A chronological survey of the weakly-nonlinear acoustic equations put forth between the
years 1910–2009 is presented. The derivation, properties, and historical development of …

The aim of this paper is to highlight some recent developments and outcomes in the
mathematical analysis of partial differential equations describing nonlinear sound …

In this paper, we consider the Jordan–Moore–Gibson–Thompson equation, a third-order in
time wave equation describing the nonlinear propagation of sound that avoids the infinite …

This research deals with pressure waves in a gas trapped in thin layers or narrow tubes. In
these cases viscous and thermal effects can have a significant effect on the propagation of …

We consider the propagation of acoustic and thermal waves in a class of inviscid, thermally
relaxing gases wherein the flow of heat is described by the Maxwell–Cattaneo law, ie, in …

Industrial competitiveness of the ultrasonic-based technologies is reinforced by the relatively
low cost of power-generating equipment and ultrasonic transducers. However, further …

The paper reviews the phenomena involved in the creation of electric signals by ultrasound
in aqueous solutions of electrolytes with special reference to the acousto-electric interaction …

In Part I of the present paper a parameter analysis showed that the most efficient model to
describe viscothermal wave propagation is the low reduced frequency model. In order to …

The dynamical projectors method proves to reduce a multicomponent problem to the
simplest one-component problem with its solution determined by specific initial or boundary …

The exact traveling wave solution (TWS), which assumes the form of a diffusive soliton, is
determined for Kuznetsov's equation, a PDE arising in nonlinear acoustics. It is shown (a) …