New complex variables for equations of ideal barotropic fluid
  We propose new construction of dependent variables for equations of an ideal barotropic fluid. This construction is based on a direct generalization of the known connection between Schroedinger equation and a system of Euler-type equations. The system for two complex-valued functions is derived that is equivalent to Euler equations. Possible advantages of the proposed formulation are discussed. 
A.L.Sorokin