To the Investigation of Plane Wave Propagation in an Elastic Anisotropic Media by a Recursive Operator Method

A solution of the equations of motion of a 3D anisotropic elastic medium without determining the roots of the determinant (secular) equation is obtained by a recursive operator method. A relationship between such solutions and classical solutions is established. The possibility of solving initial–boundary value problems for plane waves is considered. An example and comparative graphs of the solutions are given.