Breather-induced quantised superfluid vortex filaments and their characterisation

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

Figure 1. Temporal evolutions of curvature $\kappa \left(\xi ,t\right)$ (a) and torsion $\tau \left(\xi ,t\right)$ (c) corresponding to a Kuznetsov-Ma breather; see equations (7) and (8). (b) and (d) are variations of $\kappa \left(\xi ,t\right)$ and $\tau \left(\xi ,t\right)$ at different times. The parameters are: ${\kappa }_{0}=1$, τ0 = 0.05, b = 1.2, and β = 4π.