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

Authors

  • 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

Abstract

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 that reduce the Euler-Lagrange-Born-Infeld equation to linear ordinary differential equations.

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Published

2019-09-03

How to Cite

Fedorchuk, V. M., & Fedorchuk, V. I. (2019). On symmetry reduction of the Euler-Lagrange-Born-Infeld equation to linear ODEs. Transactions of Institute of Mathematics, the NAS of Ukraine, 16(1), 193–202. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/376

Issue

Vol. 16 No. 1 (2019): Symmetry and Integrability of Equations of Mathematical Physics

Section

Research papers