Passing through resonance of spherical waves

Abstract

In the trans-resonant frequency band a balance between the nonlinear, spatial, dissipative and dispersive effects varies together with the excited frequency. Therefore nonlinear resonant waves may be excited in spherical resonators which it is difficult to classify as well known soliton- or conoidal- or shock- or breather-type waves. It follows from the presented theory that spatial and dissipative effects are very important for spherical waves. These effects can prevent the formation of diverging and converging spherical discontinuous shock waves. Oscillating localized waves focusing at the origin are responsible for the sonoluminescence at the exact resonance.