Self-interacting Stationary Formations in Plasmas under Externally Controlled Fields

Abstract The formation and evolution of a Korteweg–de Vries (KdV) soliton in a dense quantum plasma consisting of electrons and ions is studied. The solitary profile is first obtained and the external force is applied to study the effect of force on the stationary formation. Further, a new technique based on the MacCormack Predictor Corrector scheme is designed to study the plasma species individual behavior in external field and their collective effect in the KdV soliton formations. The results thus obtained will help in future understanding of the plasma particles’ behavior under a variety of external forces.