Dust kinetic Alfvén solitary and rogue waves in a dusty plasma with two temperature nonextensive ions

A theoretical investigation is carried out to study small amplitude dust kinetic Alfvén solitary waves (DKASWs) and rogue waves in a low-β, electron depleted plasma consisting of negatively charged dust grains and two temperature ions which are modelled by q-nonextensive distribution. A nonlinear Korteweg-de Vries equation, which governs the evolution of DKASWs, has been derived using the reductive perturbation method. Combined effects of the nonextensivity of ions, plasma beta, temperature ratio of low and high temperature ions, concentration of ions as well as dust, and angle of propagation (θ) have been studied in detail on the propagation properties of DKASWs. Only negative potential Alfvénic solitary waves are observed in the present study. Further, the study is extended for dust kinetic Alfvén rogue wave (DKARW) solutions. The properties of DKARWs, influenced by plasma parameters in question, are discussed in detail. The findings of this study may be useful to understand the formation of nonlinear coherent structures in Saturn's F-ring.