The first error appears in Eq. (18) of Ref. [1], where the right-hand side is given to be −∂q/∂t, instead of the correct one –q, where q is the volume displacement per unit volume. So, the correct form of Eq. (18) in Ref. [1] is
with Ψ the velocity potential and c0 the sound speed in the fluid media. Equation (1) can be easily found from Eq. (7.1.16) of Ref. [2], combined with fω=iωρsω, on page 325 of Ref. [2] and also from Eq. (III.4) (page 46 of Ref. [3]) by using its form in the time domain, combined with the equation p = ρ...
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