Soliton resolution conjecture for the Calogero--Moser derivative nonlinear Schrödinger equation in the scaling-critical space

Shou-Fu Tian, Tao Zhang

We prove the soliton resolution conjecture for the Calogero--Moser derivative nonlinear Schrödinger equation in the scaling-critical space $L_{+}^2(\mathbb{R})$. For a natural class o…