Yazar "Rehman, Hamood Ur" 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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    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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    New soliton solutions of the 2D-chiral nonlinear Schrodinger equation using two integration schemes
    (Wiley, 2021) Rehman, Hamood Ur; Imran, Muhammad Asjad; Bibi, Musarat; Riaz, Maham; Akgul, Ali
    In this paper, the new exact solutions for 2D-chiral nonlinear Schrodinger equation (CNLSE) are acquired using two proficient integration tool, namely, the new extended direct algebraic method (EDAM) and extended hyperbolic function method (EHFM). We develop soliton and some other solutions by utilizing the particular values for the parameters involved in these methods. These methods are devoted to secure different kinds of new soliton solutions as well as trigonometric and hyperbolic function solutions. Furthermore, for the physical representation of the obtained solutions of the CNLSE, various 2D and 3D graphs are presented.
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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.
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    Soliton solutions of space-time fractional Zoomeron differential equation
    (Inderscience Enterprises Ltd, 2023) Rehman, Hamood Ur; Asjad, Muhammad Imran; Iqbal, Ifrah; Akgul, Ali
    In the present work, Sardar subequation method (SSM) is exerted for seeking exact solutions of (2 + 1)-dimensional space-time fractional Zoomeron equation (FZE) in terms of conformable derivative (CD). The conformable derivative has much more capability than Riemann-Liouville and caputo derivative in solving the nonlinear fractional differential equation. The proposed method is extremely simple and very effective for finding exact solutions and then extracting solitons for the model. Bright, dark, singular, periodic singular and bright-dark hybrid soliton solutions are retrieved. Appropriate constraints are chosen for the obtained solitons to guarantee their existence. Moreover, from some obtained solutions, we draw its two-dimensional, contour and three-dimensional graphs by taking suitable values of parameters and then compare these graphs by changing the values of conformable derivative.