The theoretical principles of nonlinear acoustics
Abstract
Nonlinear acoustics deals with sound waves so intense that they can no longer be described by ordinary linear differential equations but require nonlinear equations. Due to the use of nonlinear equations, the superposition principle is violated, that is to say, the sound waves begin to interact with each other. Topics considered are finiteamplitude plane waves in nondispersive media, infiniteamplitude plane waves in viscous thermally conducting media, sound waves in dispersive media, and spherical and cylindrical waves of finite amplitude. Also described are the interactions of sound waves, including parametric interactions and selfinteraction, acoustic streaming, the propagation of acoustic beams, and the statistical properties of nonlinear acoustics. The nonlinear Burgers equation is used throughout to describe the behavior of the waves.
 Publication:

Moscow Izdatel Nauka
 Pub Date:
 1975
 Bibcode:
 1975MoIzN....R....R
 Keywords:

 Acoustic Propagation;
 Burger Equation;
 Nonlinear Equations;
 Shock Wave Propagation;
 Sound Waves;
 Wave Interaction;
 Acoustic Streaming;
 Beams (Radiation);
 Cylindrical Waves;
 Differential Equations;
 Plane Waves;
 Spherical Waves;
 Statistical Analysis;
 Viscous Fluids;
 Wave Dispersion;
 Wave Equations;
 Acoustics