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

Physics – Mathematical Physics

Scientific paper

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This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2008.006

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.

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