Browsing by Author "Kaplan, Melike"

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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.
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    Solitary wave solutions of coupled nerve fibers model based on two analytical techniques
    (Springer, 2023-07-01) Razzaq, Waseem; Zafar, Asim; Kaplan, Melike; Raheel, M.; Akbulut, Arzu; AKBULUT, ARZU; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.; F-5393-2015
    This paper focuses on a few innovative solutions to the coupled nerve fibers model. The constructed solutions can be used to expose this model in a noticeable way. The verified solutions are including the trigonometric, exponential, and hyperbolic functions. Utilizing the Mathematica tool, the results are verified. We employed two approaches, named as modified extended tanh expansion and modified (G' G(2) )-expansion methods, to obtain the results. We gave the 2-D and 3-D plots of the obtained results. The obtained results are dissimilar from previous results in the literature. The used methods are powerful and effective. The obtained results have potential to be conducive for the model's future development.