KdV and mKdV Ion-Acoustic Solitary Waves In a Positron-beam Plasma with Kaniadakis Distributed Electrons

Theoretical and numerical studies of ion-acoustic solitary waves (IASWs) in an unmagnetized plasma with ions, positron beams under pressure variation, and kaniadakis distributed electrons have been conducted. The potential wave amplitude is calculated by applying the reductive perturbation approach to reduce the controlling set of normalized fluid equations to Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations. In mKdV solutions, only compressive solitons are found, whereas both compressive and rarefactive KdV solitons are found to exist for different values of σ, σb, and ν. The parameter k has no effect on the IASWs of the KdV equation, but have contribution in mKdV solitons. It is also shown that the inclusion of nonthermal electrons drastically changes the basic properties of ion-acoustic solitons and creates a new parametric regime.