An analogy between electromagnetic and internal waves
- Authors: Baydulov V.G.1,2, Lesovskiy P.A.1
-
Affiliations:
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Bauman Moscow State Technical University
- Issue: Vol 485, No 4 (2019)
- Pages: 428-433
- Section: Mechanics
- URL: https://journals.eco-vector.com/0869-5652/article/view/13544
- DOI: https://doi.org/10.31857/S0869-56524854428-433
- ID: 13544
Cite item
Full Text
Abstract
For the symmetry group of internal-wave equations, the mechanical content of invariants and symmetry transformations is determined. The performed comparison makes it possible to construct expressions for analogs of momentum, angular momentum, energy, Lorentz transformations, and other characteristics of special relativity and electro-dynamics. The expressions for the Lagrange function are defined, and the conservation laws are derived. An analogy is drawn both in the case of the absence of sources and currents in the Maxwell equations and in their presence.
Keywords
About the authors
V. G. Baydulov
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Bauman Moscow State Technical University
Author for correspondence.
Email: baydulov@gmail.com
Russian Federation, 101, bldg. 1, Vernadskogo prospect, Moscow, 119526; 5, 2-nd Baumanskaya, Moscow, 105005
P. A. Lesovskiy
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Email: baydulov@gmail.com
Russian Federation, 101, bldg. 1, Vernadskogo prospect, Moscow, 119526
References
- Лайтхилл Дж. Волны в жидкостях. М.: Мир, 1981. 400 с.
- Байдулов В. Г., Чашечкин Ю. Д. Инвариантные свойства уравнений движения стратифицированных жидкостей // ДАН. 2002. Т. 387. № 6. С. 760-763.
- Ландау Л. Д., Лифшиц Е. М. Теоретическая физика. Т. 2. Теория поля. М.: Наука, 1988. 512 с.
- Макаров С. А., Неклюдов В. И., Чашечкин Ю. Д. Пространственная структура пучков двумерных монохроматических внутренних волн в экспоненциально стратифицированной жидкости // Изв. РАН. Физика атмосферы и океана. 1990. Т. 26. № 7. С. 744-754.