Localized state for nonlinear disordered stark model

Shengqing Hu, Yingte Sun

In this paper, we consider the following nonlinear disordered Stark model: $$\mathbf{i}{\partial }_t{u}_n+\delta (u_{n+1}+u_{n-1})+n{u}_n+v_n{u}_n+\epsilon |u_n{|}^2{u}_n=0,n\in \mathbb{Z}.$$ By employin…