Factorization of Integro-Differential Equations of the Acoustics of Dispersive Viscoelastic Anisotropic Media and the Tensor Integral Operators of Wave Packet Velocities

摘要

Factorization of tensor integro-differential wave equations of the acoustics of dispersive viscoelastic anisotropic media is performed for the one-dimensional case. The resulting first-order partial differential equations include integral tensor functionals of the sound velocities of polarized plane wave pulses. The velocity operators V-circumflex are expressed in a coordinate-free compact form. They are determined by the kernels of the integral representations and provide a general description of the kinematics and dynamics of wave packets for arbitrary propagation directions in anisotropic viscoelastic media.