The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $209,496 Project Grant to the University of Central Florida Board of Trustees Office of Research, doing business as UCF, to conduct research on nonlinear wave interactions and soliton gases in integrable dispersive partial differential equations. The three-year grant, awarded from September 1, 2023 to August 31, 2026, aims to advance the analytical and statistical modeling of soliton gas dynamics, analyze the semiclassical limit and rogue wave generation in the focusing nonlinear Schrödinger equation, and study the long-term behavior of spectrally singular solutions in integrable partial differential equations. This work under NSF's Mathematical and Physical Sciences program (CFDA 47.049) is intended to further the fundamental understanding of nonlinear wave phenomena observed across scientific and engineering domains, with potential applications in areas like fiber optic transmission.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $209.5k | 7/10/23 |