Published online by Cambridge University Press: 01 November 1998
The dynamics of a magnetic field in a plasma with dominant Hall effect is examined. The evolution of B in the problem is under the essential influence of the fluctuations in plasma density generated by ∇B2. Solutions of two self-consistent EMHD problems are obtained. It turns out to be possible to obtain analytical results with the use of small parameters. The phenomena described here include self-similar nonlinear waves and the escape of a small-amplitude precursor from a convective wave.