3 papers
math-ph2004
Plasma equilibrium equations in coordinates connected with magnetic surfaces. Exact equilibrium solutions
Alexei F. Cheviakov
A representation of the static MHD equilibrium system in coordinates connected with magnetic surfaces is suggested. It is used for producing families of non-trivial 3D exact soluti…
math-ph2002
Infinite-dimensional Bäcklund transformations between isotropic and anisotropic plasma equilibria. Infinite symmetries of anisotropic plasma equilibria
Alexei F. Cheviakov
In this paper we establish Bäcklund transformations between solutions of several cases of classical isotropic MHD and plasma equilibria and corresponding anisotropic equilibria. Th…
math.AP2002
Lie Group analysis of Plasma equilibrium equations
Alexei F. Cheviakov
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 transform…