Oblique electrostatic waves in a dusty plasma with (r; q) distributed electrons for Saturn’s magnetosphere

Abstract The linear and nonlinear propagation characteristics of dust ion acoustic waves (DIAWs) are investigated in a collisionless, magnetized dusty plasma. The system is composed of (r; q) distributed electrons with warm ions and stationary dust and propagation of the wave is taken in the x-z plane. The linear properties of the system are studied for the plasma parameters of Saturn magnetosphere are studied by the dispersion relation. The characteristics of oblique propagation of dust ion acoustic solitary waves (DIASWs) are studied by deriving Korteweg de Vries (KdV) equation and the critical point is determined at which the nature of solitons changes. The infuence of various parameters, namely, obliqueness, magnetic field, densities, temperatures, and spectral indices of the (r; q) distributed electrons on DIASWs is investigated for Saturn’s magnetosphere. The DIASWs of (r; q) distributed electrons are also compared with Maxwellian electrons. The present work might be helpful to study other astrophysical and space systems where dusty plasmas and (r; q) distribution are predicted.