Abstract
An equation of nonlinear acoustics for radial spherical waves in a solid body has been derived. An approximate solution to this equation is presented, which takes into account nonlinear, spatial, and dissipative effects. It is found that in the transresonant frequency band nonlinear spherical waves may be excited, which it is difficult to classify as the well-known soliton- or cnoidal- or shock- or breather-type waves. These resonant spherical waves are also quite different from the well-known saw-tooth spherical waves. However, some expressions for the spherical waves resemble the solutions for surface waves.
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