  We consider the propagation of nonlinear sound waves in a perfect fluid at
rest. By employing the Riemann wave equation of nonlinear acoustics in one
spatial dimension, it is shown that waves carrying a constant density
perturbation at their tails produce an acoustic analogue of gravitational wave
memory. For the acoustic memory, which is in general $nonlinear$, the
nonlinearity of the effective spacetime dynamics is not due to the Einstein
equations, but due to the nonlinearity of the perfect fluid equations. For
concreteness, we employ a box-trapped Bose-Einstein condensate, and suggest an
experimental protocol to observe acoustic gravitational wave memory.
