Browsing by Author "Rezazadeh, H."

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Citation Count: Houwea, A...et al. (2021). "New Shape of the Chirped Bright, Dark Optical Solitons and Complex Solutions for (2+1)-Dimensional Ginzburg-Landau Equation and Modulation Instability Analysis", Revista Mexicana de Fisica, Vol. 67, No. 4, pp. 1-13.
New Shape of the Chirped Bright, Dark Optical Solitons and Complex Solutions for (2+1)-Dimensional Ginzburg-Landau Equation and Modulation Instability Analysis
(2021) Houwea, A.; İnç, Mustafa; Baleanu, Dumitru; Rezazadeh, H.; Doka, S.Y.; 56389
The investigation of the Ginzburg-Landau equation (GLE) has been done to fin out and investigate new chirped bright, dark periodic and singular function solutions. For this purpose, we have used the traveling wave hypothesis and the chirp component. From there it was pointed out the constraint relation to the different arbitrary parameters of the GLE. Thereafter, we have employed the improved sub-ODE method to handle the nonlinear ordinary differential equation (NODE). In the paper, the virtue of the used analytical method has been highlighted via new chirped solitary waves. Besides, to emphasize the confrontation between the nonlinearity and dispersion terms, we have investigated the steady state of the newly obtained results. It has been obtained the Modulation instability (MI) gain spectra under the effect of the power incident and the transverse wave number. In our knowledge, these results are new compared to Refs. [28–34], and are going to be helpful to explain physical phenomena. © 2021. All rights reserved
Citation Count: Srivastava, H. M...et al. (2020). "Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method", Physica Scripta, Vol. 95, No. 7.
Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method
(2020) Srivastava, H. M.; Baleanu, Dumitru; Machado, J. A. T.; Osman, M. S.; Rezazadeh, H.; Arshed, S.; Gunerhan, H.; 56389
This work finds several new traveling wave solutions for nonlinear directional couplers with optical metamaterials by means of the modified Kudryashov method. This model can be used to distribute light from a main fiber into one or more branch fibers. Two forms of optical couplers are considered, namely the twin- and multiple- core couplers. These couplers, which have applications as intensity-dependent switches and as limiters, are studied with four nonlinear items namely the Kerr, power, parabolic, and dual-power laws. The restrictions on the parameters for the existence of solutions are also examined. The 3D- and 2D figures are introduced to discuss the physical meaning for some of the gained solutions. The performance of the method shows the adequacy , power, and ability for applying to many other nonlinear evolution models.
Citation Count: Uddin, M.F...et al. (2021). "Traveling wave with beta derivative spatial-temporal evolution for describing the nonlinear directional couplers with metamaterials via two distinct methods", Alexandria Engineering Journal, Vol. 60, No. 1, pp. 1055-1065.
Traveling wave with beta derivative spatial-temporal evolution for describing the nonlinear directional couplers with metamaterials via two distinct methods
(2021) Uddin, M.F.; Hafez, M.G.; Hammouch, Z.; Rezazadeh, H.; Baleanu, Dumitru; 56389
This work is reported the analytical solutions for describing the nonlinear directional couplers with metamaterials by including spatial–temporal fractional beta derivative evolution. The auxiliary ordinary differential equation method and the generalized Riccati method with the properties of beta derivative are implemented to secure such solutions. The solutions are obtained in the new forms by involving of some useful mathematical functions. The constraint conditions among the traveling wave parameters are evaluated. Some of the obtained solutions are presented graphically to illustrate the effectiveness of beta derivative parameter and mathematical techniques. It is investigated that the amplitudes of soliton are increased with the increase of fractional beta derivative parameter. The obtained results would be very useful to examine and understand the physical issues in nonlinear optics, especially in twin-core couplers with optical metamaterials.