Oblique nonlinear Alfven waves in strongly magnetized beam plasmas. Part 2. Soliton solutions and integrability

(with Peter Meuris and Frank Verheest )

Oblique propagation of MHD waves in warm multi-species plasmas with anisotropic pressures and different equilibrium drifts is described by a modified vector derivative nonlinear Schrodinger equation, if charge separation in Poisson's equation and the displacement current in Ampere's law are properly taken into account. This modified equation cannot be reduced to the standard derivative nonlinear Schrodinger equation, and hence requires a new approach to solitary- wave solutions, integrabilty and related problems. The new equation is shown to be integrable by the use of the prolongation method, and by finding a sufficient number of conservation laws, and possesses bright and dark soliton solutions, besides possible periodic solutions.