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Mostafa M. A. Khater

Mostafa M. A. Khater

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Mathematics
Egypt
2026

D-Index & Metrics

Mathematics

D-Index
57
Citations
8827
World Ranking
711
National Ranking
3

Research.com Recognitions

  • 2026 - Research.com Mathematics in Egypt Leader Award
  • 2025 - Research.com Mathematics in Egypt Leader Award
  • 2023 - Research.com Mathematics in Egypt Leader Award

Overview

Mostafa M. A. Khater is a researcher affiliated with Obour Institutes in Egypt, with a primary focus on the fields of Physics and Astronomy as well as Mathematics. Their work predominantly spans subfields such as Statistical and Nonlinear Physics, Modeling and Simulation, Atomic and Molecular Physics, and Optics, along with Mathematical Physics and Numerical Analysis.

The main topics addressed in their research include Nonlinear Waves and Solitons, Nonlinear Photonic Systems, Fractional Differential Equations Solutions, Advanced Fiber Laser Technologies, Advanced Mathematical Physics Problems, Ocean Waves and Remote Sensing, and Differential Equations and Numerical Methods.

Khater's publication record covers a range of journals, with frequent contributions in:

  • Results in Physics
  • Modern Physics Letters B
  • Optical and Quantum Electronics
  • Journal of Ocean Engineering and Science
  • AIP Advances

Recent papers authored by Khater include:

  • "Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers" (2023) published in Chaos Solitons & Fractals
  • "Physics of crystal lattices and plasma; analytical and numerical simulations of the Gilson-Pickering equation" (2023) published in Results in Physics
  • "Novel computational simulation of the propagation of pulses in optical fibers regarding the dispersion effect" (2022) published in International Journal of Modern Physics B
  • "Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method" (2021) published in Results in Physics
  • "Nonlinear dispersion in parabolic law medium and its optical solitons" (2021) published in Results in Physics

Khater collaborates frequently with several researchers, including:

  • Raghda A. M. Attia
  • Dianchen Lu
  • Suleman H. Alfalqi
  • Mustafa İnç
  • Jameel F. Alzaidi

The scope of their work addresses nonlinear phenomena and soliton dynamics, reflecting an emphasis on both theoretical and computational approaches. Key areas include the study of nonlinear waves, optical solitons in fiber systems, and simulations involving wave propagation and dispersion effects.

Khater's contributions are situated at the intersection of physics and applied mathematics, involving techniques from fractional differential equations and nonlinear photonics to analytical and numerical modeling. Their research outputs have appeared predominantly in physics and optics journals, illustrating interdisciplinary engagement with complex physical systems and advanced mathematical methods.

Best Publications

  • Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method

    M. Ali Akbar;Lanre Akinyemi;Shao-Wen Yao;Adil Jhangeer

  • Modified extended tanh-function method and its applications to the Bogoyavlenskii equation

    Emad H.M. Zahran;Mostafa M.A. Khater

  • Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers

    Unknown

  • Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method

    Mostafa M. A. Khater;Dianchen Lu;Raghda A. M. Attia;Raghda A. M. Attia

  • Nonlinear dispersion in parabolic law medium and its optical solitons

    Lanre Akinyemi;Hadi Rezazadeh;Shao-Wen Yao;M. Ali Akbar

  • Dynamical behaviour of Chiral nonlinear Schrödinger equation

    Unknown

  • Nonlinear elastic circular rod with lateral inertia and finite radius: Dynamical attributive of longitudinal oscillation

    Unknown

  • The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations

    Mahmoud A. E. Abdelrahman;Emad H. M. Zahran;Mostafa M. A. Khater

  • A study of optical wave propagation in the nonautonomous Schrödinger-Hirota equation with power-law nonlinearity

    M.S. Osman;M.S. Osman;Dianchen Lu;Mostafa M.A. Khater

  • Modified Auxiliary Equation Method versus Three Nonlinear Fractional Biological Models in Present Explicit Wave Solutions

    Mostafa M. A. Khater;Raghda A. M. Attia;Dianchen Lu

  • Elliptic and solitary wave solutions for Bogoyavlenskii equations system, couple Boiti-Leon-Pempinelli equations system and Time-fractional Cahn-Allen equation

    Mostafa M.A. Khater;Mostafa M.A. Khater;Aly R. Seadawy;Aly R. Seadawy;Dianchen Lu

  • Nonlinear biological population model; computational and numerical investigations

    Unknown

  • Complex wave structures for abundant solutions related to the complex Ginzburg–Landau model

    M.S. Osman;D. Lu;M.M.A. Khater;R.A.M. Attia;R.A.M. Attia

  • Dynamical analysis of the nonlinear complex fractional emerging telecommunication model with higher–order dispersive cubic–quintic

    Choonkil Park;Mostafa M.A. Khater;Abdel Haleem Abdel-Aty;Raghda A.M. Attia

  • New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications

    D. Lu;K.U. Tariq;K.U. Tariq;M.S. Osman;D. Baleanu

  • New exact traveling wave solutions of biological population model via the extended rational sinh-cosh method and the modified Khater method

    Hadi Rezazadeh;Alper Korkmaz;Mostafa M. A. Khater;Mostafa Eslami

  • On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equation

    Mostafa M.A. Khater;Mohamed S. Mohamed;Raghda A.M. Attia;Raghda A.M. Attia

  • Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method

    Mostafa M. A. Khater;Sadia Anwar;Kalim U. Tariq;Mohamed S. Mohamed

  • New optical solitons of perturbed nonlinear Schrödinger-Hirota equation with spatio-temporal dispersion

    Lanre Akinyemi;Hadi Rezazadeh;Qiu-Hong Shi

  • On the solitary wave solutions and physical characterization of gas diffusion in a homogeneous medium via some efficient techniques

    Mostafa M. A. Khater;Behzad Ghanbari;Behzad Ghanbari

  • Analytical and semi-analytical ample solutions of the higher-order nonlinear Schrödinger equation with the non-Kerr nonlinear term

    Mostafa M.A. Khater;Mostafa M.A. Khater;Raghda A.M. Attia;Raghda A.M. Attia;Abdel-Haleem Abdel-Aty;M.A. Abdou

  • Lump soliton wave solutions for the (2+1)-dimensional Konopelchenko–Dubrovsky equation and KdV equation

    Mostafa M. A. Khater;Dianchen Lu;Raghda A. M. Attia;Raghda A. M. Attia

  • Dispersive optical soliton solutions for higher order nonlinear Sasa-Satsuma equation in mono mode fibers via new auxiliary equation method

    Mostafa M.A. Khater;Aly R. Seadawy;Aly R. Seadawy;Dianchen Lu

  • Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-Cr-X (X=Mo, Cu)) based on ternary alloys

    D. Lu;M.S. Osman;M.S. Osman;M.M.A. Khater;R.A.M. Attia;R.A.M. Attia

Frequent Co-Authors

Dianchen Lu
Dianchen Lu Jiangsu University
Aly R. Seadawy
Aly R. Seadawy Taibah University
Dumitru Baleanu
Dumitru Baleanu Lebanese American University
Hadi Rezazadeh
Hadi Rezazadeh Amol University of Special Modern Technologies
Hichem Eleuch
Hichem Eleuch University of Sharjah
M.S. Osman
M.S. Osman Cairo University
Choonkil Park
Choonkil Park Hanyang University
M. Ali Akbar
M. Ali Akbar University of Rajshahi
Behzad Ghanbari
Behzad Ghanbari Kermanshah University of Medical Sciences
Kottakkaran Sooppy Nisar
Kottakkaran Sooppy Nisar Prince Sattam Bin Abdulaziz University

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