Theory of a resistive high-current plasma-filled diode

Exact solutions to the set of nonlinear two-fluid MHD equations describing the physical problem of a steady current flow in a two-dimensional resistiv e plasma-filled diode are obtained and investigated. Even though, in the co urse of investigation, the class of solutions becomes more narrow, the fina l solution is derived as an exact solution to the initial set of equations. Such factors as the representation of the conductivity in a fairly general form, the allowance for ponderomotive currents, and a sufficiently wide sc ope of effects describable analytically make it feasible to reveal possible important situations to which the approach developed might be implemented practically.