Obliquely overtaking Collisions of electron-acoustic solitary waves of inertial cold and beam electrons in the presence of superthermal electrons

Abstract

Overtaking collision of the electron-acoustic solitary waves in the four-component collisionless, magnetized plasma has been investigated. The system consists of cool inertial background electrons of temperature Tc, cool inertial electron beam of temperature Tb, hot inertialess superthermal electrons modeled by a κ-distribution of temperature Th and ions. Nonlinear Korteweg–de Vries (KdV) equation that characterizing the EASWs in such a plasma model is derived. The system admits both compressive and rarefactive solitary waves. The overtaking collision of two and three-soliton solutions is investigated using Hirota’s bilinear technique. Physical parameters influence the interchange of energy caused by overtaking collisions. These parameters comprise the magnetic field, obliquity angle, the beam, cool and hot electrons number densities and temperatures, and this causes the solitons behavior to be alternated. The amplitude, and width increase as the superthermal electrons temperature increases or magnetic field decreases. The system parameters have an effect on the phase shifts as well. The current research is an attempt to shed light on the characteristics of N-soliton in the four-component collisionless, magnetized plasma that are applicable in several astrophysical plasma environments such as the Earth’s magnetosphere.