On the Well-posedness and Stability of Cubic and Quintic Nonlinear Schrödinger Systems on ${\mathbb{T}}^3$

Thomas Chen, Amie Urban

In this paper, we study cubic and quintic nonlinear Schrödinger systems on 3-dimensional tori, with initial data in an adapted Hilbert space $H_{\underline{\lambda }}^s,$ and all of our res…