On the non-degeneracy of radial vortex solutions for a coupled Ginzburg-Landau system

Lipeng Duan, Jun Yang

For the following Ginzburg-Landau system in ${\mathbb{R}}^2$ \begin{align*} \begin{cases} -Δw^+ +\Big[A_+\big(|w^+|^2-{t^+}^2\big)+B\big(|w^-|^2-{t^-}^2\big)\Big]w^+=0, \\[3mm] -Δw^…