The propagation of non-stationary waves from a spherical cavity in an acoustic layer

The axisymmetric problem of the propagation of non-stationary waves from a spherical cavity in the plane of an infinite layer filled with an acoustic medium is considered. Using methods of incomplete separation of the variables in the space of Laplace transformation in time, the problem is reduced to an infinite system of linear algebraic equations, the solution of which is investigated in the form of series in exponential functions.