Exact solutions to the Telegraph equation in terms of Airy functions

Authors

  • Felipe Asenjo Universidad Adolfo Ibáñez
  • Sergio Hojman Universidad Adolfo Ibáñez
  • Braulio Villegas-Martínez Instituto Nacional de Astrofísica, Óptica y Electrónica
  • Héctor Moya-Cessa Instituto Nacional de Astrofísica, Óptica y Electrónica
  • Francisco Soto-Eguibar Instituto Nacional de Astrofísica, Óptica y Electrónica

DOI:

https://doi.org/10.31349/RevMexFis.70.040701

Keywords:

Telegraph Equation, Airy functions

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¨ödinger-like equations, amenable to exact solutions through Airy functions.

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Published

2024-07-01

How to Cite

[1]
F. Asenjo, S. Hojman, B. Villegas-Martínez, H. Moya-Cessa, and F. Soto-Eguibar, “Exact solutions to the Telegraph equation in terms of Airy functions”, Rev. Mex. Fís., vol. 70, no. 4 Jul-Aug, pp. 040701 1–, Jul. 2024.

Issue

Section

07 Gravitation, Mathematical Physics and Field Theory