Effect of Variable Dust Charge on Overtaking Collision of Multi-Solitons in Dusty Plasma

The propagation and overtaking collision of dust acoustic multi-soliton in a dusty plasma consisting of kappa-distributed electrons, Boltzmann-distributed ions, and negatively charged dust grains has been investigated. In the Theoretical study, we use the reductive perturbation method to derive the Korteweg-De Vries (KdV) equation. Using the Hirota bilinear method, we have found four-soliton and five-soliton solutions of the KdV equation. It is observed that the dust charge variation coefficients are significantly affected by the spectral indices of the electrons. We discovered that plasma systems with variable charged dust grains support the formation of solitons with greater amplitude. Our results help understanding the nonlinear phenomena that form in the magnetospheres of Saturn and Comet Halley as well as in interstellar dusty plasma.