Orateur
Zechuan Zhang
(SISSA)
Description
In this talk, I will discuss recent work on the focusing nonlinear Schrödinger equation with step-like elliptic backgrounds. I will first present the direct and inverse scattering theory for step-like traveling wave solutions and then describe a special setting in which the left and right spectral bands coincide, corresponding to the same elliptic background with only a small perturbation. Finally, I will introduce the full soliton gas problem on elliptic backgrounds and discuss its motivation and mathematical formulation.