An investigation of dust acoustic (DA) dromions in a magnetized dusty plasma consisting of inertial dust fluid, kappa‐type distributed electrons, and ions is presented. Using reductive perturbation technique, we have derived coupled nonlinear evolution equations of (2 + 1) dimensions (called Davey‐Stewartson (DS‐I) equations). Hirota bilinear method has been employed to derive the analytical solution of DS‐I equations. The solutions of such equations are exponentially localized and are called dromions. The combined effects of various physical parameters such as superthermality of charged particles, strength of magnetic field, and dust concentration have been studied on the existence regions and propagation properties of DA dromions in context with observations of POLAR satellite in the presence of superthermal particles in polar cap boundary layer region of Earth's atmosphere.

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An investigation is presented to study head-on collision of two dust acoustic (DA) shock waves in quantum dusty plasma comprising negative dust, electrons, and ions. Using an extended Poincare-Lighthill-Kuo perturbation method, two Kortweg-de Vries-Burgers equations for shock waves are derived in this plasma. The analytical phase shifts of DA shock waves after collision has been deduced. The effect of various physical parameters such as quantum diffraction, quantum statistics, kinematic viscosity, and temperature ratio on the characteristics of DA shock waves is explored. This study may be of relevance in astrophysical plasmas such as neutron stars and white dwarfs.

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