Normalized ground state solutions of Schrödinger-KdV system in ${\mathbb{R}}^3$

Qian Gao, Qun Wang, Xiaojun Chang

In this paper, we study the coupled Schrödinger-KdV system \begin{align*} \begin{cases} -Δu +λ_1 u=u^3+βuv~~&\text{in}~~\mathbb{R}^{3}, \\-Δv +λ_2 v=\frac{1}{2}v^2+\frac{1}{2}βu^2~…