This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $299,863 to the Regents of the University of Michigan to conduct research on integrable nonlinear waves and related topics. The project aims to uncover new solutions of integrable equations, study their properties, and impact applications in areas such as marine engineering and condensed matter physics. Key activities include establishing long-time asymptotics for the Benjamin-Ono equation, constructing soliton gases, analyzing dynamical stability of rogue waves, and exploring mechanisms for generating such waves. As part of the project, computer codes and a textbook are being produced for public consumption, and three PhD students are being partially supported. The award period is from Jul 1, 2025 to Jun 30, 2027.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $299.9k | 6/18/25 |