The helical vortex filaments of Ginzburg-Landau system in ${\mathbb{R}}^3$

Lipeng Duan, Qi Gao, Jun Yang

We consider the following coupled Ginzburg-Landau system in ${\mathbb{R}}^3$ \begin{align*} \begin{cases} -ε^2 Δw^+ +\Big[A_+\big(|w^+|^2-{t^+}^2\big)+B\big(|w^-|^2-{t^-}^2\big)\Big…