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A rigorous theoretical investigation has been made on electron acoustic wavepropagating in unmagnetized collisionless plasma consisting of a cold electronfluid, non-thermal hot electrons and stationary ions. Based on thepseudo-potential approach, large amplitude potential structures and theexistence of solitary waves are discussed. The reductive perturbation methodhas been employed to derive the Korteweg-de Vries (KdV) equation for small butfinite amplitude electrostatic waves. An algebraic method with computerizedsymbolic computation, which greatly exceeds the applicability of the existingtanh, extended tanh methods in obtaining a series of exact solutions of the KdVequation. Numerical studies have been made using plasma parameters close tothose values corresponding to the dayside auroral zone reveals differentsolutions i.e., bell-shaped solitary pulses, rational pulses and solutions withsingularity at a finite points which called blowup solutions in addition to thepropagation of an explosive pulses. The result of the present investigation maybe applicable to some plasma environments, such as terrestrial magnetosphere.

Solitary, explosive and rational solutions for nonlinear electron-acoustic waves with non-thermal electrons