Variable-Sized Dust Grains and Hybrid Cairns-Tsallis-Distributed Electron Effects on Collision Dynamics of Dust Acoustic Waves in Saturn’s Dusty Plasma

The overtaking collision of dust acoustic waves (DAWs) featuring electrons distributed according to a hybrid Cairns-Tsallis model and Boltzmann-distributed ions is investigated in this paper. The Korteweg de Vries (KdV) equation, which permits rarefactive DAWs, is the result of nonlinear research of the plasma system utilizing the reductive perturbation approach. Using Hirota’s bilinear method, the overtaking interaction between two and three-soliton solutions is examined. Physical factors that affect the overtaking collisions and change the dynamics of the solitons include electron density, dust radius ratio, and nonextensive parameters. Interestingly, the solitons amplitude and width grow when the electron density and dust radius ratio rise or the nonextensivity falls. In addition, the system’s properties have an impact on the phase alterations of the solitons. The information offered here may be useful for the investigation of DAWs in dusty space plasmas, including cometary environments, the F and G rings of Saturn, and laboratory plasmas with nonthermal nonextensive electrons.