Work

Algebraic solutions for propagation of elastic SH-waves through an isotropic inhomogeneous geometry

Year: 2025

Type: article

Abstract: The algebraic structure of the equation governing the propagation of an elastic SH-wave through an isotropic inhomogeneous layer surrounded by two homogeneous half-spaces is revisited. It is shown that the problem under a quartic variation has a hidden sl (2) symmetry based on which quasi-exact solutions are available via a completely analytical approach. This is of particular interest as the approach proposed for the corresponding tri-confluent Heun equation can be generalized to some other classes of geometries as well and the complicated considerations in case of Heun equations are absent.

Source: Europhysics Letters (EPL)

DOI: 10.1209/0295-5075/addae3

Author: S. Zarrinkamar

Institutions: Universidad de Valladolid, Islamic Azad University of Garmsar

Language: English

Topic: Elasticity and Wave Propagation

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,895

Funder: Junta de Castilla y León