Long-time dynamics of 1d cubic nonlinear Schrödinger equations with a trapping potential

Event time: 
Thursday, October 14, 2021 - 4:15pm
Gong Chen
Speaker affiliation: 
University of Toronto
Event description: 


We will consider the long-time dynamics of small solutions to the 1d cubic nonlinear Schrödinger equation (NLS) with a trapping potential.

I will illustrate that every small solution decomposes into a small solitary wave and a radiation term which exhibits modified scattering.  

The analysis also establishes the long-time behavior of solutions to a perturbation of the integrable cubic NLS with the appearance of solitons.