All Stories

  1. Stable and Convergent High-Order Numerical Schemes for Parabolic Integro-Differential Equations with Small Coefficients

    Article • Symmetry, September 2025, MDPI AG

    Dr. Khalil Al-Ghafri

  2. Cubic-Quartic Optical Solitons in Birefringent Fibers with Non-Local Law Nonlinearity

    Article • August 2025, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Khalil Al-Ghafri

  3. Cubic-Quartic Optical Solitons in Birefringent Fibers with Non-Local Law Nonlinearity

    Article • August 2025, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Khalil Al-Ghafri

  4. Chirped Soliton Perturbation and Benjamin–Feir Instability of Chen–Lee–Liu Equation with Full Nonlinearity

    Article • Mathematics, July 2025, MDPI AG

    Dr. Khalil Al-Ghafri

  5. Sub-pico-second chirped optical solitons in birefringent fibers for space–time fractional Kaup-Newell equation

    Article • Journal of the European Optical Society Rapid Publications, January 2025, EDP Sciences

    Dr. Khalil Al-Ghafri

  6. Even-Order Delay Differential Equations with <i>p</i>-Laplacian Like Operator: New Oscillation Criteria

    Article • Contemporary Mathematics, December 2024, Universal Wiser Publisher Pte. Ltd

    Dr. Khalil Al-Ghafri

  7. Advanced Differential Equations with Canonical Operators: New Criteria for the Oscillation

    Article • Fractal and Fractional, November 2024, MDPI AG

    Dr. Khalil Al-Ghafri

  8. Differential Equations of Fourth-Order with p-Laplacian-like Operator: Oscillation Theorems

    Article • Mathematics, November 2024, MDPI AG

    Dr. Khalil Al-Ghafri

  9. Oscillation of 3 rd order non-canonical delay differential equations of limited neutral coefficient

    Article • Journal of Mathematics and Computer Science, November 2024, International Scientific Research Publications MY SDN. BHD.

    Dr. Khalil Al-Ghafri

  10. Chirped gray and singular optical solitons with generalized quadratic-cubic law of self-phase modulation and nonlinear chromatic dispersion

    Article • Journal of Optics, July 2024, Springer Science + Business Media

    Dr. Khalil Al-Ghafri

  11. CUBIC-QUARTIC OPTICAL SOLITONS WITH KUDRYASHOV�S LAW OF SELF-PHASE MODULATION

    Article • Ukrainian Journal of Physical Optics, January 2024, Institute of Physical Optics

    Dr. Khalil Al-Ghafri

  12. Chirped Optical Solitons in Fiber Bragg Gratings with Dispersive Reflectivity

    Article • January 2024, Springer Science + Business Media

    Dr. Khalil Al-Ghafri

  13. Optical Solitons and Modulation Instability Analysis with Lakshmanan–Porsezian–Daniel Model Having Parabolic Law of Self-Phase Modulation

    Article • Mathematics, May 2023, MDPI AG

    Dr. Khalil Al-Ghafri

  14. Symmetrical Solutions for Non-Local Fractional Integro-Differential Equations via Caputo–Katugampola Derivatives

    Article • Symmetry, March 2023, MDPI AG

    Dr. Khalil Al-Ghafri

  15. Optical pulses in fiber medium dominated by an integrable (2+1)-dimensional nonlinear Schrödinger system

    Article • January 2023, American Institute of Physics

    Dr. Khalil Al-Ghafri

  16. Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index

    Article • Journal of the European Optical Society Rapid Publications, January 2023, EDP Sciences

    Dr. Khalil Al-Ghafri

  17. Chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity

    Article • Journal of the European Optical Society Rapid Publications, January 2023, EDP Sciences

    Dr. Khalil Al-Ghafri

  18. Optical Bullets and Their Modulational Instability Analysis

    Article • Applied Sciences, September 2022, MDPI AG

    Dr. Khalil Al-Ghafri

  19. Half-linear differential equations of fourth order: oscillation criteria of solutions

    Article • Advances in Continuous and Discrete Models, March 2022, Springer Science + Business Media

    Dr. Khalil Al-Ghafri

  20. Nonlinear Stability and Linear Instability of Double-Diffusive Convection in a Rotating with LTNE Effects and Symmetric Properties: Brinkmann-Forchheimer Model

    Article • Symmetry, March 2022, MDPI AG

    Dr. Khalil Al-Ghafri

  21. Symmetric and Non-Oscillatory Characteristics of the Neutral Differential Equations Solutions Related to p-Laplacian Operators

    Article • Symmetry, March 2022, MDPI AG

    Dr. Khalil Al-Ghafri

  22. Chiral solitons with W-shaped and other profiles in (1 + 2) dimensions

    Article • The European Physical Journal Plus, January 2022, Springer Science + Business Media

    Prof.Dr. Ahmet Bekir, Dr. Khalil Al-Ghafri

  23. Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation

    Article • Journal of the European Optical Society Rapid Publications, January 2022, EDP Sciences

    Dr. Khalil Al-Ghafri

  24. Solitons and modulation instability of the perturbed Gerdjikov–Ivanov equation with spatio-temporal dispersion

    Article • Chaos Solitons & Fractals, December 2021, Elsevier

    Dr. Khalil Al-Ghafri

  25. Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions

    Article • Symmetry, October 2021, MDPI AG

    Dr. Khalil Al-Ghafri

  26. New Criteria for Oscillation of Half-Linear Differential Equations with p-Laplacian-like Operators

    Article • Mathematics, October 2021, MDPI AG

    Dr. Khalil Al-Ghafri

  27. Pure-cubic optical solitons by Jacobi’s elliptic function approach

    Article • Optik, October 2021, Elsevier

    Dr. Khalil Al-Ghafri

  28. W-shaped and other solitons in optical nanofibers

    Article • Results in Physics, April 2021, Elsevier

    Dr. Khalil Al-Ghafri

  29. Comment on: “Exact analytic solitary wave solutions for the RKL model” [Math. Comput. Simulation 80 (4) (2009) 849–854]

    Article • Mathematics and Computers in Simulation, March 2021, Elsevier

    Dr. Khalil Al-Ghafri

  30. Soliton structures in optical fiber communications with Kundu–Mukherjee–Naskar model

    Article • Open Physics, January 2021, De Gruyter

    Dr. Khalil Al-Ghafri

  31. Optical Solitons in Metamaterials Dominated by Anti-cubic Nonlinearity and Hamiltonian Perturbations

    Article • International Journal of Applied and Computational Mathematics, September 2020, Springer Science + Business Media

    Dr. Khalil Al-Ghafri

  32. Chirped optical soliton perturbation of Fokas–Lenells equation with full nonlinearity

    Article • Advances in Difference Equations, April 2020, Springer Science + Business Media

    Dr. Khalil Al-Ghafri

  33. Soliton Behaviours for the Conformable Space–Time Fractional Complex Ginzburg–Landau Equation in Optical Fibers

    Article • Symmetry, February 2020, MDPI AG

    Dr. Khalil Al-Ghafri

  34. Solitons and other solutions of (3 + 1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation

    Article • Applied Mathematics and Nonlinear Sciences, July 2019, De Gruyter

    Dr. Khalil Al-Ghafri

  35. Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity

    Article • Journal of Applied Mathematics, February 2019, Hindawi Publishing Corporation

    Dr. Khalil Al-Ghafri

  36. Optical solitons having anti-cubic nonlinearity with a couple of exotic integration schemes

    Article • Optik, November 2018, Elsevier

    Dr. Khalil Al-Ghafri

  37. Solitary wave solutions of two KdV-type equations

    Article • Open Physics, May 2018, De Gruyter

    Dr. Khalil Al-Ghafri

  38. Optical solitons for the cubic–quintic nonlinear Schrödinger equation

    Article • January 2018, American Institute of Physics

    Dr. Khalil Al-Ghafri

  39. Solitons of generalised Klein-Gordon and Kadomtsov–Petviashvili Benjamin–Bona–Mahony equations

    Article • Waves in Random and Complex Media, June 2017, Taylor & Francis

    Dr. Khalil Al-Ghafri

  40. Jacobi elliptic function solutions of modified K(n, n) and K(n + 1, n + 1) equations

    Article • International Journal of Mathematical Analysis, January 2016, Hikari, Ltd.

    Dr. Khalil Al-Ghafri

  41. The travelling wave solutions of Zoomeron equation

    Article • Far East Journal of Applied Mathematics, July 2015, Pushpa Publishing House

    Dr. Khalil Al-Ghafri

  42. Standing Slow MHD Waves cooling solar coronal loops

    Article • Journal of Astrophysics and Astronomy, June 2015, Springer Science + Business Media

    Dr. Khalil Al-Ghafri

  43. Exact Solutions of the Thomas Equation

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, January 2015, De Gruyter

    Dr. Khalil Al-Ghafri

  44. standing slow magnetosonic waves in coronal magnetic loops

    Article • The Astrophysical Journal, April 2014, Institute of Physics Publishing

    Dr. Khalil Al-Ghafri

  45. Analytic Solutions of the Thomas Equation

    Article • International Journal of Applied Mathematical Research, March 2013, Science Publishing Corporation

    Dr. Khalil Al-Ghafri

  46. standing acoustic (i.e. longitudinal) modes generated in a hot coronal loop

    Article • Solar Physics, February 2013, Springer Science + Business Media

    Dr. Khalil Al-Ghafri

  47. Propagation of MHD waves in a magnetised plasma of hot coronal loops

    Article • Solar Physics, July 2011, Springer Science + Business Media

    Dr. Khalil Al-Ghafri