Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 4 (2008), 006, 7 pages      arXiv:0801.2773
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

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.

Key words: symmetry; plasma; hydrodynamic; kinetic.

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