Browsing by Author "Seadawy, Aly R"
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Article Citation Count: Younis, M...et al. (2021). "Analytical optical soliton solutions of the Schrodinger-Poisson dynamical system", Results in Physics, Vol. 27.Analytical optical soliton solutions of the Schrodinger-Poisson dynamical system(2021) Younis, M.; Seadawy, Aly R; Baber, M. Z.; Husain, S.; Iqbal, M. S.; Rizvi, S. T. R.; Baleanu, Dumitru; 56389The article studies the exact traveling wave solutions to the Schrodinger-Poisson system which has applications in gravity's role of quantum state and approximate the coupling between quantum mechanics with gravitation. Diverse exact solutions in hyperbolic, trigonometric and plane wave forms are obtain using two norms of integration. For this sake modified extended direct algebraic (MEDA) and (G'/G)-expansion techniques are used. The 3D plots and their corresponding contour graphs are also depicted. The constraints conditions for the exact of solutions are also emerged during the derivation of solution.Article 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; 56389In 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.