Nonlinear Self‐Gravitational Solar Plasma Fluctuations with Electron Inertia

A theoretical evolutionary model for new nonlinear self‐gravitational fluctuations associated with the solar plasma system is developed. The lowest‐order inertial correction of the plasma thermal electrons is considered. We try to present our calculation scheme leading to the fluctuation patterns evolving as a new class of nonlinear coherent structures. It is demonstrated that they are mainly monotonous shock‐like eigenmodes governed by a unique type of driven Korteweg‐de Vries Burger (d ‐KdVB) equation obtained by multiscale analysis over the gravito‐electrostatic equilibrium structure equations. The self‐consistent new and unique nonlinear driving source here appears due to the inclusion of weak electron inertia. The d ‐KdVB system is studied analytically, graphically and numerically in detail to show the detailed features of the eigenmodes. Our conclusions are in good qualitative agreement with multispace satellite and imaging detections made by others. Main results significant to diverse solar, stellar and other astrophysical contexts along with future directions are summarily highlighted. (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)