Thursday, October 14, 2021
10/14/2021 - 4:15pm
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.