Symmetry properties of some Euler-type equations in plasma physics

Physics – Mathematical Physics

Scientific paper

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Scientific paper

We consider a system of partial differential equations, of interest to plasma
physics, and provide all its Lie point symmetries, with their respective
invariant solutions. We also discuss some of its conditional and partial
symmetries. We finally show that, although the system can be cast in divergence
form and admits conserved currents, it does not admit potential symmetries.

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