Soliton-potential interactions for nonlinear Schrödinger equation in ${\mathbb{R}}^3$

Qingquan Deng, Avy Soffer, Xiaohua Yao

In this work we mainly consider the dynamics and scattering of a narrow soliton of NLS equation with a potential in ${\mathbb{R}}^3$, where the asymptotic state of the system can be…