Superfluid motion of coupled light in a fiber transmission line

Here we represent the obstacle itself as a localised solitary wave coupled to the fluid. In optics this can be realised through the cross phase modulation of two co-propagating fields. The fluid is represented by a constant nonlinear background at normal dispersion, whereas the obstacle is given by a localised solitary wave in the anomalous dispersion regime. Thus the back-action of the fluid on the obstacle is included. Similar to a fixed potential we are able to identify three dynamical distinct regimes, that are superfluid, turbulent and supercritical.