| Issue |
EPL
Volume 150, Number 5, June 2025
|
|
|---|---|---|
| Article Number | 52002 | |
| Number of page(s) | 4 | |
| Section | Mathematical and interdisciplinary physics | |
| DOI | https://doi.org/10.1209/0295-5075/addae3 | |
| Published online | 06 June 2025 | |
Algebraic solutions for propagation of elastic SH-waves through an isotropic inhomogeneous geometry
Departamento de Física Teórica, Atómica y Óptica, and Laboratory for Disruptive Interdisciplinary Science (LaDIS), Universidad de Valladolid - 47011 Valladolid, Spain and Departament of Basic Sciences, Ga.C., Islamic Azad University - Garmsar, Iran
Received: 27 March 2025
Accepted: 20 May 2025
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.
© 2025 The author(s)
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