Nonlinear wave propagation in a non-diffusive model of bubbly liquids

In this paper an 'ad hoc' asymptotic approach is employed in order to study nonlinear wave propagation compatible with the non-diffusive version of the model of bubbly liquids introduced by Drumheller and Bedford [13]. A third order transport equation representing a generalization of the usually considered Kortweg-de Vries-Burgers equation and a simplified version of the evolution equation obtained in a previous paper by Fusco and Oliveri [16] for the full model including the diffusion of the bubbles with respect to the liquid is constructed. The related wave profiles are investigated through numerical integrations. (author)