Exact solutions to the Telegraph equation in terms of Airy functions

• F.A. Asenjo ^[2] ; S.A. Hojman ^[2] ; B.M. Villegas-Martínez ^[1] ; H.M. Moya-Cessa ^[1] ; F. Soto-Eguibar ^[1]
  1. [1] Instituto Nacional de Astrofísica, Óptica y Electrónica

     Instituto Nacional de Astrofísica, Óptica y Electrónica

     México

     
  2. [2] Universidad Adolfo Ibáñnez,Santiago, Chile
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 70, Nº. 4, 2024
• Idioma: inglés
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• Resumen

  • 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.