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Infinite-dimensional Bäcklund transformations between isotropic and anisotropic plasma equilibria. Infinite symmetries of anisotropic plasma equilibria

Alexei F. Cheviakov
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Abstract

In this paper we establish Bäcklund 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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Alexei F. Cheviakov. 2002-10-30. Infinite-dimensional Bäcklund transformations between isotropic and anisotropic plasma equilibria. Infinite symmetries of anisotropic plasma equilibria. https://arxiv.org/abs/math-ph/0210050

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