Lie point symmetries, conservation laws and exact solutions of electrical transmission line model

• Muhammad Nasir Ali ^[1] ; Syed Muhammad Husnine ^[1] ; Turgut Ak ^[2]
  1. [1] National University of Computer and Emerging Sciences
  2. [2] Universidad de Yalova
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 76, Nº. 3, 2019, págs. 403-412
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this article, we consider the model of electrical transmission line for exact solutions and conservations laws. For this, lie point symmetries are obtained. It is noticed that the equation under study is nonlinearly self-adjoint. This property is useful to calculate more conservation laws. Conservation laws are computed by using the new general conservation theorem of Ibragimov and multiplier approach. Some new exact solutions are achieved using direct integration and (1/G′)—expansion methods.