Abstract
Von Mises' nonlinear second-order wave equation for the velocity potential in the case of an irrotational, compressible and barotropic classical perfect fluid is connected to the analog gravity formalism. It is shown that while the standard acoustic metric, built on a certain background, remains central in the higher-order perturbative scheme, at full nonlinear level it plays a less relevant role. Possible applications both for simulations and experiments are discussed.
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