Infinite-dimensional B\"{a}cklund transformations between isotropic and anisotropic plasma equilibria. Infinite symmetries of anisotropic plasma equilibria

TL;DR

This paper introduces infinite-dimensional Bäcklund transformations connecting isotropic and anisotropic plasma equilibria, enabling the generation of diverse solutions and revealing a new symmetry group for anisotropic plasma equations.

Contribution

It establishes novel infinite-dimensional Bäcklund transformations between isotropic and anisotropic plasma equilibria and identifies a new symmetry group for anisotropic plasma equations.

Findings

Transformations are infinite-dimensional.

Solutions with diverse physical properties can be constructed.

A new symmetry group for anisotropic plasma equilibria is identified.

Abstract

In this paper we establish B\"{a}cklund transformations between solutions of several cases of classical isotropic MHD and plasma equilibria and corresponding anisotropic equilibria. The transformations appear to be infinite-dimensional and allow building solutions with variety of physical properties. We also present a new infinite-dimensional Lie group of intrinsic symmetries of anisotropic plasma equilibria equations, similar to those for the isotropic case.