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.
Citation:
Volodymyr B. Taranov, “Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models”, SIGMA, 4 (2008), 006, 7 pp.
\Bibitem{Tar08}
\by Volodymyr B.~Taranov
\paper Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models
\jour SIGMA
\yr 2008
\vol 4
\papernumber 006
\totalpages 7
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\crossref{https://doi.org/10.3842/SIGMA.2008.006}
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Linking options:
https://www.mathnet.ru/eng/sigma259
https://www.mathnet.ru/eng/sigma/v4/p6
This publication is cited in the following 2 articles:
Chesnokov A.A., Pavlov M.V., “Reductions of Kinetic Equations to Finite Component Systems”, Acta Appl. Math., 122:1, SI (2012), 367–380
Grigoriev Y.N., Ibragimov N.H., Kovalev V.F., Meleshko S.V., “Introduction to group analysis and invariant solutions of integro-differential equations”, Symmetries of Integro-Differential Equations, Lecture Notes in Physics, 806, 2010, 57–111
Citation in format AMSBIB
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