Home \ Faculty Details \ Abdallah Mahmmood Talafha
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  • 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- Investigating allelopathic effects and population density variations in plant competition through mathematical modeling

Publication date: 2026-07-05 Type: book-chapter

            doi: 10.1515/9783112234525-016

2- Exploring analytical soliton solutions of the Kadomtsev–Petviashvili equation by a new Kudryashov method

Publication date: 2026-07-05 Type: book-chapter

           doi: 10.1515/9783112234525-021

3- Lie symmetry analysis and exact solutions of conformable generalized fractional partial differential equations

Publication date: 2026-01 Journal: Mathematics Open Type: journal-article

        URL: https://doi.org/10.1142/S2811007226400067

        doi: https://doi.org/10.1142/S2811007226400067

4- Analytical solutions and dynamical behaviors of the extended Bogoyavlensky-Konopelchenko equation in deep water dynamics

Publication date: 2025 Journal: Physica Scripta Type: journal-article

          URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-85219541211&partnerID=MN8TOARS

doi: 10.1088/1402-4896/ad9e41 eid: 2-s2.0-85219541211

5- Different types of soliton solutions for the resonant nonlinear Schrödinger equation with parabolic law nonlinearity via Kumar–Malik approach

           Publication date: 2025

Journal: Arab Journal of Basic and Applied Sciences Type: journal-article

URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-105017705565&partnerID=MN8TOARS

  doi: 10.1080/25765299.2025.2565875 eid: 2-s2.0-105017705565

6-Exploring the dynamics of multiplicative noise on the fractional stochastic Fokas-Lenells equation

            Publication date: 2025

Journal: Partial Differential Equations in Applied Mathematics Type: journal-article

          URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-105007529978&partnerID=MN8TOARS

doi: 10.1016/j.padiff.2025.101232 eid: 2-s2.0-105007529978

7-Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity

        Publication date: 2025

Journal: Discover Applied Sciences Type: journal-article

          URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-85218045269&partnerID=MN8TOARS

doi: 10.1007/s42452-024-06359-2 eid: 2-s2.0-85218045269

8-Soliton dynamics of the fourth-order nonlinear Boussinesq equation arising in shallow-water via advanced analytical techniques

Publication date: 2025 Journal: Scientific Reports Type: journal-article

URL: https://www.scopus.com/inward/record.url?eid=2-s2.0-105026213384&partnerID=MN8TOARS

doi: 10.1038/s41598-025-30194-z eid: 2-s2.0-105026213384

9-Analytical and dynamical analysis of nonlinear Riemann wave equation in plasma systems

          Publication date: 2024

Journal: Arab Journal of Basic and Applied Sciences Type: journal-article

URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-85206262986&partnerID=MN8TOARS

doi: 10.1080/25765299.2024.2408971 eid: 2-s2.0-85206262986

10- Application of propagating solitons to Ivancevic option pricing governing model and construction of first integral by Nucci's direct reduction approach

          Publication date: 2024

Journal: Ain Shams Engineering Journal Type: journal-article

          URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-85182358574&partnerID=MN8TOARS

doi: 10.1016/j.asej.2023.102615 eid: 2-s2.0-85182358574

11- Exploring travelling wave solutions, bifurcation, chaos, and sensitivity analysis in the (3+1)-dimensional gKdV-ZK model: A comprehensive study using Lie symmetry methodology

            Publication date: 2024

Journal: Results in Engineering Type: journal-article

URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-85192330977&partnerID=MN8TOARS

doi: 10.1016/j.rineng.2024.102194 eid: 2-s2.0-85192330977

12- Impact of fractional and integer order derivatives on the (4+1)-dimensional fractional Davey–Stewartson–Kadomtsev–Petviashvili equation

          Publication date: 2024

Journal: Partial Differential Equations in Applied Mathematics Type: journal-article

         URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-85207246283&partnerID=MN8TOARS

       doi: 10.1016/j.padiff.2024.100966

13- Dynamical analysis of (4 + 1)-dimensional Davey Srewartson Kadomtsev Petviashvili equation by employing Lie symmetry approach

Publication date: 2023

Journal: Ain Shams Engineering Journal Type: journal-article

          URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-85175613220&partnerID=MN8TOARS

doi: 10.1016/j.asej.2023.102537 eid: 2-s2.0-85175613220

14- Existence, Uniqueness, and Energy of Approximate Fourier Solutions of Modified Stochastic Sine-Gordon Equation with Power-Law Nonlinearity in 1D

          Publication date: 2021

Journal: International Journal of Applied and Computational Mathematics Type: journal-article

         URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-85108122424&partnerID=MN8TOARS

doi: 10.1007/s40819-021-01067-6 eid: 2-s2.0-85108122424

 15- Existence, uniqueness, and energy of modified stochastic sine-gordon equation with multiplicative noise on one-dimensional domain

         Publication date: 2016

Journal: Contemporary Mathematics Type: book-chapter

         URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-85106790811&partnerID=MN8TOARS

doi: 10.1090/conm/668/13406 eid: 2-s2.0-85106790811