Dr. Jin Song | Mathematics | Research Excellence Award

Dr. Jin Song | Mathematics | Research Excellence Award

University of Chinese Academy of Sciences | China

Dr. Jin Song is a promising mathematician specializing in applied mathematics with a strong interdisciplinary orientation that bridges nonlinear science and artificial intelligence. His research centers on the analysis, simulation, and prediction of complex nonlinear systems, with particular emphasis on nonlinear wave equations and partial differential equations that describe solitons, vortices, rogue waves, and other coherent structures. Dr. Song has developed advanced mathematical and computational frameworks to study the dynamical behavior, stability, and evolution of such systems, combining rigorous mathematical theory with high-level numerical methods. A distinctive aspect of his work is the integration of modern machine learning techniques into mathematical modeling, especially through physics-informed machine learning and neural operator architectures that embed physical constraints directly into data-driven models. This approach enables more accurate, stable, and interpretable solutions to high-dimensional and nonlinear problems. His research also extends to generative modeling for partial differential equations, where he explores how physical structure and integrability can be incorporated as inductive biases to ensure physically consistent solution manifolds. Dr. Song’s work demonstrates both theoretical depth and methodological innovation, contributing to advances in nonlinear dynamics, computational mathematics, and scientific machine learning. In addition to his research contributions, he is actively engaged in academic collaboration, peer review, and knowledge dissemination through seminars and conferences. He possesses strong technical expertise in mathematical analysis, scientific computing, and programming, allowing him to tackle complex interdisciplinary challenges. Dr. Song’s research philosophy emphasizes the unification of mathematics, physics, and artificial intelligence to address fundamental and applied problems in modern science. Through his innovative research direction, interdisciplinary impact, and commitment to mathematical excellence, Dr. Jin Song stands out as a deserving recipient of the Research Excellence Award.

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Featured Publications

Jicheng Yu | Mathematics | Best Researcher Award

Dr. Jicheng Yu | Mathematics | Best Researcher Award

Potential for Future Impact:

  • Given his ongoing work and expertise, Yu is well-positioned to make further contributions to the fields of fractional calculus, symmetry analysis, and mathematical applications in diverse areas. His future projects are likely to continue expanding his influence in both theoretical research and practical engineering applications.
Dr. Jicheng Yu, Wuhan University of Science and Technology, China

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🌱EARLY ACADEMIC PURSUITS

  • Jicheng Yu, currently affiliated with Wuhan University of Science and Technology, laid the foundation of his academic journey with a focus on mathematics and theoretical physics, particularly in the application of fractional differential equations and their implications across various fields. His foundational studies and early publications in these areas enabled him to quickly establish a foothold in the realms of mathematical and theoretical analysis.

💼PROFESSIONAL ENDEAVORS

  • As a professional academic and researcher, Yu has contributed extensively to mathematics and applied physics through various roles, including as a peer reviewer for numerous reputable journals. His Web of Science ResearcherID (AAW-4394-2021) and ORCiD profile (0000-0001-6125-263X) reflect his active engagement in the academic community, where he consistently collaborates and reviews groundbreaking work.

🔬CONTRIBUTIONS AND RESEARCH FOCUS 

  • Yu’s research emphasizes Lie symmetry analysis, exact solutions, and conservation laws of fractional partial differential equations. His publications cover advanced topics such as time-fractional Black-Scholes equations, Boussinesq-Burgers systems, and reaction-diffusion equations. These studies have application potential in areas like financial mathematics, fluid dynamics, and quantum optics, offering new methods for understanding and solving complex differential equations in these fields.

📚ACADEMIC CITES 

  • Yu’s research has garnered 48 citations, reflecting his influence and recognition within the academic community. His contributions are well-regarded in mathematical physics and applied mathematics, with his work on the fractional Black-Scholes and reaction-diffusion equations cited frequently, showcasing his expertise in these advanced topics.

🌍IMPACT AND INFLUENCE

  • With an H-index of 5 and a total of 48 citations, Yu’s work has been recognized in the scientific community as a valuable contribution to mathematics, physics, and engineering. His influence is growing, particularly through publications in journals such as Chaos, Solitons & Fractals, Journal of Applied Analysis, and International Journal of Financial Engineering. His work is particularly notable for its applicability in theoretical research and real-world engineering problems.

🌟LEGACY AND FUTURE AND CONTRIBUTIONS

  • Jicheng Yu’s ongoing work and future projects are likely to continue impacting mathematics, physics, and engineering communities. With a robust publication record and ongoing involvement in peer-reviewed research, his future contributions will likely advance understanding in fractional calculus, symmetry analysis, and mathematical applications in diverse fields. His commitment to academic excellence positions him as a valuable thought leader, inspiring future research and collaboration.

📄Publications

  • (2+1)-dimensional Burgers equation with a Caputo fractional derivative: Lie symmetry analysis, optimal system, exact solutions and conservation laws
    • Authors: Shi, Y., Feng, Y., Yu, J., Jiang, J.
    • Journal: Chinese Journal of Physics, 2024, 92, pp. 1121–1132
  • Lie symmetries, exact solutions and conservation laws of time fractional Boussinesq-Burgers system in ocean waves
    • Authors: Yu, J., Feng, Y.
    • Journal: Communications in Theoretical Physics, 2024, 76(12), 125002
  • Symmetry analysis, exact solutions and conservation laws of time fractional Caudrey–Dodd–Gibbon equation
    • Authors: Yu, J., Feng, Y.
    • Journal: Examples and Counterexamples, 2024, 6, 100166 (Open Access)
  • Lie Symmetry Analysis, Power Series Solutions and Conservation Laws of (2+1)-Dimensional Time Fractional Modified Bogoyavlenskii–Schiff Equations
    • Authors: Yu, J., Feng, Y.
    • Journal: Journal of Nonlinear Mathematical Physics, 2024, 31(1), 27
  • Group classification of time fractional Black-Scholes equation with time-dependent coefficients
    • Authors: Yu, J., Feng, Y.
    • Journal: Fractional Calculus and Applied Analysis, 2024, 27(5), pp. 2335–2358