Higher-order solution of an electron acoustic solitary waves via vortex electron distribution

The propagation of solitary electron acoustic waves in an unmagnetized collisionless plasma is studied by use of the reductive perturbation method. A modified Korteweg-de Vries (mKdV) equation that contains the lowest-order nonlinearity and dispersion is derived from the lowest order of perturbation. The higher-order dispersive effects have to be taken into account and higher-order solutions are obtained.