All Stories

  1. Solitons and travelling wave solutions for Painlevé integrable (3+1)-dimensional Estevez-Prada equation

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, March 2025, Emerald

    Abdul-Majid Wazwaz

  2. Extended (3 + 1)-dimensional Kairat-II and Kairat-X equations: Painlevé integrability, multiple soliton solutions, lump solutions, and breather wave solutions

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, April 2024, Emerald

    Abdul-Majid Wazwaz

  3. On the Painlevé integrability and nonlinear structures to a (3 + 1)-dimensional Boussinesq-type equation in fluid mediums: Lumps and multiple soliton/shock solutions

    Article • Physics of Fluids, March 2024, American Institute of Physics

    Abdul-Majid Wazwaz, Samir El-Tantawy

  4. A Hamiltonian equation produces a variety of Painlevé integrable equations: solutions of distinct physical structures

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, January 2024, Emerald

    Abdul-Majid Wazwaz

  5. Physical multiple shock solutions to the integrability of linear structures of Burgers hierarchy

    Article • Physics of Fluids, December 2023, American Institute of Physics

    Abdul-Majid Wazwaz

  6. On the Painlevé integrability of three-extensions to Mikhailov–Novikov–Wang equations: Multiple solitons, shocks, and other physical solutions

    Article • Physics of Fluids, November 2023, American Institute of Physics

    Abdul-Majid Wazwaz

  7. Study on (3+1)-dimensional nonlocal Boussinesq equation: multiple soliton solutions

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, September 2023, Emerald

    Abdul-Majid Wazwaz

  8. Study on extensions of (modified) Korteweg–de Vries equations: Painlevé integrability and multiple soliton solutions in fluid mediums

    Article • Physics of Fluids, September 2023, American Institute of Physics

    Abdul-Majid Wazwaz

  9. Analytical study on two new (3 + 1)-dimensional Painlevé integrable equations: Kink, lump, and multiple soliton solutions in fluid mediums

    Article • Physics of Fluids, September 2023, American Institute of Physics

    Abdul-Majid Wazwaz

  10. Integrability of linear structure of components of modified Korteweg–De Vries hierarchy: multiple soliton solutions and breathers solutions

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, June 2023, Emerald

    Abdul-Majid Wazwaz

  11. New (3+1)-dimensional integrable fourth-order nonlinear equation: lumps and multiple soliton solutions

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, August 2021, Emerald

    Abdul-Majid Wazwaz

  12. New integrable (2+1)- and (3+1)-dimensional shallow water wave equations: multiple soliton solutions and lump solutions

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, May 2021, Emerald

    Abdul-Majid Wazwaz

  13. A new (3 + 1)-dimensional Painlevé-integrable Sakovich equation: multiple soliton solutions

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, January 2021, Emerald

    Abdul-Majid Wazwaz

  14. A variety of completely integrable Calogero–Bogoyavlenskii–Schiff equations with time-dependent coefficients

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, April 2020, Emerald

    Abdul-Majid Wazwaz

  15. Painlevé analysis for new (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equations with constant and time-dependent coefficients

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, December 2019, Emerald

    Abdul-Majid Wazwaz

  16. Two new Painlevé-integrable extended Sakovich equations with (2 + 1) and (3 + 1) dimensions

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, September 2019, Emerald

    Abdul-Majid Wazwaz

  17. Two new integrable modified KdV equations, of third-and fifth-order, with variable coefficients: multiple real and multiple complex soliton solutions

    Article • Waves in Random and Complex Media, June 2019, Taylor & Francis

    Abdul-Majid Wazwaz

  18. Einstein's vacuum field equation: Painlevé analysis and Lie symmetries

    Article • Waves in Random and Complex Media, February 2019, Taylor & Francis

    Abdul-Majid Wazwaz

  19. Two new integrable Kadomtsev–Petviashvili equations with time-dependent coefficients: multiple real and complex soliton solutions

    Article • Waves in Random and Complex Media, December 2018, Taylor & Francis

    Abdul-Majid Wazwaz

  20. A variety of multiple-soliton solutions for the integrable (4+1)-dimensional Fokas equation

    Article • Waves in Random and Complex Media, December 2018, Taylor & Francis

    Abdul-Majid Wazwaz

  21. New exact solutions to extended (3 + 1)-dimensional Jimbo-Miwa equations by using bilinear forms

    Article • Mathematical Methods in the Applied Sciences, August 2018, Wiley

    Abdul-Majid Wazwaz

  22. Construction of exact solutions in a magneto-electro-elastic circular rod

    Article • Waves in Random and Complex Media, August 2018, Taylor & Francis

    Abdul-Majid Wazwaz, Dr Mohammad Taghi Darvishi

  23. A new integrable equation that combines the KdV equation with the negative-order KdV equation

    Article • Mathematical Methods in the Applied Sciences, September 2017, Wiley

    Abdul-Majid Wazwaz

  24. Exact Soliton and Kink Solutions for New (3+1)-Dimensional Nonlinear Modified Equations of Wave Propagation

    Article • Open Engineering, July 2017, De Gruyter

    Abdul-Majid Wazwaz

  25. Negative-order KdV equations in (3+1) dimensions by using the KdV recursion operator

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

    Abdul-Majid Wazwaz

  26. Multiple soliton solutions and other exact solutions for a two-mode KdV equation

    Article • Mathematical Methods in the Applied Sciences, January 2016, Wiley

    Abdul-Majid Wazwaz

  27. New (3+1)-dimensional nonlinear equations with KdV equation constituting its main part: multiple soliton solutions

    Article • Mathematical Methods in the Applied Sciences, May 2015, Wiley

    Abdul-Majid Wazwaz

  28. On the Adomian decomposition method for solving the Stefan problem

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, May 2015, Emerald

    Lazhar Bougoffa, Abdul-Majid Wazwaz, Dr Junsheng Duan

  29. Negative-order modified KdV equations: multiple soliton and multiple singular soliton solutions

    Article • Mathematical Methods in the Applied Sciences, April 2015, Wiley

    Abdul-Majid Wazwaz

  30. The Variational Iteration Method for Solving New Fourth-Order Emden–Fowler Type Equations

    Article • Chemical Engineering Communications, September 2014, Taylor & Francis

    Abdul-Majid Wazwaz

  31. On the Solution of Non-Isothermal Reaction-Diffusion Model Equations in a Spherical Catalyst by the Modified Adomian Method

    Article • Chemical Engineering Communications, September 2014, Taylor & Francis

    Abdul-Majid Wazwaz

  32. A variety of (3 + 1)-dimensional Burgers equations derived by using the Burgers recursion operator

    Article • Mathematical Methods in the Applied Sciences, August 2014, Wiley

    Abdul-Majid Wazwaz

  33. Integrable couplings of the generalized Vakhnenko equation: multiple soliton solutions

    Article • Journal of Vibration and Control, June 2014, SAGE Publications

    Abdul-Majid Wazwaz

  34. A study on the systems of the Volterra integral forms of the Lane–Emden equations by the Adomian decomposition method

    Article • Mathematical Methods in the Applied Sciences, March 2013, Wiley

    Abdul-Majid Wazwaz

  35. A variety of distinct kinds of multiple soliton solutions for a ( 3 + 1)‐dimensional nonlinear evolution equation

    Article • Mathematical Methods in the Applied Sciences, June 2012, Wiley

    Abdul-Majid Wazwaz