M.A. Abdou

ORCID: 0000-0003-4114-3553
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Research Areas
  • Fractional Differential Equations Solutions
  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Numerical methods in engineering
  • Differential Equations and Numerical Methods
  • Magnetic confinement fusion research
  • Differential Equations and Boundary Problems
  • Iterative Methods for Nonlinear Equations
  • Fusion materials and technologies
  • Nuclear reactor physics and engineering
  • Mathematical functions and polynomials
  • Nuclear Physics and Applications
  • Nonlinear Differential Equations Analysis
  • Numerical methods in inverse problems
  • Statistical Mechanics and Entropy
  • Thermoelastic and Magnetoelastic Phenomena
  • Electromagnetic Scattering and Analysis
  • Advanced Fiber Laser Technologies
  • Numerical methods for differential equations
  • Elasticity and Wave Propagation
  • Superconducting Materials and Applications
  • Algebraic structures and combinatorial models
  • Laser-Plasma Interactions and Diagnostics
  • Composite Structure Analysis and Optimization
  • stochastic dynamics and bifurcation

Alexandria University
2016-2025

University of Bisha
2007-2025

Université de Bordeaux
2024

Mansoura University
2010-2023

University of Stuttgart
2023

Minia University
2023

Benha University
2021-2022

Sinai University
2017

Umm al-Qura University
2016

King Khalid University
2007-2014

10.1016/j.cam.2004.11.032 article EN publisher-specific-oa Journal of Computational and Applied Mathematics 2004-12-30

10.1016/j.physd.2005.08.002 article EN Physica D Nonlinear Phenomena 2005-08-20

10.1016/j.amc.2007.01.070 article EN Applied Mathematics and Computation 2007-02-07

The prime objective of this paper is to explore the new exact soliton solutions higher-dimensional nonlinear Fokas equation and (2+1)-dimensional breaking equations via a generalized exponential rational function (GERF) method. Many different kinds solution are obtained, all which completely novel have never been reported in literature before. dynamical behaviors some obtained also demonstrated by choice appropriate values free constants that aid understanding complex phenomena such...

10.1088/1572-9494/ac11ee article EN Communications in Theoretical Physics 2021-07-07

This paper investigates the evolution dynamics of closed-form solutions for a new integrable nonlinear fifth-order equation with spatial and temporal dispersion which describes shallow water waves moving in two directions. Some novel computational soliton are obtained form exponential rational functions, trigonometric hyperbolic complex-soliton solutions. dynamical wave structures achieved evolutionary multi-wave solitons, double-solitons, triple-solitons, multiple breather-type Lump-type...

10.1016/j.rinp.2021.104453 article EN cc-by Results in Physics 2021-06-15

10.1016/j.cnsns.2006.01.013 article EN Communications in Nonlinear Science and Numerical Simulation 2006-03-10

Here, a new fractional sub-equation method with complex transform is proposed for constructing exact solutions of partial differential equations arising in plasma physics the sense modified Riemann–Liouville derivative, which version known DξαG(ξ)G(ξ) method. To illustrate validity this method, we apply it to space–time KdV equation on dust ion acoustic waves dusty and Boussinesq equation. The approach efficient powerful solving wide classes nonlinear evolution order equations. obtained here...

10.1016/j.joes.2017.09.002 article EN cc-by-nc-nd Journal of Ocean Engineering and Science 2017-09-18

In this paper, we investigate distinct novel analytical and semi-analytical solutions of the higher-order nonlinear Schrödinger equation with non-Kerr term by employment there different schemes. These schemes are generalized auxiliary method, exp--ϕξ expansion Adomain decomposition method that considered as useful tools in field. The suggested model study is used to explore dynamics light pulses for sub-10-fs-pulse propagation framework computational simulations. primary research our focuses...

10.1016/j.rinp.2020.103000 article EN cc-by-nc-nd Results in Physics 2020-02-15

Based on the work of Atangana-Baleanu [Open Math. 13 1 (2015)] we obtain new solutions space-time fractional nonlinear Schrödinger equation, where G'G2-expansion and generalised Kurdyashov methods are suggested. The results obtained here include hyperbolic, rational trigonometric functions. Also, behavior is tested with changing values order, can note that reduced back to reported previously normal case i.e, α = β 1, say order be used as a controlling parameter system solutions. We see from...

10.1016/j.rinp.2019.102895 article EN cc-by-nc-nd Results in Physics 2019-12-28

New soliton solutions of fractional Jaulent-Miodek (JM) system are presented via symmetry analysis and logistic function methods. Fractional Lie is unified with method. Conservation laws the used to obtain new conserved vectors. Numerical simulations JM equations efficiency methods presented. These might be imperative significant for explanation some practical physical phenomena. The results show that present powerful, competitive, reliable, easy implement nonlinear differential equations.

10.3390/sym12061001 article EN Symmetry 2020-06-12

The mathematical modeling of physical systems is generally governed by evolution equations in nonlinear form. Therefore, it critical to obtain exact analytical solutions these equations. This paper contains the application improved (G′/G)-expansion and extended methods for establishing new a equation. Mainly, have been applied time-fractional Kaup-Kupershmidt equation getting some general forms solutions. Here, algorithms provide more convenient systematically handling solution process non-linear

10.1016/j.aej.2020.06.043 article EN cc-by-nc-nd Alexandria Engineering Journal 2020-07-04

10.1016/j.padiff.2024.101070 article EN cc-by-nc-nd Partial Differential Equations in Applied Mathematics 2025-01-01
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