Dust-acoustic shock structures in magnetized dusty plasma with trapped nonthermal electrons and positrons

The properties of electrostatic shock waves in a magnetized, viscous, multi-component dusty plasma have been examined. The plasma, composed of negatively charged dust, trapped electrons, trapped positrons, and Boltzmann-distributed positive and negative ions, facilitates the propagation of low-frequency electrostatic shock structures. A modified Korteweg–de Vries–Burgers equation is derived using the reductive perturbation technique, and analytical shock wave solutions have been obtained through the Tanh method. The characteristics of these dust acoustic shock waves (DAShWs) are examined across various parameter ranges. The propagation characteristics of DAShWs are significantly affected by various physical factors, such as the degree of electron and positron trapping, magnetic field intensity, temperature and density imbalances among plasma species, wave propagation direction, and the medium’s viscous properties. This study provides insights into the nonlinear electrostatic excitations observed in both astrophysical and laboratory plasma environments.