Assist. Prof. Dr Shafqat Ur Rehman | Applied Mathematics | Innovative Research Award

Assist. Prof. Dr Shafqat Ur Rehman | Applied Mathematics | Innovative Research Award

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.

Dr Muhammad Bilal | Applied Mathematics | Best Researcher Award

Dr Muhammad Bilal | Applied Mathematics | Best Researcher Award

Researcher , Shanghai University , China

Dr. Muhammad Bilal 🎓 is a dynamic researcher in applied mathematics with a passion for solving real-world problems through advanced mathematical frameworks 🧠.  authored over 60 peer-reviewed articles 📚 in high-impact journals. Currently associated with Shanghai University 🇨🇳, Dr. Bilal is dedicated to fostering global collaboration 🌍 and mentoring future mathematicians. His core interest lies in partial differential equations, with a vision to enhance scientific innovation for societal well-being 🔬💡. Known for his interdisciplinary approach, he strives to make mathematics more applicable, accessible, and impactful in today’s rapidly evolving world 🌐.

Professional Profile

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Education and Experience 

Dr. Bilal’s educational journey began in applied mathematics 🧮, earning his Ph.D. from Zhengzhou University, China (2019–2023) 🎓🇨🇳. His doctoral research focused on complex differential equations and real-world problem modeling. He continues his academic pursuit at Shanghai University as a postdoctoral researcher (2024–present) 📘. Dr. Bilal has more than 5 years of experience in mathematical research, teaching, and academic publishing ✍️. With active roles in the global research community, he brings a rich blend of theory, practice, and innovation to every project, backed by international collaboration and mentorship 🌏🤝.

Professional Development 

Dr. Muhammad Bilal is deeply committed to academic excellence and global research outreach 🌍. He has published 60+ high-impact articles in international journals 📖, contributed to interdisciplinary applications, and developed innovative solutions using PDEs and mathematical modeling 🧠💡. He is actively engaging in research dissemination through platforms like ResearchGate and Google Scholar 🔗, with a growing citation impact. Dr. Bilal aims to influence policymaking through data-driven research and to secure long-term funding for sustainable mathematical development 💼💰. His ongoing mentorship and project involvement help nurture emerging scholars in applied and computational mathematics 🎯👨‍🏫.

Research Focus

Dr. Bilal’s research is centered on Applied Mathematics, particularly Partial Differential Equations (PDEs), their analytical properties, and real-world applications 🧪🧩. His work intersects fields such as fluid dynamics, mathematical biology, and engineering processes 🌊🔬. He focuses on developing analytical and numerical methods that help address pressing global challenges through precise modeling 🧠💻. His category of research falls under “Best Researcher in Applied and Computational Mathematics” 🏅. His contributions have not only enhanced theoretical knowledge but also enriched interdisciplinary scientific collaboration and solution-driven problem solving across academia and industry 🤝📈.

Awards and Honors 

While specific awards were not detailed in the available information, Dr. Bilal’s significant scholarly output 📚—including 60+ published papers—and his roles in prestigious institutions reflect a high level of recognition 🌟. His research contributions are highly cited and well-regarded in the global mathematics community 🌐. Dr. Bilal is also a recipient of academic support from top Chinese institutions 🇨🇳. His inclusion in international collaborations and ongoing projects showcases his value as a top-tier researcher 🏆. It is anticipated that he will be a strong contender for future Best Researcher, Young Scientist, or Excellence in Mathematics Awards 🥇🎖️.

Publication Top Notes

1. Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis

Citation: 130 (2021)
Journal: Mathematical Methods in the Applied Sciences, 44(5), 4094–4104
Authors: M. Bilal, A.R. Seadawy, M. Younis, S.T.R. Rizvi, H. Zahed
Summary: This work investigates the dispersive wave characteristics in shallow water modeled by the DGH system. The authors derive analytical solutions and perform modulation instability analysis, providing insight into fluid dynamics applications and enhancing the understanding of nonlinear wave behaviors in geophysical flows.

2. Analytical wave structures in plasma physics modeled by Gilson-Pickering equation by two integration norms

Citation: 125 (2021)
Journal: Results in Physics, 23, 103959
Authors: M. Bilal, A.R. Seadawy, M. Younis, S.T.R. Rizvi, K. El-Rashidy, S.F. Mahmoud
Summary: The study applies analytical methods to solve the Gilson-Pickering equation, relevant in plasma physics. Using two integration approaches, the authors present various types of wave solutions, supporting future research in laser-plasma interactions.

3. Modulation instability analysis, optical and other solutions to the modified nonlinear Schrödinger equation

Citation: 109 (2020)
Journal: Communications in Theoretical Physics, 72(6), 065001
Authors: M. Younis, T.A. Sulaiman, M. Bilal, S.U. Rehman, U. Younas
Summary: The paper offers modulation instability analysis and diverse optical solutions for the MNLS equation, which is crucial in nonlinear fiber optics. The study aids in the prediction of rogue waves and optical soliton behavior.

4. Optical bright–dark and Gaussian soliton with third-order dispersion

Citation: 96 (2017)
Journal: Optik, 134, 233–238
Authors: M. Younis, U. Younas, S. ur Rehman, M. Bilal, A. Waheed
Summary: This early work discusses soliton behavior with third-order dispersion in optical media, particularly bright–dark and Gaussian solitons. These findings are essential for optical communication system modeling.

5. New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation

Citation: 72 (2021)
Journal: Mathematical Modelling of Natural Phenomena, 16, 38
Authors: H. Rezazadeh, M. Younis, M. Eslami, M. Bilal, U. Younas
Summary: The paper introduces new exact solutions for the chiral NLSE, applicable in fluid dynamics and condensed matter physics. It expands analytical methods available for modeling complex nonlinear systems.

6. The analysis of exact solitons solutions in monomode optical fibers to the generalized nonlinear Schrödinger system

Citation: 64 (2023)
Journal: Int. J. Math. Comput. Eng., 1(2), 149–170
Authors: M. Bilal, H. Haris, A. Waheed, M. Faheem
Summary: Focusing on solitons in monomode fibers, this research provides exact solutions for GNLS systems and proposes analytical methods for signal integrity in optical communications.

7. Different wave structures to the Chen–Lee–Liu equation of monomode fibers and its modulation instability analysis

Citation: 56 (2021)
Journal: The European Physical Journal Plus, 136(4), 385
Authors: M. Bilal, W. Hu, J. Ren
Summary: Investigating the Chen–Lee–Liu equation, the authors present soliton and periodic wave solutions with instability analysis, useful for understanding energy transfer in nonlinear optics.

8. New exact solitary wave solutions for the 3D-FWBBM model in arising shallow water waves

Citation: 54 (2021)
Journal: Results in Physics, 25, 104230
Authors: M. Bilal, J. Ahmad
Summary: Using two analytical techniques, this paper solves the 3D-FWBBM model, relevant in modeling shallow water wave dynamics. It adds to predictive modeling in geophysical fluid flows.

9. Lump solutions and stability analysis of dimensional Pavlov equation

Citation: 53 (2022)
Journal: Modern Physics Letters B, 36(14), 2250084
Authors: U. Younas, J. Ren, T.A. Sulaiman, M. Bilal, A. Yusuf
Summary: The paper offers lump, breather, and two-wave solutions with stability for the Pavlov equation, advancing understanding of integrable models in physics.

10. Propagation of pure-cubic optical solitons without chromatic dispersion

Citation: 52 (2021)
Journal: Optical and Quantum Electronics, 53, 1–25
Authors: U. Younas, M. Bilal, J. Ren
Summary: The work focuses on optical solitons governed by pure-cubic nonlinearity, aiding efficient modeling of fiber-optic networks.

11. Soliton solutions for NLSE with computational techniques

Citation: 48 (2021)
Journal: Optical and Quantum Electronics, 53, 1–19
Authors: M. Bilal, J. Ren, U. Younas
Summary: This study proposes computational approaches to find soliton solutions in nonlinear Schrödinger models, significant in photonics research.

12. Investigation of optical solitons in birefringent fibers with four-wave mixing

Citation: 46 (2020)
Journal: International Journal of Modern Physics B, 34(11), 2050113
Authors: M. Younis, M. Bilal, S. ur Rehman, U. Younas, S.T.R. Rizvi
Summary: The authors examine solitons in birefringent fibers with nonlinear effects like four-wave mixing, essential in ultrafast fiber optics.

13. Study of solitary waves in time conformable Schrödinger system

Citation: 45 (2022)
Journal: Optical and Quantum Electronics, 54(4), 228
Authors: S.U. Rehman, M. Bilal, J. Ahmad
Summary: The paper analyzes conformable derivatives in Schrödinger systems and their impact on wave propagation in nonlinear environments.

Conclusion

Dr. Muhammad Bilal is highly suitable for the Best Researcher Award given his impactful publication record, clarity of research vision, and dedication to solving complex societal problems through mathematics. His sustained excellence, innovative mindset, and growing citation footprint mark him as a research leader in the making, deserving formal recognition at an international level. 🥇🌐