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Öğe New interaction solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation(Elsevier B.V., 2022) Long, Fei; Alsallami, Shami A.M.; Rezaei, Somayeh; Nonlaopon, Kamsing; Khalil, E.M.This study aims to determine novel analytical lump solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation through conducting symbolic computations using the Hirota direct method. This nonlinear model describes the propagation of unidirectional shallow-water waves and interactions of two long waves with different dispersion forms. Some informative descriptions of physical behavior related to the solutions obtained in this article have also been included through several 3D figures and 2D contour plots. The acquired results in this research may be beneficial for better understanding the interaction phenomena of localized nonlinear waves in different research fields of nonlinear science. It is notable that the use of computer algebra in the calculations required by the article is inevitable. Accordingly, in this work, we have used the symbolic package Mathematica. Our results will be meaningful for the investigation of the future development of lump solitons in many physical systems. © 2022 The AuthorsÖğe Novel wave solutions to a generalized third-order nonlinear Schrödinger's equation(Elsevier B.V., 2022) Liu, Siyuan; Rezaei, Somayeh; Najati, S.A.; Mohamed, Mohamed S.Schrödinger's equation and its variants play an important role in describing many well-known problems in disciplines such as mathematics and physics. Our main concern in this paper is to investigate some novel analytical solutions to a third-order generalized nonlinear Schrödinger's equation. This equation is used to model the motion of ultra-short pulses in optical fibers. The model also includes several arbitrary parameters that introduce several well-known nonlinear models as its special case. The main achievements of the paper are determined via two efficient methodologies based upon the modified generalized exponential rational function method and a logarithmic transformation approach. In order to better examine the results, three-dimensional diagrams obtained from analytical answers have been attached to the article. These diagrams are useful tools that facilitate a better description of the capabilities of this model. One of the advantages of the method used in this research over some other techniques is that it is possible to adapt the implemented algorithm to solve other complex new problems. © 2022 The AuthorsÖğe 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 AuthorsÖğe 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
