Nonlinear pulsations in self-gravitating multi-species viscoelastic dusty plasmas

We present a theoretical model to investigate the nonlinear behavior of gravito-electrostatic fluctuations in an unmagnetized self-gravitating visco-elastic dusty plasma of infinite extension. It is composed of five distinct species: nonthermal lighter (inertialess) components–electrons, positive ions, and negative ions–and thermal heavier (inertial) components–neutral and charged dust grains. Applying nonlinear normal mode analysis, we derive a unique pair of extended Korteweg–de Vries–Burgers (KdV–B) equations that describe the hybridized dynamics of coupled gravito-electrostatic potential fluctuations. A judicious numerical platform is constructed to understand the exact nature of the fluctuation dynamics. It is reviewed that the KdV-B system manifests as electrostatic narrow solitary spectral patterns and the corresponding self-gravitational broad counterparts. The steady-state nature of the fluctuation dynamics is found to be sensitively dependent on diverse plasma parameters. Astronomical applicability of the investigated results in light of current observational missions is finally outlined.