Search Results - "Abdelrahman, Mahmoud A. E"
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A new statistical distribution via the Phi-4 equation with its wide-ranging applications
Published in PloS one (04-11-2024)“…This paper presents a new framework based on nonlinear partial differential equations and statistics. For the nonlinear Phi-4 equation, the probability density…”
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2
Simulating New CKO as a Model of Seismic Sea Waves via Unified Solver
Published in Advances in mathematical physics (06-03-2023)“…Due to high rate of electrical device usage of all types and high consumption of electricity, it is necessary to search for alternative way. There are so many…”
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3
Langmuir Forcing and Collapsing Subsonic Density Cavitons via Random Modulations
Published in Symmetry (Basel) (01-08-2023)“…Electrostatic nonlinear random Langmuir structures have been propagated in stochastic magnetospheres, clouds and solar wind. A theoretical description of…”
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4
Modulations of Stochastic Modeling in the Structural and Energy Aspects of the Kundu–Mukherjee–Naskar System
Published in Mathematics (Basel) (01-12-2023)“…By using stochastic modeling, the investigation of the energy and wave characteristics of novel structures that develop in the sea and ocean currents becomes…”
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5
The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagations
Published in Journal of low frequency noise, vibration, and active control (01-06-2023)“…The nonlinearly stochastic Schrödinger equation (NLSSE) predicts the nonlinear process that produces the waves decay in many physics applications. The unified…”
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6
Numerical Investigation of the Fractional Diffusion Wave Equation with the Mittag–Leffler Function
Published in Fractal and fractional (01-01-2024)“…A spline is a sufficiently smooth piecewise curve. B-spline functions are powerful tools for obtaining computational outcomes. They have also been utilized in…”
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7
Characteristics of New Stochastic Solitonic Solutions for the Chiral Type of Nonlinear Schrödinger Equation
Published in Fractal and fractional (01-06-2023)“…The Wiener process was used to explore the (2 + 1)-dimensional chiral nonlinear Schrödinger equation (CNLSE). This model outlines the energy characteristics of…”
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8
Characteristics of Solitary Stochastic Structures for Heisenberg Ferromagnetic Spin Chain Equation
Published in Symmetry (Basel) (01-04-2023)“…The impact of Stratonovich integrals on the solutions of the Heisenberg ferromagnetic spin chain equation using the unified solver approach is examined in this…”
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9
An Efficient Cubic B-Spline Technique for Solving the Time Fractional Coupled Viscous Burgers Equation
Published in Fractal and fractional (01-01-2024)“…The second order Burger’s equation model is used to study the turbulent fluids, suspensions, shock waves, and the propagation of shallow water waves. In the…”
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10
Higher-Order Dispersive and Nonlinearity Modulations on the Propagating Optical Solitary Breather and Super Huge Waves
Published in Fractal and fractional (01-01-2023)“…The nonlinearity form of the Schrödinger equation (NLSE) gives a sterling account for energy and solitary transmission properties in modern communications with…”
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11
Modulations of Collapsing Stochastic Modified NLSE Structures
Published in Mathematics (Basel) (01-10-2023)“…The exact solutions of the nonlinear Schrödinger equation (NLSE) predict consistent novel applicable existences such as solitonic localized structures, rouge…”
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12
Investigation of the Ripa Model via NHRS Scheme with Its Wide-Ranging Applications
Published in Fractal and fractional (01-12-2022)“…This paper presents numerical modeling and investigation for the Ripa system. This model is derived from a shallow water model by merging the horizontal…”
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13
The Stochastic Structural Modulations in Collapsing Maccari’s Model Solitons
Published in Fractal and fractional (01-04-2023)“…The two-dimensional Maccari nonlinear system performs the energy and wave dynamical features in fiber communications and modern physical science as…”
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14
A Hyperbolic Secant-Squared Distribution via the Nonlinear Evolution Equation and Its Application
Published in Mathematics (Basel) (01-10-2023)“…In this article, we present a hyperbolic secant-squared distribution via the nonlinear evolution equation. Namely, for this equation, the probability density…”
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15
Analytical and numerical investigations of the modified Camassa–Holm equation
Published in Pramāṇa (2021)“…In this article, analytical and numerical solutions to the simplified modified Camassa–Holm (MCH) equation by using the Riccati–Bernoulli (RB) sub-ODE method…”
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16
New stochastic solutions for a new extension of nonlinear Schrödinger equation
Published in Pramāṇa (01-12-2021)“…In this article, we applied the unified solver method to extract stochastic solutions of a new stochastic extension of nonlinear Schrödinger equation. This…”
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17
Soliton solutions for system of ion sound and Langmuir waves
Published in Optical and quantum electronics (01-10-2020)“…We study on constructing new traveling wave solution of a system known as ion sound and Langmuir waves by using method of extended Jacobian elliptic function…”
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18
On the Physical Fractional Modulations on Langmuir Plasma Structures
Published in Fractal and fractional (01-08-2022)“…Langmuir waves propagate in fractal complex plasma with fractal characteristics, which may cause some plasma particles to be trapped or causes wave…”
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19
The ultra-relativistic Euler equations
Published in Mathematical methods in the applied sciences (15-05-2015)“…We study the ultra‐relativistic Euler equations for an ideal gas, which is a system of nonlinear hyperbolic conservation laws. We first analyze the single…”
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Novel Explosive and Super Fractional Nonlinear Schrödinger Structures
Published in Journal of mathematics (Hidawi) (2023)“…The fractional nonlinear Schrödinger equation solutions have been investigated via fraction space-time derivative sense. We applied the unified technique for…”
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