Superfluid Hydrodynamics of an Electron Gas in a Superstrong Magnetic   Field
  We derive the equations of hydrodynamics of a fully polarized electron gas placed in a strong magnetic field. These equations reveal the existence of solitons - immobile or propagating domain wall-like defects whose plane is perpendicular to the field direction. The solitons are used to construct weakly excited states, and novel nonuniform persistent current states of the system. 
Eugene B. Kolomeisky