The National Science Foundation (NSF) awarded a $172,211 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Central Florida (UCF) for a 3-year research project titled "Soliton Gases for the Focusing Nonlinear Schrodinger Equation and Other Integrable Systems: Theory and Applications". The project aims to develop a rigorous spectral theory for soliton gases in integrable nonlinear equations and provide statistical characterization of such soliton gases, which have important applications in fields like fiber optics and water wave modeling. The research involves analytical derivation and analysis of nonlinear dispersion relations, as well as computational modeling and laboratory experiments conducted in collaboration with experts in experimental fiber optics and water waves. This work is expected to advance the general understanding of random nonlinear waves and improve prediction methods, particularly for rogue waves. The project will also provide training opportunities for graduate and undergraduate students, including minorities, as well as postdoctoral researchers. No subawards are planned for this grant.