Assistant Professor , Grand Asian university Sialkot , Pakistan
Dr. Shafqat-ur-Rehman 🧠 is a passionate and prolific researcher in the field of nonlinear wave theory, optical solitons 🌊, and mathematical physics. With over a decade of experience in applied mathematics and fiber optics, he has significantly contributed to the study of soliton dynamics, modulation instability, and Schrödinger-type equations 🔬. His numerous peer-reviewed publications in journals like Physica Scripta, Alexandria Engineering Journal, and Modern Physics Letters B showcase his global impact 📚🌍. Dr. Rehman is dedicated to advancing knowledge in mathematical modeling and has earned respect in the academic and engineering communities 🏅.
Professional Profile
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Education & Experience
Dr. Rehman obtained his academic training in mathematics and applied physics, culminating in a Ph.D. in Applied Mathematics 🎓. He has held academic and research positions at reputable institutions, contributing to various national and international projects on nonlinear waves and optics 🌐. With experience spanning more than 10 years, he has co-authored studies on soliton dynamics, wave propagation, and fractional calculus 📘. His collaborative work across countries and journals has made him a sought-after voice in the mathematical physics domain 🧮. He combines academic depth with a real-world approach to problem-solving in optical engineering and nonlinear dynamics 🔧🌟.
Professional Development
Dr. Rehman has demonstrated continuous professional growth through collaborations, advanced modeling techniques, and international publication success 📊🧑💼. He has co-developed models for perturbed nonlinear Schrödinger equations and contributed to fiber optic design through stability analysis and soliton exploration 🌍💡. His proficiency in modern mathematical tools, analytical methods, and symbolic computation has made him a mentor to many early-career researchers 👨🏫. He has presented at academic conferences and actively participates in the peer-review process for high-impact journals ✍️🗂️. His professional journey reflects commitment, scientific curiosity, and leadership in nonlinear wave research 🔄📉.
Research Focus
Dr. Rehman’s research revolves around nonlinear partial differential equations, particularly the Schrödinger-type models, soliton theory, and modulation instability in optical fibers 🔬🌐. He specializes in exploring the dynamics of bright-dark solitons, Gaussian wave structures, and chiral effects in (2+1)D and (3+1)D systems 📈💡. His work also touches on stochastic equations, fractional calculus, and birefringent fiber modeling, contributing to a better understanding of wave propagation, optical communication, and fiber stability 📡🌊. With a blend of analytical and numerical methods, Dr. Rehman pushes the frontiers of mathematical physics, soliton interactions, and nonlinear dynamics 🚀🧠.
Awards and Honors
Dr. Shafqat-ur-Rehman has received broad recognition for his impactful work in nonlinear optics and mathematical physics 🏆. He has consistently ranked among top contributors in journals such as Physica Scripta, Optik, and Communications in Theoretical Physics, reflecting high citation counts and scholarly influence 📊📚. His research has attracted attention for solving complex equations using novel techniques and analytical frameworks 🧪. Though not all awards may be publicly listed, his frequent collaborations, editorial contributions, and international co-authorship signify prestige in academic circles 🌍📝. He continues to inspire through excellence in theoretical modeling and applied mathematics 🥇
Publication Top Notes
1. Modulation Instability Analysis and Longitudinal Wave Propagation in an Elastic Cylindrical Rod Modeled with the Pochhammer–Chree Equation
Citation:
A.R. Seadawy, S.U. Rehman, M. Younis, S.T.R. Rizvi, S. Althobaiti, M.M. Makhlouf. Physica Scripta, 96(4): 045202, 2021. (125 citations) discovery.researcher.life+10scholar.google.com+10ww2.comsats.edu.pk+10
Summary:
This study explores solitary wave propagation in cylindrical elastic rods using the nonlinear Pochhammer–Chree equation. Through the innovative Φ⁶-model expansion method, the authors derive a variety of analytical solutions—including bright-dark, kink, singular, rational, trigonometric, and Jacobi elliptic solitons. Additionally, a thorough modulation instability (MI) analysis was conducted, supported by 2D and 3D profile visualizations. This work enhances understanding of stability regimes and wave dynamics, offering a powerful symbolic-computation approach for complex wave modeling in elastic media sciencedirect.com+15colab.ws+15kiphub.com+15.
2. Modulation Instability Analysis, Optical and Other Solutions to the Modified Nonlinear Schrödinger Equation
Citation:
M. Younis, T.A. Sulaiman, M. Bilal, S.U. Rehman, U. Younas. Communications in Theoretical Physics, 72(6): 065001, 2020. (109 citations)
Summary:
This paper presents an in-depth analytical investigation of the modified nonlinear Schrödinger equation. The authors obtain diverse optical solutions, including bright, dark, and hybrid forms. They also explore modulation instability mechanisms, offering vital insights for practical fiber optic systems. The results advance theoretical modeling of light–matter interactions under nonlinear effects in optics.
3. Optical Bright–Dark and Gaussian Soliton with Third-Order Dispersion
Citation:
M. Younis, U. Younas, S. ur Rehman, M. Bilal, A. Waheed. Optik, 134: 233–238, 2017. (96 citations)
Summary:
The authors investigate soliton behavior under the influence of third-order dispersion. They derive explicit bright-dark and Gaussian-type solitons, revealing how higher-order dispersion shapes soliton profiles. This work helps model ultra-short pulse evolution in nonlinear optical fibers—a key aspect of high-speed communications.
4. Dynamics of Soliton Solutions in Optical Fibers Modeled by Perturbed Nonlinear Schrödinger Equation and Stability Analysis
Citation:
S. Akram, J. Ahmad, S. Sarwar, A. Ali. Optical and Quantum Electronics, 55(5): 450, 2023. (75 citations)
Summary:
Examines dynamic behavior and stability of solitons under various perturbations in fiber systems. Analytical and numerical stability evaluation helps clarify robustness of soliton solutions in realistic optical environments.
5. New Exact Traveling Wave Solutions to the (2+1)-Dimensional Chiral Nonlinear Schrödinger Equation
Citation:
H. Rezazadeh, M. Younis, M. Eslami, M. Bilal, U. Younas. Mathematical Modelling of Natural Phenomena, 16: 38, 2021. (72 citations)
Summary:
Derives new exact traveling wave solutions in (2+1)D chiral nonlinear Schrödinger systems, relevant to fractional quantum Hall edge-state models. Includes parameter-based solution families and stability criteria.
6. New Exact Solitary Wave Solutions for the 3D‑FWBBM Model in Arising Shallow Water Waves by Two Analytical Methods
Citation:
M. Bilal, J. Ahmad. Results in Physics, 25: 104230, 2021. (54 citations)
Summary:
Introduces novel analytical solutions for the 3D Five-Wave Benjamin–Bona–Mahony shallow-water wave model, employing two independent methods. Solutions provide insights into 3D wave dynamics in fluids.
7. Diverse Optical Solitons to Nonlinear Perturbed Schrödinger Equation with Quadratic‑Cubic Nonlinearity via Two Efficient Approaches
Citation:
S.U. Rehman, J. Ahmad. Physica Scripta, 98(3): 035216, 2023. (53 citations)
Summary:
Presents multiple optical soliton solutions—including bright, dark, and mixed types—in nonlinear Schrödinger equations with quadratic-cubic terms. Compares two analytical techniques, enriching soliton modeling strategies.
8. Modulation Instability Analysis and Optical Solitons in Birefringent Fibers to RKL Equation Without Four‑Wave Mixing
Citation:
S. ur Rehman, J. Ahmad. Alexandria Engineering Journal, 60(1): 1339–1354, 2021. (49 citations)
Summary:
Investigates MI and soliton dynamics in birefringent optical fibers governed by the Radhakrishnan–Kundu–Lakshmanan (RKL) equation, excluding four-wave mixing. Analytical MI bands and soliton profiles are detailed.
9. Dynamics of Novel Exact Soliton Solutions to Stochastic Chiral Nonlinear Schrödinger Equation
Citation:
S.U. Rehman, J. Ahmad, T. Muhammad. Alexandria Engineering Journal, 79: 568–580, 2023. (46 citations)
Summary:
Focuses on stochastic chiral nonlinear Schrödinger equations, deriving new exact soliton forms. Addresses impacts of randomness on soliton stability and dynamics.
10. Investigation of Optical Solitons in Birefringent Polarization‑Preserving Fibers with Four‑Wave Mixing Effect
Citation:
M. Younis, M. Bilal, S. ur Rehman, U. Younas, S.T.R. Rizvi. International Journal of Modern Physics B, 34(11): 2050113, 2020. (46 citations)
Summary:
Explores complex soliton productions involving four-wave mixing in birefringent fibers. Analytical treatment reveals interactions among polarization modes and nonlinear effects.
11. The Study of Solitary Wave Solutions to the Time-Conformable Schrödinger System by a Powerful Computational Technique
Citation:
S.U. Rehman, M. Bilal, J. Ahmad. Optical and Quantum Electronics, 54(4): 228, 2022. (45 citations)
Summary:
Derives solitary wave solutions for time-conformable Schrödinger systems using a computational symbolic method. Focuses on fractional-time dynamics with soliton relevance.
12. Modulation Instability Analysis and Optical Solitons of the Generalized Model for Pulse Propagation in Optical Fiber with Four Nonlinear Terms
Citation:
S.U. Rehman, A.R. Seadawy, M. Younis, S.T.R. Rizvi, T.A. Sulaiman, A. Yusuf. Modern Physics Letters B, 35(6): 2150112, 2021. (44 citations)
Summary:
Addresses a generalized pulse propagation model including four nonlinearities. Analytical MI spectra and soliton constructions are provided.
Conclusion
Dr. Shafqat-ur-Rehman’s research is not only innovative and theoretically rigorous, but also practically relevant to modern engineering and physics problems. His ability to bridge abstract mathematics with physical phenomena, and his contributions to the frontier of nonlinear optics, make him highly deserving of the Innovative Research Award. His work demonstrates originality, impact, and sustained excellence in advancing the state of knowledge in his field.