Breather-induced quantised superfluid vortex filaments and their characterisation

Hao Li,Chong Liu,Wei Zhao,Zhan-Ying Yang,Wen-Li Yang

Figure 8. Relations between ${\rm{\Delta }}K\cdot {r}_{s}$ and ϵ of the vortex filament induced by the super-regular breather as φ varies. Other parameters are κ0 = 1. The discrete points are obtained with the high-order term O(ϵ2) considered, while the coloured lines retain the first-order term only.