Impact of trapped non-thermal ions on electrostatic shock structures associated with dust-acoustic waves

The characteristics of obliquely propagating dust-acoustic shock waves (OPDAShWs) in an electron-depleted opposite polarity dusty plasma (containing inertial positive and negative dust and inertialess ions following the Schamel–Vasyliunas distribution function) have been investigated. The effect of the ambient magnetic field is taken into account. The modified Korteweg–de Vries–Burgers (mKdVB) equation is obtained by employing the reductive perturbation method. The solution of the mKdVB equation is used to analyze the properties of dust-acoustic shock waves. The study reveals that the basic features of the shock waves (such as amplitude, speed, width, etc.) are modified due to the trapping effect, ion nonthermality, magnetic field, positive and negative dust densities, and obliqueness of wave propagation. This investigation can be particularly helpful in understanding the nonlinear propagation of dust acoustic shock waves in space plasmas with oppositely charged dust grains, where trapped species are evident (e.g., Earth’s magnetosphere, auroral region, etc).