Classification and Nondegeneracy of Cubic Nonlinear Schrödinger System in $\mathbb{R}$

Yujin Guo, Yong Luo, Juncheng Wei

We study the following one-dimensional cubic nonlinear Schrödinger system: \[ u_i''+2\Big(\sum_{k=1}^Nu_k^2\Big)u_i=-μ_iu_i \ \,\ \mbox{in}\, \ \mathbb{R} , \ \ i=1, 2, \cdots, N,…