Browsing by Author "Alqahtani, Rubayyi T."

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On the dynamics of the complex hirota-dynamical model
(Mdpi, 2023-12-01) Kaplan, Melike; Alqahtani, Rubayyi T.; Ahmed, W. Eltayeb; Akbulut, Arzu; AKBULUT, ARZU; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.; 0000-0003-2448-2481; F-5393-2015
The complex Hirota-dynamical Model (HDM) finds multifarious applications in fields such as plasma physics, fusion energy exploration, astrophysical investigations, and space studies. This study utilizes several soliton-type solutions to HDM via the modified simple equation and generalized and modified Kudryashov approaches. Modulation instability (MI) analysis is investigated. We also offer visual representations for the HDM.
Optical solitons for Lakshmanan–Porsezian–Daniel model with dual-dispersion by trial equation method
(Elsevier, 2018-04-19) Biswas, Anjan; Alqahtani, Rubayyi T.; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300
The trial equation method is applied to obtain soliton solutions to Lakshmanan-Porsezian-Daniel model in optical fibers, PCF and metamaterials. This integration procedure is implemented into the model with three forms of nonlinearity. Bright, dark and singular soliton solutions are recovered with conditions that guarantee their existence.
Some latest families of exact solutions to date-jimbo-kashiwara-miwa equation and its stability analysis
(Mdpi, 2023-10-01) Alqahtani, Rubayyi T.; Alharthi, Nadiyah Hussain; Akbulut, Arzu; AKBULUT, ARZU; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/ Matematik Bölümü.; 0000-0003-2448-2481; F-5393-2015
The present study demonstrates the derivation of new analytical solutions for the Date-Jimbo-Kashiwara-Miwa equation utilizing two distinct methodologies, specifically the modified Kudryashov technique and the (g')-expansion procedure. These innovative concepts employ symbolic computations to provide a dynamic and robust mathematical procedure for addressing a range of nonlinear wave situations. Additionally, a comprehensive stability analysis is performed, and the acquired results are visually represented through graphical representations. A comparison between the discovered solutions and those already found in the literature has also been performed. It is anticipated that the solutions will contribute to the existing literature related to mathematical physics and soliton theory.