ODEs, PDEs, fractional differential equations, integral equations and analytic methods.
Subject:
exact solutions of partial differential equations in mathematical physics.
Main publications:
\begin{thebibliography}{9}
Rizvi, S.T.R., Ali, K., Akram, U., ...Bekir, A., Seadawy, A.R., Stability analysis and solitary wave solutions for Yu Toda Sasa Fukuyama equation, Nonlinear Dynamics, 2025, 113(3), pp. 2611–2623, 012033\Bibitem{1}
\by Rizvi, S.T.R., Ali, K., Akram, U., ...Bekir, A., Seadawy, A.R.,
\paper Stability analysis and solitary wave solutions for Yu Toda Sasa Fukuyama equation
\jour Nonlinear Dynamics
\yr 2025
\vol 113
\issue 3
\pages 2611–2623
\Bibitem{2}
\by Rizvi, S.T.R., Ali, K., Akram, U., ...Bekir, A., Seadawy, A.R.,
\paper Stability analysis and solitary wave solutions for Yu Toda Sasa Fukuyama equation
\jour Nonlinear Dynamics
\yr 2025
\vol 113
\issue 3
\pages 2611–2623
\RBibitem{3}
\by Alomair, A., Al Naim, A.S., Bekir, A.
\paper Exploration of Soliton Solutions to the Special Korteweg–De Vries Equation with a Stability Analysis and Modulation Instability
\jour Mathematics
\yr 2025
\vol 13
\issue 1
\pages 54
\RBibitem{4}
\by Raza, N., Jannat, N., Basendwah, G.A., Bekir, A.
\paper Dynamical analysis and extraction of solitonic structures of a novel model in shallow water waves
\jour Modern Physics Letters B
\yr 2024
\vol 38
\issue 36
\pages 2450384
\RBibitem{5}
\by Seadawy, A.R., Ali, A., Altalbe, A., Bekir, A.
\paper Exact solutions of the (3+1)-generalized fractional nonlinear wave equation with gas bubbles
A. Bekir, M. S. M. Shehata, E. H. M. Zahran, “Comparison Between the Exact Solutions
of Three Distinct Shallow Water Equations
Using the Painlevé Approach
and Its Numerical Solutions”, Rus. J. Nonlin. Dyn., 16:3 (2020), 463–477
