Yazar "A. Mohamed Abdel-Baset" seçeneğine göre listele

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    A new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cells
    (Springer Science and Business Media LLC, 2025-02-20) Loubna Ouahid; M. A. Abdou; Jameelah S. Al Shahrani; A. Mohamed Abdel-Baset; Ali Akgül; Murad Khan Hassani
    This article describes the developed Paul-Painlike method (PPM) to provide striking ODE of the nanosoliton of the ionic waves (NSIW) that spread the length of microtubules in live cells. Furthermore, Auxiliary Equation Approach (AEA) and Sardar Sub Equation Approach (SSEA) have been utilized similarly and concurrently to determine solutions for this particular model. In providing a physical explanation, various solitary wave structures are visually represented. These solutions include the anti-kink, kink shape, singular kink wave shape, and periodic bright, bright-dark and dark-singular soliton solution. Additionally, graphical illustrations (both 2-D and 3-D) demonstrate how the various parameters utilized affect the validity of analytical results. Furthermore, the uniqueness of the solutions we derived is highlighted by comparing the differences with earlier solutions of the model. The solutions produced may be beneficial in a number of significant investigations in medicine, as well as biology. The results demonstrate the effectiveness of the proposed techniques for determining many optical solitons of nonlinear evolution equations.
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    Abundant soliton solutions in saturated ferromagnetic materials modeled via the fractional Kraenkel–Manna–Merle system
    (Springer Science and Business Media LLC, 2025-02-25) Loubna Ouahid; Maryam Alshahrani; A. Mohamed Abdel-Baset; M. A. Abdou; Ali Akgül; Murad Khan Hassani
    The Modified Generalized Riccati Equation Mapping Technique is employed to discover novel solutions for the Fractional Kraenkel-Manna-Merle system. In this system, a nonlinear of ultra_short wave pulse propagates across saturated ferromagnetic-materials by very low conductance. The beta-derivative is used to analyze the fractional performance of the proposed system. Combo-multi soliton shape, anti-bell-shaped solitons, kink bright-dark shape are the results of the applications. The results obtained are original and unfamiliar to the reader, as they had not been published previously. For a few chosen solutions, two dimensional, and three dimensional are shown to offer important insights into the behavior and properties of the solutions. These detailed exact solutions and wave phenomena contribute to a deeper understanding of this equation. This work opens up new possibilities for exploring wave phenomena in more complexly structured nonlinear.