Federal Project Grant Award Summary

The University of Alabama at Birmingham received a $199,757 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2026, through July 31, 2029. This award funds research into the existence and stability of coherent wave structures—known as solitons or solitary waves—in systems of nonlinear partial differential equations. The project will develop and extend variational and spectral mathematical techniques to analyze coupled systems with multiple interacting components, advancing beyond prior single-equation models. Research outcomes will include theoretical analysis and construction of wave solutions applicable to nonlinear optics, laser-plasma interactions, quantum plasma dynamics, and semiconductor theory.

The research will generate mathematical tools and foundational knowledge applicable to fiber-optic communications, semiconductor device design, and water-wave engineering, with direct relevance to advanced materials, photonics, and superconductivity applications. The award supports graduate and undergraduate student training and professional development at UAB, contributing to workforce preparation for careers in academia, industry, and government research sectors. The project addresses long-time asymptotic behavior in damped and dissipative systems, producing methodological advances that extend the mathematical foundations underlying modern communications technology and materials science.