Muhammad Bilal Arain | Mathematics | Best Researcher Award

Published on by Academic Excellence

Assist. Prof. Dr. Muhammad Bilal Arain | Mathematics | Best Researcher Award

Dr. M. B. Arain is a distinguished researcher and academic in the field of mathematical fluid dynamics and computational modeling, currently serving as a Senior Lecturer at the College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics (NUAA), China. He earned his Ph.D. in Mathematics from the International Islamic University Islamabad (IIUI), Pakistan, where his doctoral research focused on the transport of motile gyrotactic microorganisms in viscoelastic fluids. His academic background is complemented by postgraduate qualifications in education and extensive teaching experience across Pakistan and China. Dr. Arain’s research integrates artificial neural networks (ANNs), nanofluids, heat and mass transfer, and electro-magneto-hydrodynamics, addressing complex fluid flow problems with innovative computational techniques. His work has contributed to high-impact areas such as bio-convective nanofluid systems, acoustic wave-driven bubble dynamics, and intelligent predictive modeling for nonlinear phenomena. He has published over 35 SCI/SCI-E indexed papers in renowned journals including Physics of Fluids, Engineering Applications of Artificial Intelligence, and Case Studies in Thermal Engineering, with an H-index of 15 and over 850 citations on Google Scholar. His research excellence is recognized through his role as a corresponding author on several high-impact publications and through prestigious projects funded by NUAA, the National Natural Science Foundation of China, and King Khalid University, Saudi Arabia. A recipient of the HEC Fulbright PhD Scholarship, Dr. Arain continues to advance the frontiers of computational fluid mechanics, fostering cross-disciplinary collaboration in applied mathematics and aerospace sciences.

Profiles: Orcid | Google Scholar

Featured Publications

  • Bhatti, M. M., Arain, M. B., Zeeshan, A., Ellahi, R., & Doranehgard, M. H. (2022). Swimming of gyrotactic microorganism in MHD Williamson nanofluid flow between rotating circular plates embedded in porous medium: Application of thermal energy storage. Journal of Energy Storage, 45, 103511.

  • Zhang, L., Arain, M. B., Bhatti, M. M., Zeeshan, A., & Hal-Sulami, H. (2020). Effects of magnetic Reynolds number on swimming of gyrotactic microorganisms between rotating circular plates filled with nanofluids. Applied Mathematics and Mechanics, 41(4), 637–654.

  • Shaheen, S., Arain, M. B., Nisar, K. S., Albakri, A., Shamshuddin, M. D., & Mallawi, F. O. (2023). A case study of heat transmission in a Williamson fluid flow through a ciliated porous channel: A semi-numerical approach. Case Studies in Thermal Engineering, 41, 102523.

  • Arain, M. B., Bhatti, M. M., Zeeshan, A., Saeed, T., & Hobiny, A. (2020). Analysis of Arrhenius kinetics on multiphase flow between a pair of rotating circular plates. Mathematical Problems in Engineering, 2020(1), 2749105.

  • Fatima, N., Belhadj, W., Nisar, K. S., Alaoui, M. K., Arain, M. B., & Ijaz, N. (2023). Heat and mass transmission in a boundary layer flow due to swimming of motile gyrotactic microorganisms with variable wall temperature over a flat plate. Case Studies in Thermal Engineering, 45, 102953.

Xinyue Li | Mathematics | Best Researcher Award

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Assoc. Prof. Dr. Xinyue Li | Mathematics | Best Researcher Award

Assoc. Prof. Dr. Xinyue Li, Shandong University of Science and Technology, China

Dr. Xinyue Li is an Associate Professor at the College of Mathematics and Systems Science, Shandong University of Science and Technology, China. He holds an M.Sc. in Applied Mathematics (2008) and a Ph.D. in Control Theory and Control Engineering (2015) from the same institution. His research focuses on integrable systems, mathematical physics, and soliton theory, covering topics such as Lax pairs, Hamiltonian structures, conservation laws, Darboux transformations, Lie symmetry analysis, and algebraic structures. Dr. Li has made significant contributions to discrete and continuous integrable systems, publishing extensively in leading mathematical journals. His work also explores symplectic maps, Whitham modulation theory, and Riemann-Hilbert methods. With a strong academic background and a deep commitment to advancing mathematical sciences, Dr. Li continues to drive innovative research in the field, influencing both theoretical and applied aspects of integrable systems.

Professional Profile

Scopus

Orcid

Summary of Suitability for the 'Research for Best Researcher Award'

Dr. Xinyue Li is highly deserving of the 'Research for Best Researcher Award' due to his extensive contributions to the fields of mathematical physics, integrable systems, and soliton theory. With a Ph.D. in control theory and control engineering from Shandong University of Science and Technology, Dr. Li has demonstrated outstanding academic achievement through his profound research on integrable nonlinear partial differential equations, soliton theory, and mathematical modeling.

His expertise spans across a variety of complex topics such as Lax pairs, Hamiltonian structures, conservation laws, Darboux transformations, Lie symmetry analysis, and Bäcklund transformations. Furthermore, his research in the integration of symplectic maps and the algebraic and geometric structures of integrable systems significantly contributes to advancing knowledge in the area of mathematical physics. Dr. Li’s work on discrete systems and soliton equations has far-reaching implications, as demonstrated in his numerous publications in esteemed journals, making him a well-respected figure in his field.

Education 

Dr. Xinyue Li pursued his academic career in mathematics at Shandong University of Science and Technology, earning both his Master’s and Ph.D. degrees. In 2008, he obtained an M.Sc. in Applied Mathematics, where he focused on integrable systems and soliton theory. His passion for mathematical physics led him to a Ph.D. in Control Theory and Control Engineering, which he completed in 2015. During his doctoral research, he specialized in advanced mathematical models, discrete and continuous systems, and Lie symmetry analysis. His studies encompassed Hamiltonian structures, Darboux transformations, Bäcklund transformations, and integrable symplectic maps. His rigorous academic training equipped him with the expertise to develop new mathematical frameworks that contribute to the understanding of nonlinear partial differential equations. Through his educational journey, Dr. Li has laid a strong foundation for his ongoing research in mathematical physics and integrable systems.

Professional Experience

Dr. Xinyue Li has been an Associate Professor at the College of Mathematics and Systems Science, Shandong University of Science and Technology, since completing his Ph.D. in 2015. He specializes in integrable systems, mathematical physics, and soliton theory, contributing significantly to the field through his extensive research. Dr. Li has held various academic and research positions, mentoring students and collaborating with researchers on mathematical modeling, nonlinear differential equations, and algebraic structures. He has led projects on Darboux transformations, Lie symmetries, and Hamiltonian structures, integrating theoretical advancements with computational applications. His expertise in discrete and continuous systems has allowed him to contribute to mathematical problem-solving in physics and engineering. As a dedicated educator, Dr. Li actively participates in curriculum development, scientific discussions, and interdisciplinary collaborations, furthering the knowledge and application of mathematical theories in diverse scientific fields.

Awards and Recognition 

Dr. Xinyue Li’s contributions to mathematical sciences have been widely recognized through various awards and honors. He has received accolades for his groundbreaking research in integrable systems, soliton theory, and mathematical physics. His work on Darboux transformations and Lie symmetries has been published in high-impact journals, earning him recognition in the global mathematics community. Dr. Li has been invited as a speaker at international conferences on mathematical physics and integrable systems. He has also received research grants for projects focusing on Hamiltonian structures and algebraic approaches in nonlinear differential equations. His papers have been cited extensively, reflecting the significance of his contributions. In addition to his academic excellence, he has been recognized for mentoring students and fostering new research collaborations. His ongoing work continues to push the boundaries of mathematical theories, further solidifying his reputation as a leading researcher in the field.

Research Skills On Mathematics

Dr. Xinyue Li possesses advanced research skills in mathematical physics, integrable systems, and nonlinear differential equations. His expertise includes soliton theory, Lax pairs, Hamiltonian structures, and conservation laws. He is proficient in Darboux and Bäcklund transformations, enabling the analysis of discrete and continuous systems. His research integrates Lie symmetry analysis, integrable symplectic maps, and algebraic-geometric structures to study complex mathematical models. Dr. Li applies Whitham modulation theory to dispersive shock waves and employs Riemann-Hilbert methods for solving inverse scattering problems. His strong computational background allows him to develop algorithms for mathematical modeling in physics and engineering. He has collaborated on interdisciplinary projects, bridging theoretical and applied aspects of mathematics. Through extensive journal publications and conference presentations, he has demonstrated exceptional problem-solving abilities and innovation in mathematical sciences, making significant contributions to the field.

Publication Top Notes

  • "Interaction wave solutions of the (2+1)-dimensional Fokas-Lenells equation"

    • Authors: Yaxin Guan, Xinyue Li, Qiulan Zhao

    • Citation: Physica Scripta

    • Year: 2025-04-01

  • "Application of tetragonal curves theory to the 4-field Błaszak–Marciniak lattice hierarchy"

    • Authors: Qiulan Zhao, Caixue Li, Xinyue Li

    • Citation: Physica D: Nonlinear Phenomena

    • Year: 2025-03

  • "Symmetric structures and dynamic analysis of a (2+1)-dimensional generalized Benny-Luke equation"

    • Authors: Jie Sun, Qiulan Zhao, Xinyue Li

    • Citation: Physica Scripta

    • Year: 2024-10-01

  • "Step-like initial value problem and Whitham modulation in fluid dynamics to a generalized derivative nonlinear Schrödinger equation"

    • Authors: Bingyu Liu, Qiulan Zhao, Xinyue Li

    • Citation: Physics of Fluids

    • Year: 2024-06-01

  • "Evolution of dispersive shock waves to the complex modified Korteweg–de Vries equation with higher-order effects"

    • Authors: Qian Bai, Xinyue Li, Qiulan Zhao

    • Citation: Chaos, Solitons & Fractals

    • Year: 2024-05

  • "Two-component generalized nonlinear Schrödinger equations and their soliton and breather solutions"

    • Authors: Xinyue Li, Jiale Zhao, Qiulan Zhao

    • Citation: Physica Scripta

    • Year: 2023-09-01

  • "Localized wave solutions and mixed interaction structures in the AB system"

    • Authors: Guangfu Han, Xinyue Li, Qiulan Zhao

    • Citation: Wave Motion

    • Year: 2023-08

  • "Novel symmetric structures and explicit solutions to a coupled Hunter-Saxton equation"

    • Authors: Qiulan Zhao, Huanjin Wang, Xinyue Li

    • Citation: Physica Scripta

    • Year: 2023-06-01

  • "Interaction structures of multi localized waves within the Kadomtsev–Petviashvili I equation"

    • Authors: Guangfu Han, Xinyue Li, Qiulan Zhao, Chuanzhong Li

    • Citation: Physica D: Nonlinear Phenomena

    • Year: 2023-04

  • "Integrable asymmetric AKNS model with multi-component"

    • Authors: Xinyue Li, Qiulan Zhao, Qianqian Yang

    • Citation: Communications in Nonlinear Science and Numerical Simulation

    • Year: 2020-12