Electron acoustic cnoidal waves in an electron beam plasma

A study of nonlinear electron acoustic (EA) cnoidal waves is carried out in an un-magnetized plasma, in which cold electrons and electron beam as a fluid, inertialess hot superthermal electrons and stationary ions are considered. The reductive perturbation approach is used to derive the Korteweg-de Vries (KdV) equation. Further, the solution for EA cnoidal waves is obtained with appropriate boundary conditions using the Sagdeev pseudopotential technique. The effects of electron beam and other plasma parameters have been analysed numerically to analyse the characteristic properties of EA cnoidal waves. The findings of the current study may be helpful in understanding different nonlinear excitations in space and astrophysical regions.