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