2002/10/30 by Alexei F. Cheviakov, Cheviakov, Alexei F.
Environmental Science · Mathematics · Physics and Astronomy · #37C80 #76W05 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Hydrological Forecasting Using AI #Mathematical Biology Tumor Growth #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.AP #math.MP #msc:37C80 #msc:76W05
paper · pdf · doi:10.48550/arxiv.math/0210459
14 pages
arxiv created 2002/10/30 · openalex publication_date 2002/10/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Bäcklund transformations between systems of partial differential equations, using plasma equilibrium system as an example.