Breather waves in a beam plasma with regularized kappa-distributed electrons

Abstract The propagation properties of electron acoustic waves (EAWs) in a plasma medium containing stationary ions, regularized kappa-distributed electrons, and a streaming electron beam are investigated. Using the reductive perturbation technique (RPT), a nonlinear Schrödinger equation (NLSE) governing the wave dynamics is derived. The analytical solutions, including bright and dark solitons, Akhmediev, Peregrine, and Kuznetsov–Ma breathers, as well as first-, second-, and third-order rogue waves, are calculated. A distinctive result of the present study is the examination of the existence of both bright and dark solitons at lower values of κ. In addition it is found that the soliton widths decrease as κ increases. These findings provide a useful insight into nonlinear wave activity in magnetospheric environments.