  Impulse formulations of the Euler (and Navier-Stokes) equations were
considered by Kuz'min [1] and Oseledets [2] and different impulse formulations
are produced by various gauge transformations (Russo and Smereka[3]). The
extension of the Kuz'min-Oseledets formulation to the compressible, barotropic
case was considered by Tur and Yanovsky [4] and Shivamoggi [5]. Here, we
construct exact solutions for the fluid impulse density for incompressible and
compressible barotropic flows and discuss their physical signifcance.
