Про класифікацію симетрійних редукцій та інваріантних розв’язків рівняння Ойлера–Лагранжа–Борна–Інфельда

• Дата: 2019
• Автори: Fedorchuk, V. M., Fedorchuk, V. I.
• Формат: Стаття
• Мова: English
• Опубліковано: Publishing house "Academperiodika" 2019
• Теми: structural properties of Lie argebras; nonsingular manifolds; classification of symmetry reductions; invariant solutions; Poincar´e group P(1, 4); Euler–Lagrange–Born–Infeld equation; -
• Онлайн доступ: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019539
• Назва журналу: Ukrainian Journal of Physics

We study a connection between the structural properties of the low-dimension (dimL ≤ 3) nonconjugate subalgebras of the Lie argebra of the generalized Poincar´e group P(1,4) and the results of symmetry reductions for the Euler–Lagrange–Born–Infeld equation. We have performed the classification of nonsingular manifolds in the space M(1 , 3 ) × R(u) invariant with respect to three-dimensional nonconjugate subalgebras of the Lie algebra of the group P(1,4). The results are used for the classification of symmetry reductions and invariant solutions of the Euler–Lagrange–Born–Infeld equation.