Browsing by Author "Alam, Md Nur"

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An Analytical Technique for Solving New Computational Solutions of the Modified Zakharov-Kuznetsov Equation Arising in Electrical Engineering
(Shahid Chamran Univ Ahvaz, Iran, 2021) Islam, Shariful; Alam, Md Nur; Fayz-Al-Asad, Md; Tunc, Cemil
The modified (G'/G)-expansion method is an efficient method that has appeared in recent times for solving new computational solutions of nonlinear partial differential equations (NPDEs) arising in electrical engineering. This research has applied this process to seek novel computational results of the developed Zakharov-Kuznetsov (ZK) equation in electrical engineering. With 3D and contour graphical illustration, mathematical results explicitly exhibit the proposed algorithm's complete honesty and high performance.
Construction of Soliton and Multiple Soliton Solutions To the Longitudinal Wave Motion Equation in a Magneto-Electro Circular Rod and the Drinfeld-Sokolov Equation
(Univ Miskolc inst Math, 2020) Alam, Md Nur; Tunc, Cemil
The present paper implements the novel generalized (G'/G)-expansion approach in solving the most popular nonlinear wave equations such as the longitudinal wave motion equation in a magneto-electro-elastic circular rod and the Drinfeld-Sokolov-Wilson equation. In this regard, we investigate the method to obtain new type of wave solutions of the studied models. New exact wave solutions are derived in the structures such as singular bright solition, compaction, singular bright periodic wave solitions, singular dark solition and singular dark periodic wave solition solutions of the studied models by using the novel generalized (G'/G)-expansion scheme. To draw the physical aspect of the got results, the 2D, 3D surfaces as well as the relating the contour plot surfaces of some acquired results are performed. The obtained results can assist to illustrate the physical application of the examined models and other nonlinear physical models appearing in mathematical physics.
Constructions of the Optical Solitons and Other Solitons To the Conformable Fractional Zakharov-Kuznetsov Equation With Power Law Nonlinearity
(Taylor & Francis Ltd, 2020) Alam, Md Nur; Tunc, Cemil
The current research manifests kink wave answers, mixed singular optical solitons, the mixed dark-bright lump answer, the mixed dark-bright periodic wave answer, and periodic wave answers to the conformable fractional ZK model, including power law nonlinearity by plugging the revised -expansion process. The constraint requirements for the occurrence of substantial solitons are provided. Under the selection of proper values of a, b, n, t, lambda, mu and alpha, the 2D and 3D pictures to a few of the recorded answers are sketched. From our obtained solutions, we might decide that the investigated procedure is hugely muscular, sincere, and essential in rendering various new soliton solutions of distinct nonlinear conformable fractional evolution equations and accordingly, we shall bring it up in our future investigations.
Heat Transport Exploration of Free Convection Flow Inside Enclosure Having Vertical Wavy Walls
(Shahid Chamran Univ Ahvaz, Iran, 2021) Fayz-Al-Asadi, Md; Alam, Md Nur; Tunc, Cemil; Sarker, M. M. A.
This paper expresses a numerical study of flow features and heat transport inside enclosure. Governing equations will be discretized by finite-element process with a collected variable arrangement. The assumptions of the Grashof number (10(3) - 10(6)), aspect ratio (1.0 - 2.0), wave ratio (0.0 - 0.40) concerning a fluid with Pr = 0.71. Streamlines and isotherm lines are utilized to show the corresponding flow and thermal field inside a cavity. Global and local distributions Nusselt numbers are displayed for the before configuration. Finally, velocity and temperature profiles are displayed for some selected positions inside an enclosure for a better perception of the flow and thermal field.
Impact of Electronic States of Conical Shape of Indium Arsenide/Gallium Arsenide Semiconductor Quantum Dots
(Prairie View A & M Univ, dept Mathematics, 2021) Fayz-Al-Asad, Md; Al-Rumman, Md; Alam, Md Nur; Parvin, Salma; Tunc, Cemil
Semiconductor quantum dots (QDs) have unique atom-like properties. In this work, the electronic states of InAs quantum dot grown on a GaAs substrate has been studied. The analytical expressions of electron wave function for cone-like quantum dot on the semiconductor surface has been obtained and the governing eigen value equation has been solved, thereby obtaining the dependence of ground state energy on radius and height of the cone-shaped nano-dots. In addition, the energy of eigenvalues is computed for various length and thickness of the wetting layer (WL). We discovered that the eigen functions and energies are nearly associated with the GaAs potential.
The New Solitary Wave Structures for the (2
(Elsevier, 2020) Alam, Md Nur; Tunc, Cemil
The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation. Those solutions can explain through hyperbolic, trigonometric and rational func-tions. The graphical design makes the dynamics of the equations noticeable. Herein, the intended approach is simplistic, conventional, and convenient in implementing many solitary wave phenom-ena of several nonlinear fractional wave equations occurring in mathematical physics and engineer-ing as well. (C) 2020 The Authors. Published by Elsevier B.V. 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/).
New Solitary Wave Structures To the (2+1)-Dimensional Kd and Kp Equations With Spatio-Temporal Dispersion
(Elsevier, 2020) Alam, Md Nur; Tunc, Cemil
The present paper studies the novel generalized (G'/G)-expansion technique to two nonlinear evolution equations: The (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the (2 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation and acquires some new exact answers. The secured answers include a particular variety of solitary wave solutions, such as periodic, compaction, cuspon, kink, soliton, a bright periodic wave, Bell shape soliton, dark periodic wave and various kinds of soliton of the studied equation are achieved. These new particular kinds of solitary wave solutions will improve the earlier solutions and help us understand the physical meaning further and interpret the nonlinear generation of nonlinear wave equations of fluid in an elastic tube and liquid, including small bubbles and turbulence and the acoustic dust waves in dusty plasmas. Additionally, the studied approach could also be employed to obtain exact wave solutions for the other nonlinear evolution equations in applied sciences. (c) 2020 The Authors. Published by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
New Solitary Wave Structures To Time Fractional Biological Population Model
(Univ Prishtines, 2020) Alam, Md Nur; Aktar, Shamima; Tunc, Cemil
Nonlinear space -time-fractional models perform an important task in revealing the internal devices of complex phenomena in numerous areas of the real world. This article examined time-fractional biological population model and gained some new solitary wave structures through the modified (G'/G)-expansion method. Among these results, a few solutions are obtained for the initial time. Finally, we concluded that the examined approach in raise, notable in showing numerous solitary wave structures of various nonlinear space -time-fractional models following in biology, physics and engineering as well.