Infinite-dimensional B\"acklund transformations between isotropic and anisotropic plasma equilibria. Infinite symmetries of anisotropic plasma equilibria
Abstract
In this paper we establish B\"acklund 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.
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