Browsing by Author "Seadawy, Aly R."

Now showing 1 - 17 of 17

Citation Count: Ali, Asghar; Seadawy, Aly R.; Baleanu, Dumitru (2020). "Analytical mathematical schemes: Circular rod grounded via transverse Poisson's effect and extensive wave propagation on the surface of water", Open Physics, Vol. 18, No. 1, pp. 545-554.
Analytical mathematical schemes: Circular rod grounded via transverse Poisson's effect and extensive wave propagation on the surface of water
(2020) Ali, Asghar; Seadawy, Aly R.; Baleanu, Dumitru; 56389
This article scrutinizes the efficacy of analytical mathematical schemes, improved simple equation and exp(-Psi(xi))-expansion techniques for solving the well-known nonlinear partial differential equations. A longitudinal wave model is used for the description of the dispersion in the circular rod grounded via transverse Poisson's effect; similarly, the Boussinesq equation is used for extensive wave propagation on the surface of water. Many other such types of equations are also solved with these techniques. Hence, our methods appear easier and faster via symbolic computation.
Citation Count: Alam, Md Nur; Seadawy, Aly R.; Baleanu, Dumitru (2020). "Closed-form solutions to the solitary wave equation in an unmagnatized dusty plasma", Alexandria Engineering Journal, Vol. 59, No. 3, pp. 1505-1514.
Closed-form solutions to the solitary wave equation in an unmagnatized dusty plasma
(2020) Alam, Md Nur; Seadawy, Aly R.; Baleanu, Dumitru; 56389
The research of unmagnetized dusty plasmas is extremely amiable as long as theoretical aspects and their applicability. They are an outstanding mechanism for generating exact solitary waves and solitons. The present article examines the KdV-Burgers type equation in an unmagnetized dusty plasma and the Kadomtsev-Petviashvili dynamical equation in unmagnetized dust plasma. We present the modified (G'/G)-expansion process to secure few exact solitary wave answers. The acquired outcomes confirm that the studied method is an outspoken and useful analytical device for NLEEs in mathematical physics. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
Citation Count: Alam, Md Nur; Seadawy, Aly R.; Baleanu, Dumitru (2020). "Closed-form wave structures of the space-time fractional Hirota-Satsuma coupled KdV equation with nonlinear physical phenomena", Open Physics, Vol. 18, No. 1, pp. 555-565.
Closed-form wave structures of the space-time fractional Hirota-Satsuma coupled KdV equation with nonlinear physical phenomena
(2020) Alam, Md Nur; Seadawy, Aly R.; Baleanu, Dumitru; 56389
The present paper applies the variation of (G'/G)-expansion method on the space-time fractional Hirota-Satsuma coupled KdV equation with applications in physics. We employ the new approach to receive some closed form wave solutions for any nonlinear fractional ordinary differential equations. First, the fractional derivatives in this research are manifested in terms of Riemann-Liouville derivative. A complex fractional transformation is applied to transform the fractional-order ordinary and partial differential equation into the integer order ordinary differential equation. The reduced equations are then solved by the method. Some novel and more comprehensive solutions of these equations are successfully constructed. Besides, the intended approach is simplistic, conventional, and able to significantly reduce the size of computational work associated with other existing methods.
Citation Count: Barman, Hemonta Kumar...et al. (2020). "Competent closed form soliton solutions to the Riemann wave equation and the Novikov-Veselov equation", Results in Physics, Vol. 17.
Competent closed form soliton solutions to the Riemann wave equation and the Novikov-Veselov equation
(2020) Barman, Hemonta Kumar; Seadawy, Aly R.; Akbar, M. Ali; Baleanu, Dumitru; 56389
The Riemann wave equation and the Novikov-Veselov equation are interesting nonlinear equations in the sphere of tidal and tsunami waves in ocean, river, ion and magneto-sound waves in plasmas, electromagnetic waves in transmission lines, homogeneous and stationary media etc. In this article, the generalized Kudryashov method is executed to demonstrate the applicability and effectiveness to extract travelling and solitary wave solutions of higher order nonlinear evolution equations (NLEEs) via the earlier stated equations. The technique is enucleated to extract solitary wave solutions in terms of trigonometric, hyperbolic and exponential function. We acquire bell shape soliton, consolidated bell shape soliton, compacton, singular kink soliton, flat kink shape soliton, smooth singular soliton and other types of soliton solutions by setting particular values of the embodied parameters. For the precision of the result, the solutions are graphically illustrated in 3D and 2D. The analytic solutions greatly facilitate the verification of numerical solvers on the stability analysis of the solution.
Citation Count: Seadawy, Aly R.; Iqbal, Mujahid; Baleanu, Dumitru (2020). "Construction of traveling and solitary wave solutions for wave propagation in nonlinear low-pass electrical transmission lines", Journal of King Saud University Science, Vol. 32, No. 6, pp. 2752-2761.
Construction of traveling and solitary wave solutions for wave propagation in nonlinear low-pass electrical transmission lines
(2020) Seadawy, Aly R.; Iqbal, Mujahid; Baleanu, Dumitru; 56389
In this study, our aim to constructed the traveling and solitary wave solutions for nonlinear evolution equation describe the wave propagation in nonlinear low-pass electrical transmission lines by implemented the modification of mathematical method. We obtained the new and more general solutions in rational, trigonometric, hyperbolic type which represent to kink and anti-kink wave solitons, bright-dark solitons and traveling waves. The physical interpretation of some results demonstrated by graphically with symbolic computation. We are hopefully determined results have numerous applications in optical fiber, geophysics, fluid dynamics, laser optics, engineering, and many other various kinds of applied sciences. The complete investigation prove that proposed technique is more reliable, efficient, straightforward, and powerful to investigate various kinds of nonlinear evolution equations involves in geophysics, fluid dynamics, nonlinear plasma, chemistry, biology, and field of engineering. (C) 2020 The Author(s). Published by Elsevier B.V. on behalf of King Saud University.
Citation Count: Seadawy, Aly R...et al. (2021). "Dispersive analytical wave solutions of the strain waves equation in microstructured solids and Lax' fifth-order dynamical systems", Physica Scripta, Vol. 96, No. 10.
Dispersive analytical wave solutions of the strain waves equation in microstructured solids and Lax' fifth-order dynamical systems
(2021) Seadawy, Aly R.; Ali, Asghar; Baleanu, Dumitru; Althobaiti, Saad; Alkafafy, Mohamed; 56389
In this manuscript, with the prosperously implementation of two mathematical techniques, several types solitary waves solution of the micro-structured solids wave and the Lax' fifth-order (Lax5) equations are successfully and investigated with the aid of the mathematical software of Mathematica. These schemes namely called ameliorated form of simple equation and modified F-expansion methods. By substituting the diverse values to the parameters, variants wave results are discovered from exact peregrinating wave solution. Some solutions have been exemplified by graphical to understand the physical phenomena of the micro-structured solids wave and the Lax' fifth-order (Lax5) models. The accomplished solutions seem with all essential constraint conditions, which are obligatory for them to subsist. Hence our techniques via fortification of symbolic computations provide an active and potent mathematical implement for solving diverse benevolent nonlinear wave problems.
Citation Count: Rizvi, S.T.R...et al. (2020). "Lump and Interaction solutions of a geophysical Korteweg–de Vries equation", Results in Physics, Vol. 19.
Lump and Interaction solutions of a geophysical Korteweg–de Vries equation
(2020) Rizvi, S.T.R.; Seadawy, Aly R.; Ashraf, F.; Younis, M.; Iqbal, H.; Baleanu, Dumitru; 56389
This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic solutions (which is formed by interaction between periodic waves and lump) and lump–kink-periodic solutions (which is formed by interaction of periodic waves and lump with one kink soliton). The dynamics of these solution are examined graphically by selecting significant parameters. © 2020 The Authors
Citation Count: Seadawy, Aly R...et al. (2021). "Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation", Open Physics, Vol. 19, No. 1, pp. 1-10.
Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation
(2021) Seadawy, Aly R.; Rizvi, Syed Tahir Raza; Ahmad, Sarfraz; Younis, Muhammad; Baleanu, Dumitru; 56389
The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field. By choosing the function f in Hirota bilinear form, as the general quadratic function, trigonometric function and exponential function along with appropriate set of parameters, we find the lump, lump-one stripe, multiwave and breather solutions successfully. We also interpreted some three-dimensional and contour profiles to anticipate the wave dynamics. These newly obtained solutions have some arbitrary constants and so can be applicable to explain diversity in qualitative features of wave phenomena. © 2021 Aly R. Seadawy et al.
Citation Count: Hosseini, K...et al. (2020). "Multiwave, multicomplexiton, and positive multicomplexiton solutions to a (3 + 1)-dimensional generalized breaking soliton equation", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 3473-3479.
Multiwave, multicomplexiton, and positive multicomplexiton solutions to a (3 + 1)-dimensional generalized breaking soliton equation
(2020) Hosseini, K.; Seadawy, Aly R.; Mirzazadeh, M.; Eslami, M.; Radmehr, S.; Baleanu, Dumitru; 56389
There are a lot of physical phenomena which their mathematical models are decided by nonlinear evolution (NLE) equations. Our concern in the present work is to study a special type of NLE equations called the (3 + 1)-dimensional generalized breaking soliton (3D-GBS) equation. To this end, the linear superposition (LS) method along with a series of specific techniques are utilized and as an achievement, multiwave, multicomplexiton, and positive multicomplexiton solutions to the 3D-GBS equation are formally constructed. The study confirms the efficiency of the methods in handling a wide variety of nonlinear evolution equations. © 2020 Faculty of Engineering, Alexandria University
Citation Count: Akhtar, Junaid...et al. (2020). "On some novel exact solutions to the time fractional (2+1) dimensional Konopelchenko-Dubrovsky system arising in physical science", Open Physics, Vol. 18, No. 1, pp. 806-819.
On some novel exact solutions to the time fractional (2+1) dimensional Konopelchenko-Dubrovsky system arising in physical science
(2020) Akhtar, Junaid; Seadawy, Aly R.; Tariq, Kalim U.; Baleanu, Dumitru; 56389
The purpose of this article is to construct some novel exact travelling and solitary wave solutions of the time fractional (2 + 1) dimensional Konopelchenko-Dubrovsky equation, and two different forms of integration schemes have been utilized in this context. As a result, a variety of bright and dark solitons, kink- and antikink-type solitons, hyperbolic functions, trigonometric functions, elliptic functions, periodic solitary wave solutions and travelling wave solutions are obtained, and the sufficient conditions for the existence of solution are also discussed. Moreover, some of the obtained solutions are illustrated as two- and three-dimensional graphical images by using computational software Mathematica. These types of solutions have a wide range of applications in applied sciences and mathematical physics. The proposed methods are very useful for solving nonlinear partial differential equations arising in physical science and engineering.
Citation Count: Ali, Asghar; Seadawy, Aly R. ;Baleanu, Dumitru (2020). "Propagation of harmonic waves in a cylindrical rod via generalized Pochhammer-Chree dynamical wave equation", Results in Physics, Vol. 17.
Propagation of harmonic waves in a cylindrical rod via generalized Pochhammer-Chree dynamical wave equation
(2020) Ali, Asghar; Seadawy, Aly R.; Baleanu, Dumitru; 56389
In this manuscript, three novel schemes (Generalized direct algebraic; Improved simple equation and Modified F-expansion methods) are successfully utilized to find the solitary solutions of generalized form of Pochhammer-Chree equation. The concerned wave model has been used in the scrutiny for the propagating of harmonic waves in a cylindrical rod and several problems in fluid mechanics and waves theory in physics. The obtained results have imperative role in the field of the nonlinear science.
Citation Count: Rizvi, Syed T.R...et al. (2021). "Rogue, multi-wave, homoclinic breather, M-shaped rational and periodic-kink solutions for a nonlinear model describing vibrations", Results in Physics, Vol. 29.
Rogue, multi-wave, homoclinic breather, M-shaped rational and periodic-kink solutions for a nonlinear model describing vibrations
(2021) Rizvi, Syed T.R.; Seadawy, Aly R.; Ashraf, M. Aamir; Younis, Muhammad; Khaliq, Abdul; Baleanu, Dumitru; 56389
Our aim in this paper is to determine rogue-wave solutions for Maccari-system. We also construct multi-waves, homoclinic breathers, M-shaped rational and periodic cross kink solutions with the combination of exponential, rational, trigonometric functions and various bilinear forms. We will also draw graphical structures of our newly attained results and explain their physique.
Citation Count: Roy, Ripan;...et.al. (2021). "Search for adequate closed form wave solutions to space–time fractional nonlinear equations", Partial Differential Equations in Applied Mathematics, Vol.3.
Search for adequate closed form wave solutions to space–time fractional nonlinear equations
(2021) Roy, Ripan; Akbar, M. Ali; Seadawy, Aly R.; Baleanu, Dumitru; 56389
The nonlinear space–time fractional Phi-4 equation and density dependent fractional reaction–diffusion equation (FRDE) are important models to interpret the fusion and fission phenomena ensued in solid state physics, plasma physics, chemical kinematics, astrophysical fusion plasma, electromagnetic interactions etc. In this study, we search advanced and wide-ranging wave solutions to the formerly reported nonlinear fractional evolution equations in diverse family through the new generalized (G′∕G)-expansion technique. The solutions are developed with trigonometric, hyperbolic, exponential and rational functions including parameters. The technique is a compatible, functional and effective scientific scheme to examine diverse space–time fractional models in physics and engineering concerned with the real life problems.
Citation Count: Din, Rahim ud...et al. (2020). "Study of global dynamics of COVID-19 via a new mathematical model", Results in Physics, Vol. 19.
Study of global dynamics of COVID-19 via a new mathematical model
(2020) Din, Rahim ud; Seadawy, Aly R.; Shah, Kamal; Ullah, Aman; Baleanu, Dumitru; 56389
The theme of this paper focuses on the mathematical modeling and transmission mechanism of the new Coronavirus shortly noted as (COVID-19), endangering the lives of people and causing a great menace to the world recently. We used a new type epidemic model composed on four compartments that is susceptible, exposed, infected and recovered (SEIR), which describes the dynamics of COVID-19 under convex incidence rate. We simulate the results by using nonstandard finite difference method (NSFDS) which is a powerful numerical tool. We describe the new model on some random data and then by the available data of a particular regions of Subcontinents.
Citation Count: Cheemaa, Nadia...et al. (2020). "Study of the dynamical nonlinear modified Korteweg–de Vries equation arising in plasma physics and its analytical wave solutions", Results in Physics, Vol. 19.
Study of the dynamical nonlinear modified Korteweg–de Vries equation arising in plasma physics and its analytical wave solutions
(2020) Cheemaa, Nadia; Seadawy, Aly R.; Sugati, Taghreed G.; Baleanu, Dumitru; 56389
In this article we have discussed the analytical analysis of two dimensional modified Korteweg–de Vries (mK–dV) equation arising in plasma physics that governs the ion-acoustic solitary waves for their asymptotic behavior because of the trapping of electrons using auxiliary equation mapping method. By using this technique we have obtained some quite general and new variety of exact traveling wave solutions which are collecting some kind of semi half bright, bright, dark, semi half dark, doubly periodic, combined, periodic, half hark and half bright via three parametric values which is the primary key point of difference of our technique. These results are highly applicable to develop new theories of quantum mechanics, biomedical problems, soliton dynamics, plasma physics, nuclear physics, optical physics, fluid dynamics, electromagnetism, industrial studies, mathematical physics, biomedical problems, and in many other natural and physical sciences. For detailed physical dynamical representation of our results we have shown them with graphs in different dimensions via Mathematica 10.4 to get more understanding of different new dynamical shapes of solutions.
Citation Count: Wael, Shrouk...et al. (2020). "Symmetry reduction, conservation laws and acoustic wave solutions for the extended Zakharov–Kuznetsov dynamical model arising in a dust plasma", Results in Physics, Vol. 19.
Symmetry reduction, conservation laws and acoustic wave solutions for the extended Zakharov–Kuznetsov dynamical model arising in a dust plasma
(2020) Wael, Shrouk; Seadawy, Aly R.; EL-Kalaawy, O.H.; Maowad, S.M.; Baleanu, Dumitru; 56389
In this article, we consider the extended Zakharov–Kuznetsov (EZK) equation, which describes the nonlinear plasma dust acoustic waves (DAWs) in a magnetized dusty plasma. Dusty plasmas consist of three components: electrons, highly negatively charged dust grains, and two-temperature ions (low-temperature ions and high-temperature ions). We study the Lie symmetries, reductions, conservation laws and new exact solutions of EZK equations. Conservation laws for EZK equation is derived by applying the new conservation theorem of Ibragimov. Similarity solution for EZK equation will be obtained using Lie symmetry method. We find the Lie symmetries group of EZK equation, using similarity variables, get reduction equation, solving the reduction equations and then get the similarity solution. Solitary wave solutions of the EZK equation are derived from the reduction equation. Thus, some new exact explicit solutions of the EZK equation are obtained.
Citation Count: Seadawy, Aly R...et al. (2020). "The Klein–Fock–Gordon and Tzitzeica dynamical equations with advanced analytical wave solutions", Results in Physics, Vol. 19.
The Klein–Fock–Gordon and Tzitzeica dynamical equations with advanced analytical wave solutions
(2020) Seadawy, Aly R.; Ali, Asghar; Zahed, Hanadi; Baleanu, Dumitru; 56389
In this manuscript, two mathematical approaches have been functionalized to discover novel wave results of 3rd-order Klein–Gordon and Tzitzeica equations. With the alliance of Mathematica, the competency of these methods for discovering these exact solutions have been more exhibited. As a result, several solitary solutions are constructed and indicated by hyperbolic solutions, diverse combinations of trigonometric and exponential results. Furthermore, employed techniques are more efficient techniques for exploring essential nonlinear waves that enhance a variety of dynamic models that arises in nonlinear fields. All drafting is given out to express the properties of the innovative explicit analytic solutions. Hence our proposed schemes are directed, succinct, and reasonably good for the various nonlinear evaluation equations (NLEEs) related treatment and mathematical physics also.