Browsing by Author "Younis, M."

Now showing 1 - 4 of 4

Citation - WoS: 60
Citation - Scopus: 68
Analytical Optical Soliton Solutions of the Schrodinger-Poisson Dynamical System
(Elsevier, 2021) Seadawy, Aly R.; Baber, M. Z.; Husain, S.; Iqbal, M. S.; Rizvi, S. T. R.; Baleanu, Dumitru; Younis, M.; R. Rizvi, S.T.
The 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.
Citation - WoS: 152
Citation - Scopus: 159
Lump and Interaction Solutions of a Geophysical Korteweg-De Vries Equation
(Elsevier, 2020) Seadawy, Aly R.; Ashraf, F.; Younis, M.; Iqbal, H.; Baleanu, Dumitru; Rizvi, S. T. R.
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.
Citation - WoS: 26
Citation - Scopus: 26
Multi-Wave, Homoclinic Breather, M-Shaped Rational and Other Solitary Wave Solutions for Coupled-Higgs Equation
(Springer Heidelberg, 2021) Seadawy, A. R.; Ashraf, M. A.; Bashir, A.; Younis, M.; Baleanu, Dumitru; Rizvi, S. T. R.
In this article, we construct multi-wave, homoclinic breather, M-shaped rational and periodic cross kink wave solutions for coupled-Higgs equation (CHE) by using distinct transformations. We obtain these solutions with the aid of logarithmic transformations and symbolic computations. Moreover, we also derive some soliton wave solutions for CHE in polynomial forms. These solutions include solitary wave, soliton wave and Jacobi elliptic function solutions and are found by implementing unified technique. We will also discuss the graphical structure of our newly achieved results.
Citation - WoS: 86
Citation - Scopus: 90
New Analytical Wave Structures for the (3
(Elsevier, 2019) Tariq, K. U.; Osman, M. S.; Baleanu, D.; Younis, M.; Khater, M. M. A.; Lu, D.
Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method. These solutions are classified into three categories, namely solitary wave, shock wave, and singular wave solutions. The corresponding integrability criteria, termed as constraint conditions, obviously arise from the study. Moreover, the influences of the free parameters and interaction properties in these solutions are discussed graphically for physical interests and possible applications.