Stable solitary waves with prescribed $L^2$-mass for the cubic Schrödinger system with trapping potentials
Stable solitary waves with prescribed $L^2$-mass for the cubic Schrödinger system with trapping potentials
For the cubic Schrödinger system with trapping potentials in $\mathbb{R}^N$, $N\leq3$, or in bounded domains, we investigate the existence and the orbital stability of standing waves having components with prescribed $L^2$-mass. We provide a variational characterization of such solutions, which gives information on the stability through a condition of Grillakis-Shatah-Strauss …