Browsing by Author "Osman, M.S."

Now showing 1 - 4 of 4

Citation - Scopus: 14
The Dynamical Behavior for a Famous Class of Evolution Equations With Double Exponential Nonlinearities
(Shanghai Jiaotong University, 2022) Baleanu, D.; Ali, K.K.; Nuruddeen, R.I.; Muhammad, L.; Aljohani, A.F.; Osman, M.S.; Alharthi, M.S.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
An analytical investigation for a famous class of evolution equations with double exponential nonlinearities that has vast applications in many nonlinear sciences is presented. These equations include the Tzitzéica Equation (TE), Dodd-Bullough-Mikhailov Equation (DBME), Tzitzéica-Dodd-Bullough-Mikhailov equation (TDBME) and the Peyrard Bishop DNA Equation (PB-DNA-E). Furthermore, the Kudryashov method for constructing exponential function solutions has been employed to reveal various sets of traveling wave solutions with different geometrical structures to the identified models. We also give the graphical illustrations of certain solutions to further analyze the results. © 2022
Citation - Scopus: 95
Dynamical Behavior of Solitons of the Perturbed Nonlinear Schrödinger Equation and Microtubules Through the Generalized Kudryashov Scheme
(Elsevier B.V., 2022) Wazwaz, A.-M.; Mahmud, F.; Baleanu, D.; Roy, R.; Barman, H.K.; Osman, M.S.; Ali Akbar, M.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features of solitons in optical fibers and the functional aspects of microtubule dynamics. The generalized Kudryashov method is used in this article to extract stable, generic, and wide-ranging soliton solutions, comprising hyperbolic, exponential, trigonometric, and some other functions, and retrieve diverse known soliton structures by balancing the effects of nonlinearity and dispersion. It is established by analysis and graphs that changing the included parameters changes the waveform behavior, which is largely controlled by nonlinearity and dispersion effects. The impact of the other parameters on the wave profile, such as wave speed, wavenumber, etc., has also been covered. The results obtained demonstrate the reliability, efficiency, and capability of the implemented technique to determine wide-spectral stable soliton solutions to nonlinear evolution equations emerging in various branches of scientific, technological, and engineering domains. © 2022 The Author(s)
New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications
(2019) Lu, D.; Tariq, K.U.; Osman, M.S.; Baleanu, Dumitru; Younis M., Younis M; Khater, M.M.A.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
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
Citation - Scopus: 36
Soliton Solutions of a Nonlinear Fractional Sasa-Satsuma Equation in Monomode Optical Fibers
(Natural Sciences Publishing, 2020) Osman, M.S.; Zubair, A.; Raza, N.; Arqub, O.A.; Ma, W.-X.; Baleanu, D.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This article is devoted to retrieving soliton solutions of a nonlinear Sasa-Satsuma equation governing the propagation of short light pulses in the monomode optical fibers using the effect of conformable fractional transformation. The Integrability is carried out by incorporating two versatile integration gadgets namely the first integral method and the generalized projective Riccati equation method. The resulting solutions include bright, dark, singular, periodic as well as rational solitons along with their existence criteria. Furthermore, the fractional behavior of the solutions is investigated comprehensively using graphs. © 2020 NSP Natural Sciences Publishing Cor.