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High dispersion and cubic–quintic–septic–nonic nonlinearity effects on optical solitons in the complex Ginzburg–Landau equation of eighth-order with multiplicative white noise in the Itô sense
Faculty
Science
Year:
2024
Type of Publication:
ZU Hosted
Pages:
Authors:
Elsayed Mohamed Elsayed Zayed
Staff Zu Site
Abstract In Staff Site
Journal:
Results in Physics Elsevier
Volume:
Keywords :
High dispersion , cubic–quintic–septic–nonic nonlinearity effects on optical
Abstract:
In this article, we present the complex Ginzburg–Landau equation involving eighth-order dispersion and multiplicative white noise effect in the context of Itô sense for the first time. In order to investigate and analyze the proposed model, two efficient and convenient techniques have been employed in this study. The results revealed the presence of various solitons, including bright, dark, and singular solitons. Additionally, the existence of straddled solitons was reported as well. These findings contribute to the current understanding of soliton dynamics and provide valuable insights for further research in this field. To better understand our findings, we have included several graphs that effectively illustrate the effect of the white noise. The white noise effect refers to a specific pattern of random fluctuations that can be observed in various systems and phenomena. It is characterized by a uniform distribution of frequencies across the entire spectrum, resulting in a constant and uncorrelated signal.
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Elsayed Mohamed Elsayed Zayed, "Cubic-quartic embedded solitons with 𝜒 (2) and 𝜒 (3) nonlinear susceptibilities having multiplicative white noise via Itô calculus", Elsevier, 2023
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Elsayed Mohamed Elsayed Zayed, "Highly dispersive optical solitons in fiber Bragg gratings for stochastic Lakshmanan–Porsezian–Daniel equation with spatio-temporal dispersion and multiplicative white noise", Elsevier, 2023
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Elsayed Mohamed Elsayed Zayed, "Optical solitons in magneto-optic waveguides for perturbed NLSE with Kerr law nonlinearity and spatio-temporal dispersion having multiplicative noise via Itô calculus", Elsevier, 2023
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Elsayed Mohamed Elsayed Zayed, "Dispersive optical solitons in birefringent fibers for stochastic Schrödinger–Hirota equation with parabolic law nonlinearity and spatiotemporal dispersion having multiplicative white noise", Elsevier, 2023
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