Browsing by Author "Ali, Asghar"

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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: 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: 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: Seadawy, Aly R.;...et.al. (2022). "Propagation of traveling wave solutions to the Vakhnenko-Parkes dynamical equation via modified mathematical methods", Applied Mathematics, Vol.37, No.1, pp.21-34.
Propagation of traveling wave solutions to the Vakhnenko-Parkes dynamical equation via modified mathematical methods
(2022) Seadawy, Aly R; Albarakati, Wafaa A.; Ali, Asghar; Baleanu, Dumitru; 56389
In this paper, we investigate some new traveling wave solutions to Vakhnenko-Parkes equation via three modified mathematical methods. The derived solutions have been obtained including periodic and solitons solutions in the form of trigonometric, hyperbolic, and rational function solutions. The graphical representations of some solutions by assigning particular values to the parameters under prescribed conditions in each solutions and comparing of solutions with those gained by other authors indicate that these employed techniques are more effective, efficient and applicable mathematical tools for solving nonlinear problems in applied science.
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.
Citation Count: Seadawy, Aly; Ali, Asghar; Baleanu, Dumitru (2020). "Transmission of high-frequency waves in a tranquil medium with general form of the Vakhnenko dynamical equation", Physica Scripta, Vol. 95, No. 9.
Transmission of high-frequency waves in a tranquil medium with general form of the Vakhnenko dynamical equation
(2020) Seadawy, Aly; Ali, Asghar; Baleanu, Dumitru; 56389
In this new work, two novel modified mathematical methods, called simple equation and F-expansion are devised for exact solutions of Vakhnenko equation, used to handle the transmission of high-frequency waves in a tranquil medium.The constructed results are in exponential, trigonometric and hyperbolic functions. By conveying the specific values for parameters, diverse form of 2D and 3D waves are generated with assistance of Mathematica. The developed solutions are fruitful in NPDEs.