Nuclear Physics and Atomic Energy 6(3) (2005) 79

Ядерна фізика та енергетика
Nuclear Physics and Atomic Energy

ISSN: 1818-331X (Print), 2074-0565 (Online)
Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
Languages: Ukrainian, English
Periodicity: 4 times per year

Open access peer reviewed journal

Home page

About

Nucl. Phys. At. Energy 2005, volume 6, issue 3, pages 79-82.
Section: Plasma Physics.
Received: 09.06.2005; Published online: 30.12.2005.

Full text (en)
https://doi.org/10.15407/jnpae2005.03.079

Extended symmetries of the kinetic plasma theory models

V. B. Taranov¹

¹Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Abstract: Symmetry extension of the kinetic theory of collisionless plasma containing particles with equal charge to mass ratio is considered. It is shown that this symmetry allows us to reduce the number of equations. Symmetries obtained for the integro-differential equations of the kinetic theory by the indirect algorithm are compared to those obtained by direct methods. The importance of additional conditions - positiveness and integrability of distribution functions, existence of their moments - is underlined.

References:

1. CRC Handbook of Lie Group Analysis of Differential Equations. Ed. by N. H. Ibragimov (Boca Raton: CRC Press, Inc., 1994 - Vol. 1; 1995 - Vol. 2; 1996 - Vol. 3).

2. Таранов В. Б. Непрерывные симметрии продольных движений бесстолкновительной плазмы, инвариантные решения и законы сохранения. Препр. АН УССР. Ин-т теор. физики ИТФ-78-161Р (Київ, 1979) 30 с.

3. Taranov V. В. Sov. Phys. Tech. Phys. 21 (1976) 720.

4. Zawistowski Z. J. Symmetries of integro-differential equations. Rep. Math. Phys. 48 (2001) 269. https://doi.org/10.1016/S0034-4877(01)80088-4