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In order to explore nonlinear effects on the distribution of matter duringcollisions within the Bose-Einstein condensate (BEC) dark matter model drivenby the Schr\"odinger-Poisson system of equations, we study the head-oncollision of structures and focus on the interference pattern formation in thedensity of matter during the collision process. We explore the possibility thatthe collision of two structures of fluid matter modeled with an ideal gasequation of state also forms interference patterns and found a negative result.Given that a fluid is the most common flavor of dark matter models, we concludethat one fingerprint of the BEC dark matter model is the pattern formation inthe density during a collision of structures.

Interference pattern in the collision of structures in the BEC dark matter model: comparison with fluids