NEW SOLUTIONS TO THE VORTEX ANISOTROPIC ELECTRON HYDRODYNAMIC EQUATIONS FOR A WEIBEL PLASMA

On the basis of the group analysis, new nonlinear solutions to the equ ations of Vorfex Anisotropic Electron Hydrodynamics (VAEH) describing large-scale magnetic structures in a plasma with an anisotropic pressu re are obtained. Unlike familiar particular nonlinear solutions to the VAEH equations, new solutions, which are found in the form of an infi nite series, are invariant or partially invariant with respect to the permissible Lie and Lie-Backlund symmetry groups. Examples of finite r egular solutions and solutions in the form of magnetic explosion are p resented to illustrate the new solutions obtained.