Dust Ion Acoustic Solitary Waves in a Magnetized Plasma with Super-thermal Electrons

By considering a magnetized dusty plasma system which is composed of inertial negatively charged dust particles, positively charged warm ions, and inertia less κ-distributed electrons, the obliquely propagating dust ion acoustic solitary waves (DIASWs) are thoroughly examined. The shape of nonlinear electrostatic excitations is significantly altered by the external magnetic field. A Zakharov–Kuznetsov equation is derived by utilizing well known reductive perturbation method. The basic characteristics (amplitude, width, phase speed, etc.) that related to the DIASWs are examined. It is found that for the considered plasma system the fundamental features of DIASWs changes significantly. It is correspondingly analyzed that the amplitude of positive solitary waves changes significantly for different plasma parameters. The results of this work can be used to comprehend the properties of DIASWs and localized electrostatic structures in different astrophysical plasmas. Numerous physical parameters, including the temperature ratio, electron superthermality, and dust to ion mass ratio, have a substantial impact on the propagation characteristics of DIASWs. An increase in dust content enhances the overall mass loading, which tends to reduce phase speed and broaden the solitary structures, while also modifying the balance between dispersion and nonlinearity. A brief discussion is given of the implications of this work for laboratory plasmas and space.