Orbital Stability of Soliton for the Derivative Nonlinear Schrödinger Equation in the $L^2$ Space

Yiling Yang, Engui Fan, Yue Liu

In this paper, we establish the orbital stability of the 1-soliton solution for the derivative nonlinear Schrödinger equation under perturbations in $L^2(\mathbb{R})$. We demonstra…