Yazar "Ullah, Naeem" seçeneğine göre listele

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    Construction of optical solitons of Radhakrishnan-Kundu-Lakshmanan equation in birefringent fibers
    (Walter De Gruyter Gmbh, 2022) Ullah, Naeem; Asjad, Muhammad Imran; Rehman, Hamood Ur; Akgul, Ali
    In this article, we are attracted to discover the multiple-optical soiltons in birefringent fibers for Radhakrishnan-Kundu-Lakshmanan equation (RKLE) by applying the Sardar-subequation method (SSM) and the new extended hyperbolic function method (EHFM). We construct the solutions in the form of exponential, trigonometric, and hyperbolic functions solitons solutions like mixed complex solitons and multiple-optical solitons solutions. In addition, singular periodic wave solutions are constructed, and the restraint conditions for the presence of soliton solutions are also defined. Moreover, the physical interpretation of the obtained solutions is disclosed in forms of 3D and 2D plots for different suitable parameters. The attained results indicate that the implemented computational scheme is straight, proficient, and brief and can be applied in more complex phenomena with the associate of representative computations. We have obtained several sorts of new solutions.
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    Dynamical analysis of solitons solutions of a nonlinear model with anti-cubic nonlinearity and Sardar-subequaion method
    (Inderscience Enterprises Ltd, 2024) Asjad, Muhammad Imran; Ullah, Naeem; Akgul, Ali
    In this study, our aim is to construct optical solitons for magneto-optic waveguides with anti-cubic nonlinearity. We would like to obtain the solutions in the form of hyperbolic and trigonometric functions solutions. We applied the Sardar-subequation method. The obtained results show that this technique is very active and efficient. The obtained solutions interpreted the wide-ranging diversity of solitons solutions. All obtained solutions are novel and unique from the stated results in literature. The acquired results are demonstrated by 3D and 2D plots to understand the real phenomena for such type of nonlinear models.
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    Exact solutions of (2+1)-dimensional Schrodinger's hyperbolic equation using different techniques
    (Wiley, 2023) Rehman, Hamood Ur; Imran, Muhammad Asjad; Ullah, Naeem; Akgul, Ali
    In this paper, we derive new optical soliton solutions to (2 + 1)-dimensional Schrodinger's hyperbolic equation using extended direct algebraic method and new extended hyperbolic function method. New acquired solutions have the form of bright, dark, combined dark-bright, singular, and combined bright-singular solitons solutions. These solutions reveal that our techniques are straightforward and dynamic. The solutions are also demonstrated through 3-d and 2-d plots to make clear the physical structures for such kind of model. The obtained results illustrate the power of the present method to determine soliton solution of nonlinear evolution equations.
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    Exact solutions of convective-diffusive Cahn-Hilliard equation using extended direct algebraic method
    (Wiley, 2023) Rehman, Hamood Ur; Ullah, Naeem; Asjad, Muhammad Imran; Akgul, Ali
    In this paper, we apply the extended direct algebraic method to examine the soliton solutions as well as hyperbolic and trigonometric functions solutions of convective-diffusive Cahn-Hilliard equation describing the dynamic of separation phase for ternary iron alloys of (Fe - Cr - Mo) and (Fe - X - Cu). The outcomes reveal that our technique is very dynamic and straightforward. It is observed that the obtained exact solutions of this model are new in the literature. Moreover, various 2D and 3D graphs of the obtained solutions are presented to examine the physical understanding of the obtained results.
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    Micropolar (copper-water) nanofluid flow past a stretching sheet with nanosized particles shape impact
    (Taylor & Francis Inc, 2024) Rashid, Umair; Ullah, Naeem; Akgul, Ali; Lu, Dianchen; Ul Rahman, Jamshaid
    Nanosized particles can be administered via distinct routes involving intraperitoneal and intravenous injection, pulmonary inhalation, and oral administration. Nanosized particles have been advanced as efficient target-specific strategies for the treatment of cancer, acting as agents and also acting as nanocarriers. Over the last few years, various kinds of nanosized particles have been developed based on several components involving silica oxides, nanocrystals, carbon, metal oxides, polymers, quantum dots, lipids, and dendrimers, together with enhancing a variety of newly developed materials. The focus of this study is to analyze the effect of dissimilar shapes of nano-sized particles on fluid flow past a stretching surface that is permeable. For this purpose, a micropolar nanofluid with a base fluid of water is considered. Both spherical (sphere) and nonspherical (lamina)-shaped nanoparticles of copper are used to study the enhancement of thermal conductivity. The highly complex governing partial differential equations of the problem are converted into ODEs via similarity transformations. The converted ODEs are tackled with the help of the homotopy analysis method. Our study shows that the performance of nonspherical(lamina) nanoparticles is better than spherical(sphere) nanoparticles in the disturbance of fluid motion, microrotation, and energy.
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    Novel waves structures for two nonlinear partial differential equations arising in the nonlinear optics via Sardar-subequation method
    (Elsevier, 2023) Ullah, Naeem; Asjad, Muhammad Imran; Hussanan, Abid; Akgul, Ali; Alharbi, Wedad R.; Algarni, H.; Yahia, I. S.
    In this paper, our aim is to construct the novel wave structures for two non-linear evo-lution equations which are rising in non-linear optics, mathematical biological models, fluid dynam-ics, waves theory, mechanics, quantum mechanics, and many more. We employed an efficient analytical technique namely, the Sardar-subequation method to build the wave solutions for the modified Benjamin-Bona-Mahony equation and the Coupled Klein-Gordon equations. We have built the numerous type of soliton wave structures of modified Benjamin-Bona-Mahony equation and the Coupled Klein-Gordon equations via the Sardar-subequation method. Acquired results reveal the dynamics behavior of waves structures including the bright, singular, dark, and periodic singular solitons solutions. To illustrate the behavior of these solutions some selected solutions are sketched in two-, and three-dimensional graphs. On the basis of these results, our technique is suit-able, up-to-date, and powerful. The obtained solutions are very efficacious and influential in non-linear optics, mathematical biology, mechanics, fluid mechanics, plasma physics, and many more. This study will assist to predict some new hypothesis and theories in the field of mathematical physics. (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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    On solutions of the Newell-Whitehead-Segel equation and Zeldovich equation
    (Wiley, 2021) Rehman, Hamood Ur; Imran, Muhammad Asjad; Ullah, Naeem; Akgul, Ali
    In this study, we present new solutions of Newel-Whitehead-Segel and Zeldovich equations via the new extended direct algebraic method (EDAM) by taking the special values to involved parameters in the method. The novel exact and soliton solutions are extracted in form of generalized trigonometric and hyperbolic functions. These acquired results reveal the supremacy of the new EDAM. For more illustration of our retrieved solutions, some distinct kinds of 2D and 3D graphs are presented.
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    Optical Solitons of Two Non-linear Models in Birefringent Fibres Using Extended Direct Algebraic Method
    (Springer, 2021) Rehman, Hamood Ur; Ullah, Naeem; Imran, Muhammad Asjad; Akgül, Ali
    In this study, we build novel optical soliton solutions of parabolic law and non-local law nonlinearities in birefringent fibers by using new extended direct algebraic method. New acquired solutions are in form of singular, periodic-singular, dark, bright, combined dark-bright, combined dark-singular optical solitons. These solutions expose that our technique is reliable, straightforward and dynamic. Some of the obtained solutions are demonstrated through 3-d and 2-d plots to make clear the physical structures for such kind of models. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.