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25 April 2024
 
  » arxiv » math.AP/0210459

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Lie Group analysis of Plasma equilibrium equations
Alexei F. Cheviakov ;
Date 30 Oct 2002
Subject Analysis of PDEs; Mathematical Physics MSC-class: 76W05; 37C80 | math.AP math-ph math.MP
AbstractIn 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 Bäcklund transformations between systems of partial differential equations, using plasma equilibrium system as an example.
Source arXiv, math.AP/0210459
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