Coexistence of Compressive and Rarefactive Solitary Wave Structures in Magnetized Plasma with Kaniadakis Distributed Electrons and Stationary Charged Dust Grains

The present paper investigates the dynamical properties of dust-ion-acoustic (DIA) solitary waves propagating obliquely to an external magnetic field in a three-component plasma system containing positive inertial ions, inertialess electrons, and negatively charged stationary dust grains. The electrons are assumed to obey the Kaniadakis distribution as governed by the deformation index \(\kappa \), which varies between \( - 0.4\) and \(0.4\). Applying the appropriate reductive perturbation method, the Korteweg–de Vries (KdV) and modified KdV equations are derived, and their soliton solutions are numerically investigated. The influences of ion temperature, obliqueness angle, dust concentration, external magnetic field, and \(\kappa \)-deformed parameter on the propagation properties such as amplitude, speed, and width of DIA solitary structure are analysed in detail. It is observed that there can be both compressive and rarefactive DIA solitary structures admitted by the KdV equation due to the variation of dust concentration. As to the mKdV equation, which is valid only in a specific dust concentration, it permits the coexistence of compressive and rarefactive DIA solitary structures with finite amplitude in the plasma. The implication of the outcomes of this investigation may be admissible for understanding the behaviour of nonlinear electrostatic localized waves in space and astrophysical dusty plasma environments.