Home \ Faculty Details \ Abdallah Mahmmood Talafha
Faculty Img

  • Phone:

    ext. 4367

  • Email:

    atalafha@pmu.edu.sa

  • Office No:

    F106

  • Abdallah Mahmmood Talafha

  • Job Title :

    Associate Professor

  • College :

    College of Sciences and Human Studies


  • Department :

    Mathematics & Natural Sciences


I'm an Associate Professor in the Department of Mathematics and Natural Sciences at PMU. I earned my Ph.D. in Mathematics from Southern Illinois University Carbondale in 2014, where my dissertation focused on the Modified Stochastic Sine-Gordon Equation, reflecting my strong interest in stochastic analysis and nonlinear differential equations. 

I have held several academic positions, including roles at Culver-Stockton College and Quincy University, where I advanced to a tenured Associate Professor and served as Department Chair.

My teaching spans a wide range of courses, from foundational mathematics to advanced subjects such as differential equations, linear algebra, statistics, and actuarial science.

My research focuses on stochastic analysis, partial differential equations, and mathematical physics. I have published numerous peer-reviewed articles in recent years, exploring nonlinear wave equations, chaos, bifurcation, and soliton dynamics, often connecting theoretical mathematics with applications in physics, engineering, and finance.

In addition to teaching and research, I am actively involved in curriculum development, academic advising, and interdisciplinary projects, including federally funded research in statistical modeling, big data analysis, and reliability assessment. I remain committed to teaching excellence, continuous professional development, and contributing to the advancement of mathematics and its applications.

  1. Sağlam FNK, Movaheedi Z, Talafha AM, Kopçasız B, Malik S (2025). Different types of soliton solutions for the resonant nonlinear Schrödinger equation with parabolic law nonlinearity via Kumar–Malik approach. Arab J Basic Appl Sci 32(1): 361–373.
  2. Malik S, Boulaaras SM, Talafha AM, Sağlam FNK (2025). Soliton dynamics of the fourth-order nonlinear Boussinesq equation arising in shallow-water via advanced analytical techniques. Sci Rep.
  3. Ansari AR, Jhangeer A, Imran M, Talafha AM (2025). Exploring the dynamics of multiplicative noise on the fractional stochastic Fokas–Lenells equation. Partial Differ Equ Appl Math 14: 101232.
  4. Jhangeer A, Talafha AM, Rahimzai AA, Říha L (2025). Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity. Discover Appl Sci 7(1): 76.
  5. Jhangeer A, Beenish, Talafha AM, Ansari AR (2025). Analytical solutions and dynamical behaviors of the extended Bogoyavlensky–Konopelchenko equation in deep water dynamics. Phys Scr 100(1): 015279.
  6. Jhangeer A, Beenish, Talafha AM, Ansari AR, Imran M (2024). Analytical and dynamical analysis of nonlinear Riemann wave equation in plasma systems. Arab J Basic Appl Sci 31(1): 536–553.
  7. Jhangeer A, Ehsan H, Riaz MB, Talafha AM (2024). Impact of fractional and integer order derivatives on the (4+1)-dimensional fractional Davey–Stewartson–Kadomtsev–Petviashvili equation. Partial Differ Equ Appl Math 12: 100966.
  8. Jhangeer A, Jamal T, Talafha AM, Riaz MB (2024). Exploring travelling wave solutions, bifurcation, chaos, and sensitivity analysis in the (3+1)-dimensional gKdV-ZK model using Lie symmetry methodology. Results Eng 22: 102194.
  9. Jhangeer A, Ansari AR, Imran M, Riaz MB, Talafha AM (2024). Application of propagating solitons to Ivancevic option pricing model and construction of first integral via Nucci’s direct reduction approach. Ain Shams Eng J 15(4): 102615.
  10. Talafha AM, Jhangeer A, Kazmi SS (2023). Dynamical analysis of (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation using Lie symmetry approach. Ain Shams Eng J 14(11): 102537.
  11. Schurz H, Talafha AM (2021). Existence, uniqueness, and energy of approximate Fourier solutions of modified stochastic sine-Gordon equation with power-law nonlinearity in 1D. Int J Appl Comput Math 7(4): 126.
  12. Schurz H, Talafha AM (2016). Existence, uniqueness, and energy of modified stochastic sine-Gordon equation wit multiplicative noise on one-dimensional domain. Probab Algebra Geom Struct 668: 179–197.