Lie Group analysis of Plasma equilibrium equations

Details Lie Group analysis of Plasma equilibrium equations Lie Group analysis of Plasma equilibrium equations

2002-10-30

arxiv.org/abs/math/0210459v1

Mathematics

Analysis of PDEs

14 pages

Scientific paper

In this paper we perform Lie group analysis of systems of partial differential equations which describe different cases of classical plasma equilibria, and find groups of transformations admitted by those equations in several important cases. We also give a recipe how to apply Lie formalism to look for B\"{a}cklund transformations between systems of partial differential equations, using plasma equilibrium system as an example.

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