Volodymyr B. Taranov, “Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models”, SIGMA, 2008, Volume 4,006, 7 pp.

This article is cited in 2 papers

Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models

Volodymyr B. Taranov

Institute for Nuclear Research, 47 Nauky Ave., 03028 Kyiv, Ukraine

Abstract: Characteristic examples of continuous symmetries in hydrodynamic plasma theory (partial differential equations) and in kinetic Vlasov–Maxwell models (integro-differential equations) are considered. Possible symmetry extensions conditional and extended symmetries are discussed. Physical reasons for these symmetry extensions are clarified.

Keywords: symmetry; plasma; hydrodynamic; kinetic.

MSC: 35A30; 35Q60; 45K05; 58J70; 22E70

Received: October 31, 2007; in final form January 14, 2008; Published online January 17, 2008

Language: English

DOI: 10.3842/SIGMA.2008.006