Advances in nonlinear waves, integrable systems, inverse scattering and solitons

by Barbara Prinari (State University of New York at Buffalo)

Wednesday 24 May 2023, 15:00 → 16:00 Europe/Rome

SEMINARIO ONLINE

SEMINARIO DI FISICA MATEMATICA

The study of physical phenomena by means of mathematical models often leads to a certain class of nonlinear partial differential equations referred to as integrable systems, which possess special nonlinear wave solutions, called "solitons". In this talk I will give an overview of my research activity and accomplishments in this area over the last 20 years. The equations I have studied (e.g., the nonlinear Schrodinger equation and its multicomponent generalizations, the Korteweg-de Vries equation, the Kadomstev-Petviashvili equations, the short-pulse equations, etc) are related to key mathematical models in fiber optics and telecommunications, as well as in water waves, plasma physics and low temperature physics. This talk will highlight how my work has contributed to a deeper understanding of important nonlinear phenomena, in particular in regard to multicomponent and multidimensional soliton interactions, polarization shift in defocusing media, and rogue waves in Bose-Einstein condensates.

Link zoom: https://uniroma1.zoom.us/j/82330282429?pwd=MktKdmlkSUxxdXlraFhKSHhJTDZnUT09