Instability of Obliquely Propagating Electrostatic Solitary Waves in a Magnetized Nonthermal Dusty Plasma

A theoretical investigation has been made of instability of obliquely propagating electrostatic solitary structures in a magnetized three-component dusty plasma, which consists of a negatively charged dust fluid, Blotzmann distributed electrons, and free as well as fast ions. The Zakharov–Kuznetsov equation for these electrostatic solitary structures that exist in this plasma system is derived and their three dimensional instability is studied by the small- k (long-wavelength plane wave) perturbation expansion method. The instability criterion and its growth rate depending on the magnetic field and the propagation directions of the solitary waves are discussed. The implications of these results to some space and astrophysical plasma situations are briefly mentioned.