Explanipedia

On the novel nonlinear propagating waves in stochastic dispersive mode Open

H. G. Abdelwahed, A.F. Alsarhan, Ε. K. El-Shewy, Mahmoud A. E. Abdelrahman · 2025

The solutions of the nonlinear Schrödinger equations (NLSEs) predict the presence of consistent, novel and applicable existences including solitonic localized structures, rouge forms and shocks that propagate based on of physical parameter…

An insight into the stochastic solitonic features of the Maccari model using the solver technique Open

H. G. Abdelwahed, Reem Alotaibi, Ε. K. El-Shewy, Mahmoud A. E. Abdelrahman · 2024

In this paper, the unified approach is used in acquiring some new results to the coupled Maccari system (MS) in Itô sense with multiplicative noise. The MS is a nonlinear model used in hydrodynamics, plasma physics, and nonlinear optics to…

Exploring nonlinear chaotic systems with applications in stochastic processes Open

H. G. Abdelwahed, Islam M. Elbaz, M. A. Sohaly, Mahmoud A. E. Abdelrahman, A.F. Alsarhan , et al. · 2024

This manuscript explores the stability theory of several stochastic/random models. It delves into analyzing the stability of equilibrium states in systems influenced by standard Brownian motion and exhibit random variable coefficients. By …

The new stochastic solutions to the perturbed NLSE Open

H. G. Abdelwahed, Mahmoud A. E. Abdelrahman · 2024

This article extracts exact solutions for the perturbed nonlinear Schrödinger’s equation (PNLSE) with Kerr law nonlinearity forced by multiplicative noise in It^o sense by utilizing the unified solver method. The presented solutions involv…

On the superpropagating nonlinear waveform in critical superthermal fluid Open

Nabil A. Ibrahim, H. G. Abdelwahed, Ε. K. El-Shewy, Mahmoud A. E. Abdelrahman · 2023

The superthermality indices of positron (electron) contributions to the new nonlinear wave profiles characterized by the model as supersoliton, cnoidal, shocklike, and super-periodic wave propagation have been obtained in the superthermal …

Langmuir Forcing and Collapsing Subsonic Density Cavitons via Random Modulations Open

Maged A. Azzam, H. G. Abdelwahed, Ε. K. El-Shewy, Mahmoud A. E. Abdelrahman · 2023

Electrostatic nonlinear random Langmuir structures have been propagated in stochastic magnetospheres, clouds and solar wind. A theoretical description of Langmuir waves can be modeled by Schrödinger and Zakharov models with stochastic term…

Some electrostatic structures of the mKP equation for a nonthermal plasma system by a unified solver technique Open

H. G. Abdelwahed · 2023

The reductive perturbation technique is used to obtain the Modified KP equation at critical densities distinguished by the MKPE in plasma ion pair with fast electron positron. The new structures reveal that super-solitary and period wavefo…

The Stochastic Structural Modulations in Collapsing Maccari’s Model Solitons Open

H. G. Abdelwahed, A. F. Alsarhana, Ε. K. El-Shewy, Mahmoud A. E. Abdelrahman · 2023

The two-dimensional Maccari nonlinear system performs the energy and wave dynamical features in fiber communications and modern physical science as hydrodynamic and space plasma. Several new forms of solutions for the Maccari’s model are c…

On the Physical Fractional Modulations on Langmuir Plasma Structures Open

H. G. Abdelwahed, Ε. K. El-Shewy, S. Alghanim, Mahmoud A. E. Abdelrahman · 2022

Langmuir waves propagate in fractal complex plasma with fractal characteristics, which may cause some plasma particles to be trapped or causes wave turbulences. This phenomenon appears in the form of fractional order equations. Using an ef…

Modulations of some physical parameters in a nonlinear Schrödinger type equation in fiber communications Open

H. G. Abdelwahed, Ε. K. El-Shewy, S. Alghanim, Mahmoud A. E. Abdelrahman · 2022

Hyperbolic, trigonometric, rational function solutions are obtained for a nonlinear Schrödinger type equation in an optical fiber. The numerical investigations for the examined solutions have been remarks that rational, shock, envelopes, p…

Characteristics of stochastic Langmuir wave structures in presence of Itô sense Open

H. G. Abdelwahed, Ε. K. El-Shewy, R. Sabry, Mahmoud A. E. Abdelrahman · 2022

This article focuses on the new wave structures for the system of equations for the ion sound and Langmuir waves (ISALWs) in plasma via stochastic sense. Namely, we consider this model damped by noises in Itô sense. The new presented stoch…

Some solutions for a stochastic NLSE in the unstable and higher order dispersive environments Open

Hanan A. Alkhidhr, H. G. Abdelwahed, Mahmoud A. E. Abdelrahman, S. Alghanim · 2022

Higher-order Kerr nonlinear and dispersion effects on fiber optics Open

H. G. Abdelwahed, Mahmoud A. E. Abdelrahman, S. Alghanim, N. F. Abdo · 2021

New super waveforms for modified Korteweg-de-Veries-equation Open

H. G. Abdelwahed, Ε. K. El-Shewy, Mahmoud A. E. Abdelrahman, R. Sabry · 2020

New nonlinear periodic, solitonic, dissipative waveforms for modified-Kadomstev-Petviashvili-equation in nonthermal positron plasma Open

H. G. Abdelwahed, Mahmoud A. E. Abdelrahman · 2020

New Soliton Applications in Earth's Magnetotail Plasma at Critical Densities Open

H. G. Abdelwahed, Mahmoud A. E. Abdelrahman, Mustafa İnç, R. Sabry · 2020

New plasma wave solutions of the modified Kadomtsev Petviashvili (MKP) equation are presented. These solutions are written in terms of some elementary functions, including trigonometric, rational, hyperbolic, periodic, and explosive functi…

On the modulation of ionic velocity in electron–positron–ion plasmas Open

Ε. K. El-Shewy, H. G. Abdelwahed, N. F. Abdo, Mohamed S. Yousef · 2017

Ion-acoustic structures in electronâpositronâion (e-p-i) plasma are examined by algebraic analysis of model equations. The dynamic of solitary waves are studied through direct approach. The system energy is obtained in terms of velocity of…

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