Nonlinear Gravitoelectrostatic Sheath Fluctuation in Solar Plasma

Abstract

The nonlinear normal mode dynamics is likely to be modified due to nonlinear, dissipative, and dispersive mechanisms in solar plasma system. Here we apply a plasma-based gravitoelectrostatic sheath (GES) model for the steady-state description of the nonlinear normal mode behavior of the gravitoacoustic wave in field-free quasineutral solar plasma. The plasma-boundary wall interaction process is considered in global hydrodynamical homogeneous equilibrium under spherical geometry approximation idealistically. Accordingly, a unique form of KdV-Burger (KdV-B) equation in the lowest-order perturbed GES potential is methodologically obtained by standard perturbation technique. This equation is both analytically and numerically found to yield the GES nonlinear eigenmodes in the form of shock-like structures. The shock amplitudes are determined (~0.01 V) at the solar surface and beyond at 1 AU as well. Analytical and numerical calculations are in good agreement. The obtained results are compared with those of others. Possible results, discussions, and main conclusions relevant to astrophysical context are presented.