Oblique nonlinear Alfven waves in strongly magnetized beam plasmas. Part 1. Nonlinear vector evolution equation

(with Peter Meuris and Frank Verheest )

Nonlinear MHD waves prpagating obliquely to the external magnetic field in warm multi-species plasmas with anisotropic pressures and different equilibrium drifts are treated without imposing the customary quasi-neutrality between the different species or neglecting the displacement current in Ampere's law. The wave magnetic field obeys a vector nonlinear evolution equation, which in the limits of parallel propagation or of both the neglect of the displacement current and the imposition of quasi-neutrality reduces to the vector formulation of the well-known derivative nonlinear Schrodinger equation.