Research Assistant at Department of Mathematical Sciences, University of Engineering and Technology, Taxila, Pakistan
Zia Ur Rehman is a dedicated researcher and academic in the field of mathematics, with a special focus on nonlinear dynamical systems. He has cultivated a robust foundation in mathematical analysis, soliton theory, and nonlinear wave structures through rigorous academic and professional experiences. Holding a Master of Science degree in Mathematics from the University of Engineering and Technology (UET), Taxila, Pakistan, Zia’s scholarly pursuits delve into the study of nonlinear partial differential equations and the exploration of their exact and numerical solutions. His work often illustrates solutions as solitons—localized wave packets exhibiting stability and coherence—and contributes to the understanding of complex behaviors such as bifurcations, periodicity, and chaos in nonlinear systems.
Profile
Orcid
Education
Zia’s academic journey began with a Bachelor of Science degree in Mathematics from the University of Sargodha, Pakistan, where he laid the groundwork in classical and applied mathematical theory. He advanced his academic excellence during his MS studies at UET Taxila, where he graduated with a CGPA of 3.42 out of 4.00. His thesis, titled Phase Portraits of Plasma Wave in Electron-Positron-Ion with Construction of Solitons Solution, tackled the nonlinear Schrödinger and FitzHugh–Nagumo equations, yielding various solitonic structures and bifurcation analyses that modeled complex dynamic behaviors in plasma systems. These academic achievements are supported by his consistent performance in earlier education, including intermediate studies at Govt. Degree College Isa Khel and matriculation from Govt. High School Isa Khel.
Experience
Professionally, Zia Ur Rehman has accumulated diverse teaching experience across several institutions. Currently, he serves as a Visiting Lecturer in the Department of Mathematical Sciences at UET Taxila, a position he has held since August 2023. Concurrently, he teaches at Scholar Science College, Taxila, as a Math Lecturer. His prior roles include mathematics teaching positions at KIPS College and the Government College of Technology (GCT), both located in Taxila. These roles have honed his pedagogical skills and deepened his capacity to translate complex mathematical concepts into accessible knowledge for students. His commitment to mathematics education is evidenced not only in the classroom but also through his involvement in academic development, including completing an online course on Coursera titled Introduction to Calculus.
Research Interest
Zia’s research interests lie in the domain of nonlinear dynamics, particularly within the contexts of wave propagation, bifurcation phenomena, and multistability in engineering and physical systems. He focuses on finding soliton solutions to nonlinear equations, studying the robustness of nonlinear processes, and constructing phase portraits that visually represent dynamic system behaviors. His work often engages with the intricate modeling of wave structures within plasma and electromagnetic environments, offering insights into the stability and evolution of such systems under perturbations. His recent explorations include the Lakshmanan–Porsezian–Daniel model and the use of Galilean transformations to analyze solution transitions.
Awards
While formal awards were not explicitly mentioned, Zia’s achievements are reflected in his academic performance, teaching roles at reputable institutions, and his consistent publication record in high-impact international journals. His inclusion in research-led institutions and recognition through citations demonstrate his standing within the scientific community.
Publications
Zia has published extensively in recognized international journals. Notable publications include:
-
“Nonlinear wave dynamics and multistability in engineering electromagnetics: Numerical analysis of perturbed and un-perturbed systems within the Higgs field”, 2025, Results in Engineering, cited by 9 articles.
-
“Analytic solutions and multi-stable chaotic dynamics in perturbed and unperturbed nonlinear electromagnetic wave systems for engineering applications”, 2025, Results in Engineering, cited by 6 articles.
-
“Dynamical Systems with Fractional Derivatives: Focus on Phase Portraits and Plasma Wave Propagation Using Lakshmanan–Porsezian–Daniel Model”, 2025, Axioms, cited by 4 articles.
-
“Non-Linear Plasma Wave Dynamics: Investigating Chaos in Dynamical Systems”, 2024, Mathematics, cited by 11 articles.
-
“Non-linear Electromagnetic Wave Dynamics: Investigating Periodic and Quasi-Periodic Behavior in Complex Engineering Systems”, 2024, Chaos, Solitons & Fractals, cited by 10 articles.
-
“Bifurcation analysis and multi-stability of chirped form optical solitons with phase portrait”, 2024, Results in Engineering, cited by 5 articles.
-
“Bifurcation and multi-stability analysis of microwave engineering systems: Insights from the Burger–Fisher equation”, 2024, Physica Scripta, cited by 7 articles.
These publications are widely recognized for their methodological depth and practical implications in engineering and applied physics.
Conclusion
Zia Ur Rehman represents a new generation of mathematicians committed to solving real-world problems through rigorous theoretical analysis and innovative visualization techniques. His dedication to nonlinear system analysis, active publication in peer-reviewed journals, and hands-on teaching experience make him a strong contributor to the field of applied mathematics. Through both his academic research and classroom instruction, he continues to build a meaningful career advancing knowledge in nonlinear dynamics and mathematical modeling.