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Symmetry properties of some Euler-type equations in plasma physics

2004/11/15 by F. Ceccherini, Giampaolo Cicogna, G. Cicogna +5
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Differential Equations and Numerical Methods #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0411051

arxiv created 2004/11/15 · openalex publication_date 2004/11/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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