Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 41Citation - Scopus: 47New Soliton Solutions of the Mzk Equation and the Gerdjikov-Ivanov Equation by Employing the Double (g?/G,1 Method(Elsevier, 2023) Baleanu, Dumitru; Miah, M. Mamun; Ali, H. M. Shahadat; Alshehri, Hashim M.; Osman, M. S.; Iqbal, M. AshikIn the electrical transmission lines, the processing of cable signals distribution, computer networks, high-speed computer databases and discrete networks can be investigated by the modified Zakharov-Kuznetsov (mZK) equation as a data link propagation control model in the study of nonlinear Schro center dot dinger type equations as well as in the analysis of the generalized stationary Gardner equation. The proposed Gerdjikov-Ivanov model can be used in the field of nonlinear optics, weakly nonlinear dispersion water waves, quantum field theory etc. In this work, we developed complete traveling wave solutions with specific t-type, kink type, bell-type, singular solu-tions, and periodic singular solutions to the proposed mZK equation and the Gerdjikov-Ivanov equation with the aid of the double (G '/G,1/G)-expansion method. These settled solutions are very reliable, durable, and authentic which can measure the fluid velocity and fluid density in the electrically conductive fluid and be able to analysis of the flow of current and voltage of long-distance electrical transmission lines too. These traveling wave so-lutions are available in a closed format and make them easy to use. The proposed method is consistent with the abstraction of traveling wave solutions.Article Citation - WoS: 20Citation - Scopus: 20On Distinctive Solitons Type Solutions for Some Important Nonlinear Schrodinger Equations(Springer, 2021) Machado, J. A. T.; Baleanu, D.; Zafar, A.; Raheel, M.; Osman, M. S.The extended Jacobi elliptic function expansion (EJEFE) method is used to retrieve several types of optical solitons of two nonlinear Schrodinger equations, namely the Heisenberg ferromagnetic spin chains and Alfven envelop equations. The obtained traveling wave solutions and the corresponding plots are analysed by means of the symbolic package Mathematica. The solutions show that the proposed strategy is effective and reliable for solving different types of nonlinear differential equations.