On symmetry reduction of the Euler-Lagrange-Born-Infeld equation to linear ODEs

• Date: 2019
• Author Affiliations: V. M. Fedorchuk — Pedagogical University, Cracow; Ya.S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine; V. I. Fedorchuk — Ya.S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
• Keywords: keywords
• Main Authors: Fedorchuk, V. M., Fedorchuk, V. I., Федорчук, В. М., Федорчук, В. І.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/376
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Connections between structure properties of three-dimensional subalgebras of the Poincare algebra ${\mathfrak p}(1,4)$ and Lie reductions of the Euler-Lagrange-Born-Infeld equation are studied. We concentrate our attention on Lie reductions with respect to three-dimensional subalgebras...