Low-frequency nonlinear ion-acoustic cnoidal waves in a superthermal plasma with a monoenergetic electron beam

Abstract

This study analyzes the behavior of nonlinear electrostatic ion-acoustic cnoidal waves (IACWs) in a magnetoplasma characterized by two distinct temperatures of superthermal electrons and a monoenergetic electron beam. For this purpose and based on fluid theory, the reductive perturbation technique is applied to reduce the basic equations to a third-order Korteweg-de Vries (KdV) equation. Under certain conditions, the KdV equation can be used for modeling symmetric CWs; when these conditions are not met, it is replaced by a Kawahara equation to describe these waves correctly. The symmetric IACWs features are examined in detail to determine the effect of pertinent plasma parameters. This study may help model nonlinear structures in astrophysical and space plasmas and understand the mechanism of CWs in the plasma sheath region.