Browsing by Author "Wazwaz, Abdul-Majid"

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Citation Count: Ali Akbar, M. ;...et.al. (2022). "Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme", Results in Physics, Vol.43.
Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme
(2022) Ali Akbar, M.; Wazwaz, Abdul-Majid; Mahmud, Forhad; Baleanu, Dumitru; Roy, Ripan; Barman, Hemonta Kumar; Mahmoud, W.; Al Sharif, Mohammed A.; Osman, M.S.; 56389
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.
Citation Count: Almusawa, Hassan...et al. (2021). "Protracted study on a real physical phenomenon generated by media inhomogeneities", Results in Physics, Vol. 31.
Protracted study on a real physical phenomenon generated by media inhomogeneities
(2021) Almusawa, Hassan; Ali, Khalid K.; Wazwaz, Abdul-Majid; Mehanna, M.S.; Baleanu, Dumitru; Osman, M.S.; 56389
In this work, we study the dynamical behavior for a real physical application due to the inhomogeneities of media via analytical and numerical approaches. This phenomenon is described by the 3D Date–Jimbo–Kashiwara–Miwa (3D-DJKM) equation. For analytical techniques, three different methods are performed to get hyperbolic, trigonometric and rational functions solutions. After that, the obtained solutions are graphically depicted through 2D- and 3D-plots and numerically compared via the finite difference algorithm to check the precision of the proposed methods.