We analyse the existing derivation of the models of non-linear acoustics such
as the Kuznetsov equation, the NPE equation and the KZK equation. The technique
of introducing a corrector in the derivation ansatz allows to consider the
solutions of these equations as approximations of the solution of the initial
system (a com-pressible Navier-Stokes/Euler system). The validation of the
approximation ansatz is given for the KZK equation case
