Low-frequency electrostatic structures associated with dust-acoustic waves in magnetized dusty plasmas in the presence of <i>κ</i>-nonthermal electrons and positrons

Properties of low-frequency electrostatic structures (solitary and shock waves) associated with dust-acoustic waves (DAWs) in a magnetized dusty plasma in the presence of κ-distributed positrons and electrons have been examined. The Zakharov–Kuznetsov–Burgers equation has been derived by adopting the reductive perturbation approach. The solitary and shock wave solution has also been obtained for different limiting cases to analyze the basic features of solitary and shock waves. The propagation properties of DAWs are modified significantly due to the variation of different compositional parameters (such as superthermal index κ, negative-to-positive dust mass α1, the electron-to-positron temperature σp, the obliqueness angle θ, the cyclotron frequency of dust Ω, and the viscosity parameter η.) of the considered plasma. This research sheds light on the nonlinear electrostatic excitations present in the interstellar medium and laboratories, offering valuable insights into the complex behavior of astrophysical and laboratory plasmas.