title: Profiles of initially sinusoidal waves propagating in nonlinear microinhomogeneous materials.
abstract: The asymptotic analytical theory predicting acoustic wave profiles in microinhomogeneous materials with hysteretic quadratic nonlinearity and attenuation proportional to an even power of frequency is developed. The theory predicts that the influence on the nonlinear wave of the Rayleigh scattering of acoustic waves, which is proportional to the forth power of frequency, results in the net diminishing of wave attenuation. This is due to the suppression (diminishing) by scattering of the nonlinear hysteretic losses which is more important than direct increase in linear losses added by scattering.
authors.affiliation: Université du Maine, UMR CNRS 6087, Av. O. Messiaen, 72085 Le Mans Cedex 09, France. vitali.goussev@univ-lemans.fr <vitali.goussev@univ-lemans.fr>
authors.forename: Vitalyi
authors.initials: V
authors.lastname: Gusev