Exact solutions to the Telegraph equation in terms of Airy functions
General Physics
2024-03-26 v3
Abstract
Two exact different solutions to the Telegraph equation in three-dimensional space are obtained in terms of Airy functions. As a result, these solutions unveil a distinctive propagation pattern along a coordinate that resembles a speed-cone-like coordinate of the system. This unique characteristic leads to effective Schr\"odinger-like equations, amenable to exact solutions through Airy functions.
Keywords
Cite
@article{arxiv.2307.00196,
title = {Exact solutions to the Telegraph equation in terms of Airy functions},
author = {Felipe A. Asenjo and Sergio A. Hojman and Braulio M. Villegas-Martínez and Héctor M. Moya-Cessa and Francisco Soto-Eguibar},
journal= {arXiv preprint arXiv:2307.00196},
year = {2024}
}
Comments
Accepted for publication in Revista Mexicana de F\'isica