Quasisymmetric magnetic fields in asymmetric toroidal domains

We explore the existence of quasisymmetric magnetic fields in asymmetric toroidal domains. These vector can be identified with a class magnetohydrodynamic equilibria presence pressure anisotropy. First, using Clebsch potentials, we derive system two coupled nonlinear first order partial differential equations expressing family bounded In regions where flux surfaces and constant field strength are not tangential, this further reduced to single degenerate second equation externally assigned initial data. Then, exhibit regular which correspond local solutions anisotropic magnetohydrodynamics domains such that tangential boundary conditions fulfilled on portion bounding surface. The problems shape locality also discussed. find symmetric fitted into domains, mathematical difficulty encountered derivation global lies topological obstruction toward extension affecting governing equations.