerical simulations for some of the obtained solutions are presented.Article Citation - WoS: 66Citation - Scopus: 63Soliton Solutions and Stability Analysis for Some Conformable Nonlinear Partial Differential Equations in Mathematical Physics(Springer, 2018) Yusuf, Abdullahi; Aliyu, Aliyu Isa; Baleanu, Dumitru; Inc, MustafaThis research presents soliton solutions and stability analysis to some conformable nonlinear partial differential equations (CNPDEs). The CNPDEs equations in this paper are conformable Cahn-Allen and conformable Zoomeron equations. The powerful sine-Gordon method is used to carry out the soliton solutions for these equations. The aspects of stability analysis for the considered equations is investigated using the linear stability technique. The sine-Gordon method proves to be efficient and effective for the extraction of soliton solutions for different types of CNPDEs.