Yazar "Rezapour, S." seçeneğine göre listele

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  • Küçük Resim
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    On dynamics of an eco-epidemics system incorporating fractional operators of singular and nonsingular types
    (Elsevier, 2022) Rezapour, S.; Rezaei, Somayeh; Khames, A.; Abdelgawad, M.A.; Ghoneim, M.M.; Riaz, M.B.
    This paper examines three new definitions of the fractional derivative with singular and non-singular kernels in an eco-epidemics model of predator–prey type. The model describes the situation in which an infectious disease has been spread in the predator category that affects all other interactions in the system. Moreover, equilibrium points related to the model are identified and conditions related to the stability of each are stated. Further, several simulated scenarios have been provided to support the analytical discussions. The sensitivity of the models to changes in some parameters in them has been investigated and it was seen that these changes sometimes cause chaos in the studied dynamic systems. The utilized techniques in this contribution will enable us to handle other related eco-epidemics models including fractional-derivative operators in an accurate and efficient manner. © 2022 The Authors
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    Some novel approaches to analyze a nonlinear Schrodinger's equation with group velocity dispersion: Plasma bright solitons
    (Elsevier, 2022) Rezaei, Somayeh; Rezapour, S.; Alzabut, J.; De Sousa, R.; Alotaibi, B.M.; El-Tantawy, S.A.
    Taking two efficient analytical techniques, including the generalized exponential rational function method and the extended sinh–Gordon equation expansion method, into account several optical solutions to a variety of nonlinear Schrödinger's equation with group velocity dispersion are constructed. We are investigated several families of localized structures (bright solitons) for attractive nonlinearities including localized structures in both angular directions in addition to localized structures in one-directional and homogeneous in the other. To provide a better understanding of the obtained results, some numerical simulations for the obtained solutions are carried out. Further, the obtained solutions are represented graphically in order to clarify the vision and deep understanding of the mechanism of all nonlinear phenomena described by these solutions. The acquired results in this survey are new and have not been obtained in previous literature. Moreover, both utilized techniques can be assumed as an important tool for the explanation of some nonlinear physical phenomena such as the modulated envelope localized structures in plasma physics and fluid mechanics. Also, the obtained solutions can help researchers interested in studying the acoustic nonlinear modulated structures in different plasma models especially bright envelope solitons. © 2022 The Authors