Amplitude modulation of three-dimensional low-frequency solitary waves in a magnetized dusty superthermal plasma

摘要

The amplitude modulation of three-dimensional (3D) dust ion-acoustic wave (DIAW) packets is studied in a collisionless magnetized plasma with inertial positive ions, superthermal electrons and negatively charged immobile dust grains. By using the reductive perturbation technique, a 3D-nonlinear Schr?dinger equation is derived, which governs the slow modulation of DIAW packets. The latter are found to be stable in the low-frequency ((omega omega _{ext {c}}), and the modulational instability is related to the modulational obliqueness ((heta )). Here, (omega ~(omega _{ext {c}})) is the nondimensional wave (ion-cyclotron) frequency. It is shown that the superthermal parameter (kappa), the frequency (omega _{ext {c}}) as well as the charged dust impurity ((0