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.

The characteristics of (non)linear dust-ion acoustic waves (DIAWs) in a collisionless, magnetized dusty plasma are investigated. The current model is composed of ( r, q)-distributed electrons along with warm ions and stationary dust grains with negative charge. Both linear and nonlinear waves are considered to progress in x- z plane. The properties of linear waves are studied by deriving the dispersion relation for the plasma parameters of Saturn’s magnetosphere. The fluid equations of the current model are reduced to the universal Korteweg-de Vries (KdV) equation in order to study the characteristics of oblique propagation of DIA solitary waves (DIASWs). The critical point at which the nature/polarity of solitons changes is determined precisely. The influence of various plasma parameters, namely, obliqueness, magnetic field, densities, temperatures, and double 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. This work would be helpful to study other astrophysical and laboratory plasma systems where dusty plasmas and ( r, q) distribution are predicted.