Abstract
A theoretical investigation is carried out for obliquely propagating higher-order dispersion electron-acoustic solitary waves (EASWs) in a magnetized collisionless plasma consisting of a cold electron fluid and non-thermal hot electrons obeying a non-thermal distribution, and stationary ions. For nonlinear EASWs waves, a reductive perturbation method was employed to obtain the Zakharov-Kuznetsov (ZK) equation. It was found that the present plasma model supports rarefactive EASWs solitons. When the wave amplitude increases, the width and velocity of the wave deviate from the prediction of the ZK equation. This means that we have to extend our analysis to solve the perturbed (ZK) equation with a fifth-order dispersion term. The higher-order solution for the resulting equation has been achieved via what is called the perturbation technique. The effects of the external magnetic field and the obliqueness are found to significantly change the higher-order properties of the EASWs. The present investigation can be of relevance to the electrostatic solitary structures observed in various space plasma environments.