2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57188In 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.12 pagesMathematical PhysicsDynamical Systems76W05; 37N20text