Linear "ship waves" generated in stationary flow of a Bose-Einstein   condensate past an obstacle
  Using stationary solutions of the linearized two-dimensional Gross-Pitaevskii equation, we describe the ``ship wave'' pattern occurring in the supersonic flow of a Bose-Einstein condensate past an obstacle. It is shown that these ``ship waves'' are generated outside the Mach cone. The developed analytical theory is confirmed by numerical simulations of the flow past body problem in the frame of the full non-stationary Gross-Pitaevskii equation. 
Yu.G. Gladush, G.A. El, A. Gammal, and A.M. Kamchatnov