Effects of Dust Charge Fluctuation on Nonlinear Waves in Dusty Plasma

A magnetized adiabati dusty electronegative plasma (DENP) (containing Boltzmann electrons, Boltzmann negative ions, adiabati mobile positive ions, and negatively charged stationary dust) has been finally considered, and obliquely propagating DIA solitary waves, and their multi-dimensional instabilities have been theoretically investigated by the reductive perturbation method, and small-k perturbation expansion technique. The combined effects of ion adiabaticity, external magnetic field (obliqueness), and negatively charged dust on the basic properties (speed, amplitude, width, and instability) of small but finite - amplitude DIA solitary waves, are explicitly examined. It is shown that the instability criterion and the growth rate of the unstable perturbation mode are significantly modified by the external magnetic field, the propagation directions of both the nonlinear waves and their perturbation modes. The implications of our results in space and laboratory dusty plasmas are briefly discussed.