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Collective field theory for Calogero model represents particles withfractional statistics in terms of hydrodynamic modes -- density and velocityfields. We show that the quantum hydrodynamics of this model can be written asa single evolution equation on a real holomorphic Bose field -- quantumintegrable Benjamin-Ono equation. It renders tools of integrable systems tostudies of nonlinear dynamics of 1D quantum liquids.Comment: 5 pages, 1 figur

Quantum Hydrodynamics, the Quantum Benjamin-Ono Equation, and the Calogero Model