Orbital stability of solitary waves for a nonlinear Schrödinger system
Orbital stability of solitary waves for a nonlinear Schrödinger system
In this paper, we study the coupled nonlinear Schrödinger system \begin{equation*} \left\{ \begin{matrix} iu_t+ u_{xx} + (a |u|^2 + b |v|^2) u=0\\ iv_t+ v_{xx} + (b |u|^2 + c |v|^2) v=0\\ \end{matrix} \right. \end{equation*} where $u,v$ are complex-valued functions of $(x,t)\in \mathbb R^2$, and $a,b,c \in \mathbb R$. Our work …