Browsing by Author "Alqahtani R.T."
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Scopus Exploration of New Solitons for the Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model(2023-06-01) Kaplan M.; Alqahtani R.T.The key objective of the current manuscript was to investigate the exact solutions of the fractional perturbed Radhakrishnan–Kundu–Lakshmanan model. For this purpose, we applied two reliable and efficient approaches; specifically, the modified simple equation (MSE) and exponential rational function (ERF) techniques. The methods considered in this paper offer solutions for problems in nonlinear theory and mathematical physics practice. We also present solutions obtained graphically with the Maple package program.Scopus New Solitary Wave Patterns of the Fokas System in Fiber Optics(2023-04-01) Kaplan M.; Akbulut A.; Alqahtani R.T.The Fokas system, which models wave dynamics using a single model of fiber optics, is the design under discussion in this study. Different types of solitary wave solutions are obtained by utilizing generalized Kudryashov (GKP) and modified Kudryashov procedures (MKP). These novel concepts make use of symbolic computations to come up with a dynamic and powerful mathematical approach for dealing with a variety of nonlinear wave situations. The results obtained in this paper are original and have the potential to be useful in mathematical physics.Scopus Wave Propagation and Stability Analysis for Ostrovsky and Symmetric Regularized Long-Wave Equations(2023-10-01) Kaplan M.; Alqahtani R.T.; Alharthi N.H.This work focuses on the propagation of waves on the water’s surface, which can be described via different mathematical models. Here, we apply the generalized exponential rational function method (GERFM) to several nonlinear models of surface wave propagation to identify their multiple solitary wave structures. We provide stability analysis and graphical representations for the considered models. Additionally, this paper compares the results obtained in this work and existing solutions for the considered models in the literature. The effectiveness and potency of the utilized approach are demonstrated, indicating their applicability to a broad range of nonlinear partial differential equations in physical phenomena.