A modified EMHD model is derived that includes the effects of density
perturbations and inhomogeneity in a strong magnetic field. Similar to
previous EMHD models, the derived equation takes the form of a flux c
onservation law for a modified vorticity. The modified vorticity is fr
ozen into the current flow. The model unifies whistler and electron gr
adient waves and generalizes the nonlinear models for these modes. In
2D, the model again reduces to a set of two coupled equations for the
vertical magnetic field and the poloidal flux. The scale length in the
equation for the vertical held is modified and a drift term is introd
uced there, whereas the equation for the poloidal flux is not modified
with respect to previous 2D models. A noncanonical Hamiltonian repres
entation for the 2D equations is presented. (C) 1998 Elsevier Science
B.V.