Yazar "Ashraf, Romana" seçeneğine göre listele

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    Exact solutions of the (2+1)-dimensional Zoomeron model arising in nonlinear optics via mapping method
    (Springer, 2024) Akguel, Ali; Manzoor, Saliha; Ashraf, Farrah; Ashraf, Romana
    The Zoomeron model covers particular kinds of solitons with distinctive properties that appear in several physical scenarios, such as, fluid dynamics, nonlinear optics and laser physics. First time utilising the mapping method, we determine the analytical solution to the described model, including several novel dynamical behaviours. Through symbolic computation, we are able to derive the breather waves, kink waves, dark soliton, singular soliton, periodic soliton and bright soliton of this model. Additionally, we encounter single kink waves and single breather waves. We find novel hyperbolic trigonometric, rational and elliptic functions. Modelling our observations with MATLAB tools and producing many 3D graphs. The results obtained will be crucial for further research on complicated nonlinear models.
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    Soliton solutions for the (4
    (Elsevier, 2024) Ashraf, Romana; Amanat, Faiza; Ashraf, Farah; Owyed, Saud; Matoog, R. T.; Mahmoud, Mona; Akgul, Ali
    In this article, we determine various analytical solutions for the (4 + 1)-dimensional Fokas equation, a significant model in mathematical physics with numerous applications in nonlinear dynamics. Utilizing multiple integration techniques such as the improved F-expansion technique and the Jacobi elliptic function method, we retrieve an array of solution types, including traveling waves, periodic solutions, bell-shaped waves, rational functions, and both kink and anti-kink structures. We further explore the complex nature of these solutions through their graphical representations. By applying Maple, we visualize our results in threedimensional (3D), and two-dimensional (2D) formats to illustrate the dynamic behavior of these solutions across various parameters and initial conditions. Our findings provide deeper insights into the properties of the Fokas equation and offer a valuable reference for further studies in nonlinear wave phenomena.
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    Some new soliton solutions to the (3
    (Elsevier, 2023) Ashraf, Romana; Ashraf, Farrah; Akguel, Ali; Ashraf, Saher; Alshahrani, B.; Mahmoud, Mona; Weera, Wajaree
    In this article, The (3 + 1)-dimensional generalized Korteweg-de-Vries-Zakharov-Kuz netsov equation (gKdV-ZKe) which explains the influence of the magnetic field on the weak non-linear ion-acoustic waves investigated in the field of plasma conjured up including both cold and hot electrons. GKdV-zk techniques solutions are obtained using the improved modified extended tanh expansion method, which is one of the most efficient algebraic methods for obtaining accurate solu-tion to nonlinear partial differential equations. We aim to show how the analyzed model's param-eter impact soliton behavior by choosing different bright and single soliton forms and by developing various analytical optical soliton solutions for the explored equation.Methodology: In order to apply the suggested method, we used a complex wave transform to derive the nonlinear ordinary differential form of the analyzed equation. Then, using the method, we were able to obtain the polynomial form, leading to a set of linear equations. The conclusion of solving the linear equations problem, the outcomes of the analyzed model, and the suggested strat-egy are all included in different solution sets. After choosing the appropriate set from these sets, using the solution functions, and utilizing the wave transformation provided by the approach, we were able to arrive at the optical soliton solutions by providing the central equation.Finding: The proposed method has successfully produced a number of soliton solutions and sev-eral analytical optical solutions to such model. The research shows that the parameters of the model may have a variety of effects on the behavior of solitons, categories based on the soliton type. The findings we get in this article can be used to research and compare numerical and experimental data with analytical solving problems in plasma physics.Originality: This study differs from others in that it assessed the impact that parameters of the model have on the actions of solitons, despite the fact that the proposed technique was applied for the first time on the topic under investigation and numerous soliton types were created. This study focuses on the influence of model parameters on solitons behavior.(c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
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    Some new soliton solutions to the higher dimensional Burger-Huxley and Shallow water waves equation with couple of integration architectonic
    (Elsevier, 2022) Ashraf, Farrah; Javeed, Tehsina; Ashraf, Romana; Rana, Amina; Akgul, Ali; Rezapour, Shahram; Hafeez, Muhammad Bilal
    In this paper, we retrieve some traveling wave, periodic solutions, bell shaped, rational, kink and anti-kink type and Jacobi elliptic functions of Burger's equation and Shallow water wave equation with the aid of various integration schemes like improved F-expansion scheme and Jacobi elliptic function method respectively. We also present our solutions graphically in various dimensions.
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    The extended Fan's sub-equation method and its application to nonlinear Schrodinger equation with saturable nonlinearity
    (Elsevier, 2023) Ashraf, Romana; Hussain, Shabbir; Ashraf, Farrah; Akgul, Ali; El Din, Sayed M.
    This article discusses the saturable nonlinear Schrodinger equation, which is a key equation in the study of condensed matter physics, plasma physics, and nonlinear optics. This equation, which represents how electromagnetic waves behave in nonlinear media, is distinct because of its nonlinearity and dispersive properties. In this article, the extended Fan's sub equation method is used to construct novel solitary wave solutions of the saturable nonlinear Schrodinger equation. This method is a powerful tool for dealing with nonlinear partial differential equations and has been used to a wide range of problems in several branches of mathematics. According to the this method, the saturable nonlinear Schrodinger equation admits a wide range of exact solution families that rely on five parameters. These solutions include soliton-like solutions, which are localized waves that maintain their shape and speed over long distances, and triangular-type solutions, which have a triangular shape. The study also identifies single and combined non-degenerate Jacobi elliptic function like solutions. These solutions are a particular class of periodic function that appears in several branches of physics, including electromagnetism, quantum mechanics, and fluid dynamics. The obtained solutions are graphically represented by 3D, contour, and 2D graphs using MATLAB. The results of this article present novel perspectives on the saturable nonlinear Schrodinger equation and its possible applications in a different fields. These findings have important implications for nonlinear optics, the development of new optical devices, nonlinear optics, and related fields.
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    Traveling waves solutions of Hirota-Ramani equation by modified extended direct algebraic method and new extended direct algebraic method
    (World Scientific Publ Co Pte Ltd, 2024) Ashraf, Farrah; Ashraf, Romana; Akgul, Ali
    In this paper, new exact traveling wave solutions are obtained by Hirota-Ramani equation. The many exact complex solutions of several types of nonlinear partial differential equations (NPDEs) are presented using the modified extended direct algebraic approach and new extended direct algebraic method, which is among the most effective mathematical techniques for finding a precise solution to NPDEs and put into a framework of algebraic computation. By selecting different bright and solitary soliton forms and by creating various analytical optical soliton solutions for the investigated equation, we hope to demonstrate how the analyzed model's parameter impacts soliton behavior. It is possible to obtain new, complex solutions for nonlinear equations like the (1+1)-dimensional Hirota-Ramani equation.