Modulation of multi-dimensional waves in anisotropic magnetized plasma

One of the generic nonlinear mechanism which was so far unexplored is the oblique amplitude modulation of ion acoustic waves (IAWs) in anisotropic magnetoplasma with positive ions having anisotropic thermal pressure and Maxwellian electrons. The three-dimensional (3D) nonlinear Schrödinger equation (NLSE) for the wave potential is derived via a multi-scales perturbation technique. The criteria under which the 3D modulational instability (MI) develops are discussed. The upshots of relevant plasma parameters, specifically, the ion pressure anisotropy on the dynamics of 3D MI of IAWs as well as the instability growth rate are investigated in detail. The bearing to peculiar plasma environments is also highlighted.