
SIGMA 4 (2008), 006, 7 pages arXiv:0801.2773
http://dx.doi.org/10.3842/SIGMA.2008.006
Contribution to the Proceedings of the Seventh International Conference Symmetry in Nonlinear Mathematical Physics
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
Received October 31, 2007, in final form January 14, 2008; Published online January 17, 2008
Abstract
Characteristic examples of continuous symmetries in
hydrodynamic plasma theory (partial differential equations) and in
kinetic VlasovMaxwell models (integrodifferential equations)
are considered. Possible symmetry extensions conditional and
extended symmetries are discussed. Physical reasons for these
symmetry extensions are clarified.
Key words:
symmetry; plasma; hydrodynamic; kinetic.
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