Yannan Shen

Research

Applied mathematics, models from physics and engineering, such as optical systems, metamaterials, plasmas and Bose-Einstein condensates. These physical models are described by differential equations such as the nonlinear Schrodinger equation, complex Ginzburg Landau equation, short pulse equation. My research mainly involves existence, stability and dynamics of solitary wave solutions. Methods employed include asymptotics, variational approximations, rigorous analysis, numerical analysis, as well as scientific computing.

Google scholar

The research is partially supported by NSF DMS-206218 (2022-2026)

Teaching

• 2026 Spring, Math 220 Applied Differential Equations
• 2026 Spring, Math 221 Applied Differential Equations, Honors
• 2025 Fall, Math 765 Mathematical Analysis I
• 2025 Spring, Math 851 Topics in Dynamical Systems
• 2024 Fall, Math 290 Elementary Linear Algebra
• 2024 Fall, Math 765 Mathematical Analysis I
• 2024 Spring, Math 221 Applied Differential Equations, Honors
• 2024 Spring, Math 500 Intermediate Analysis
• 2023 Fall, Math 647 Applied Partial Differential Equations
• 2023 Spring, Math 783 Numerical PDE
• 2023 Spring, Math 500 Intermediate Analysis
• 2022 Fall, Math765 Mathematical Analysis I
• 2022 Spring, Math 290 Elementary Linear Algebra (two sections)
• 2021 Fall, Math 950 Partial Differential Equations
• 2021 Spring, Math 500 Intermediate Analysis
• 2020 Fall, Math 647 Applied Partial Differential Equations
• 2020 Spring, Math 500 Intermediate Analysis