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12
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Introduction
Dr. Abeer holds a doctoral degree in Engineering Mathematics from Ain Shams University, as well as a master's degree in engineering from the same institution. Currently, Dr. Abeer serves as an Assistant Lecturer at the GUC. Her research expertise lies in the study of NPDEs, where she has explored novel soliton solutions. In addition, she is passionate about Residue Models and Chaotic Behavior, with applications in communication security, particularly in data steganography and cryptography.
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Current institution
Publications
Publications (12)
This paper proposes a double-layer message security scheme that is implemented in two stages. First, the secret data is encrypted using the AES algorithm with a 256-bit key. Second, least significant bit (LSB) embedding is carried out, by hiding the secret message into an image of an information matrix. A number of performance evaluation metrics ar...
This article studies high dispersion solitons in optical couplers that are composed of metamaterials using the modified extended direct algebraic method (MEDAM). Different dynamic behaviors of unique soliton waves that include singular and combo-soliton solutions are raised using the MEDAM. The solutions that are produced include singular periodic...
![The bright plots of \documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/392403678/figure/fig1/AS:11431281484468967@1749093785262/The-bright-plots-of-documentclass12ptminimal-usepackageamsmath_Q320.jpg)
![The bright plots of \documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/392403678/figure/fig2/AS:11431281484517422@1749093785558/The-bright-plots-of-documentclass12ptminimal-usepackageamsmath_Q320.jpg)
![The wave plots of \documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/392403678/figure/fig3/AS:11431281484723429@1749093785805/The-wave-plots-of-documentclass12ptminimal-usepackageamsmath-usepackagewasysym_Q320.jpg)
![The dark plots of \documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/392403678/figure/fig4/AS:11431281484801952@1749093786117/The-dark-plots-of-documentclass12ptminimal-usepackageamsmath-usepackagewasysym_Q320.jpg)
![The dark plots of \documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/392403678/figure/fig5/AS:11431281484801953@1749093786424/The-dark-plots-of-documentclass12ptminimal-usepackageamsmath-usepackagewasysym_Q320.jpg)
This study explores novel optical soliton solutions for the generalized derivative nonlinear conformable Schrödinger equation under the influence of multiplicative white noise. Using the new Kudryashov method, various solutions are derived, including solitary waves, bright, dark, singular, and W-shaped soliton solutions. The study investigates thei...
Optical fiber connection is essential to modern communication. A high-order nonlinear Schrödinger equation (NLSE) with additional dispersion of high-order and nonlinear components is studied in an inhomogeneous optical fiber. We provide numerous new analytic solutions via the improved modified extended tanh-function algorithm, including rational so...
The multiplicative white noise in the Ito interpretation is included for the first time in the perturbed higher-order modified Gerdjikov–Ivanov (HMGI) equation, that is considered the focus of the current study. In this work, we investigate the suggested model using the improved modified extended tanh-function (IMETF) method with the goal of produc...
The two-mode equations are nonlinear models that describe the behavior of two-way waves moving simultaneously while being affected by confined phase velocity. This article expands a non-linear Schrödinger equation (NLSE) by constructing it as a dual-mode structure. Applying the modified extended direct algebraic method (MEDAM) yields exact and expl...
This article explores a wide range of envelope soliton pulses and their behavior during propagation through a birefringent optical fiber. The propagation of light in such fibers is governed by two coupled non-linear Schrödinger equations (CNLSEs), which account for both coherent and incoherent non-linear couplings. To investigate these solitons, an...
We have introduced various novel soliton waves and other analytic wave solutions for nonlinear Schrödinger equation with cubic, quintic, septic, and nonic nonlinearities. The modified extended direct algebraic method governs the transmission of various solitons with different effects. The combination of this system enables the obtaining of analytic...
This study is focusing on the integrable (3+1)-dimensional equation that combines the potential Kadomtsev-Petviashvili (pKP) equation with B-type Kadomtsev-Petviashvili (BKP) equation, also known as the pKP-BKP equation. The idea of combining integrable equations has the potential to produce a variety of unexpected outcomes such as resonance of sol...
