15 hasil untuk "Elsayed M.E. Zayed"
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Artikel Jurnal
New extended generalized Kudryashov method for solving three nonlinear partial differential equations
New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger equation with anti-cubic nonlinearity, the…
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New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials
In a previous work, Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended (G′/G)-expansion method and found new exact solutions of the nonlinear KPP equation. In the present article, we propose a different method, namely, a new sub-equation…
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Artikel Jurnal
A unified concatenation model for plasma physics: Integrability and soliton solutions
In numerous fields of mathematical physics, including nuclear physics, fluid dynamics, quantum optics, and plasma physics, the idea of nonlinear evolution equation has left an enduring impression. The concept of concatenation model has recently gained its popularity after its first appearance…
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An eerie note of caution from two papers of Mostafa M.A. Khater et al. and Sadaf Bibi et al. [Results in Physics, 7 (2017) 2325–2333 and 4440–4450.]
This note concerns the doubtful Khater method included in the above two papers. We show by simple calculation that Khater method is not true. The solutions of the proposed nonlinear equations in the above two papers are all not true too. Keywords: Khater method is wrong, The exact solutions in the…
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Chirped and chirp-free solitons in optical fiber Bragg gratings with dispersive reflectivity having parabolic law nonlinearity by Jacobi’s elliptic function
This paper enumerates optical solitons and other solutions in fiber Bragg gratings having dispersive reflectivity with parabolic form of nonlinearity. The new Jacobi elliptic functions expansion has been utilized to achieve this goal. Chirped as well as chirp-free pulses are recovered. Keywords…
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Artikel Jurnal
Highly dispersive optical solitons in fiber Bragg gratings for stochastic Lakshmanan–Porsezian–Daniel equation with spatio-temporal dispersion and multiplicative white noise
Nonlinear partial differential equations serve as key components for the mathematical representation of engineering phenomena across several domains within the known universe. In the field of engineering difficulties, the most significant considerations are invariably systems composition and…
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Exact solutions of stochastic generalized long–short wave resonance equations with cubic–quintic nonlinearity via the new sub-ODE method
We study a stochastic generalized long–short wave resonance system with cubic–quintic nonlinearities, perturbation terms, and multiplicative white noise in the Itô sense. Using a traveling-wave reduction combined with the newly proposed sub-ODE method, we construct explicit families of…
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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
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…
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Artikel Jurnal
Optical dromions in cascaded systems with a couple of integration norms
This paper revisits cascaded system with Kerr nonlinearity but in (2 + 1)-dimensions. Two forms of integration architecture lead to bright, dark and singular solitons to the model that will be useful in a variety of optoelectronic devices such as optical couplers, magneto-optic waveguides. Jacobi’s…
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Impact of high dispersion and cubic-quintic-septic nonlinearity on optical solitons perturbations of the resonant nonlinear Schrödinger equation with multiplicative white noise
This study investigates the effect of high dispersion, perturbations, cubic-quintic-septic nonlinearity, and multiplicative white noise on the resonant nonlinear Schrödinger equation in the Bohm potential. The model being studied is novel and requires investigation into its behavior and…
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Investigating the potential of optical metamaterials with highly dispersive solitons in twin couplers with stochastic perturbations and white noise effects
This study emphasizes a unique contribution as we investigate the dimensionless version of the perturbed stochastic NLSE within an optical metamaterial-designed coupler. We employ Kudryashov's sextic-power law nonlinearity to present this formulation, and, for the first time, we introduce…
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Optical soliton perturbation with complex ginzburg–landau equation having multiplicative white noise and nine forms of self–phase modulation structures
This paper investigates new optical soliton solutions to the complex Ginzburg–Landau equation in the presence of white noise, a fundamental model in nonlinear optics that describes soliton dynamics. The study focuses on nine distinct forms of self-phase modulation structures, each exhibiting unique…
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Dispersive optical solitons with DWDM topology and multiplicative white noise
The primary objective of this research is to investigate and analyze the intricate dynamics exhibited by dispersive optical soliton solutions within dispersion-flattened fibers while considering the impact of white noise. By examining this phenomenon, the study aims to gain a comprehensive…
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Quiescent optical solitons in magneto–optic waveguides having Kudryashov's quintuple power–law of self–phase modulation
This paper investigates the propagation of quiescent optical solitons in magneto-optic waveguides governed by Kudryashov's quintuple power-law of self-phase modulation, incorporating generalized temporal evolution and nonlinear chromatic dispersion. The governing model accounts for the interplay…
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Quiescent Solitons in Magneto-Optic Waveguides with Nonlinear Chromatic Dispersion and Kudryashov’s Form of Self-Phase Modulation Having Generalized Temporal Evolution
The article discusses how Kudryashov's proposed self-phase modulation scheme and nonlinear chromatic dispersion cause the evolution of quiescent optical solitons in magneto-optic waveguides. Provide a comprehensive understanding of the governing model; generalised temporal evolution is considered…