Nicholas J. Ossi

PhD

Nicholas Ossi.

Nicholas J. Ossi

PhD

Nicholas J. Ossi

PhD

Visiting Assistant Professor

Research Interests

Nonlinear waves; integrable systems.

Education

  • PhD in Applied Mathematics, Florida State University, 2024
  • BS in Mathematics and Physics, University of Central Florida, 2018

Research

My research involves differential equations that model the propagation of waves in nonlinear dispersive media. In particular, I am interested in the class of exactly solvable wave models known as integrable systems. Integrable systems arise in a wide range of concrete physical applications, from water waves to optical fibers. They possess many rich mathematical properties and are known to admit soliton solutions — localized pulses that propagate without changing their shape or speed. Much of the work I have been involved in deals with mathematically characterizing solitons and other coherent structures using various analytical techniques, as well as studying how they change under the influence of physically relevant non-integrable effects.

Office Hours

Monday/Wednesday 2:00-3:00pm

Selected Publications

  • N.J. Ossi, B. Prinari, and J. Yang, Integrable perturbation theory for dark solitons of the defocusing nonlinear Schrödinger equation, Journal of Nonlinear Waves, March 2026. 
  • E.C. Boadi, N.J. Ossi, and B. Prinari, Novel discrete Kuznetsov-Ma breather solutions of the focusing Ablowitz-Ladik equation, Mechanics Research Communications, December 2025. 
  • M.J. Ablowitz, R. Gupta, Z.H. Musslimani, and N.J. Ossi, On the integrable six-wave interaction system and its space-time shifted reduction, Physica D: Nonlinear Phenomena, October 2025. 
  • V. Caudrelier, N.J. Ossi, and B. Prinari, Breather interactions in the integrable discrete Manakov system and trigonometric Yang-Baxter maps, Physica D: Nonlinear Phenomena, September 2025. 
  • E.C. Boadi, E.G. Charalampidis, P.G. Kevrekidis, N.J. Ossi, and B. Prinari, On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude, Wave Motion, January 2025. 
  • M.J. Ablowitz, Z.H. Musslimani, and N.J. Ossi, Inverse scattering transform for continuous and discrete space-time-shifted integrable equations, Studies in Applied Mathematics, September 2024.