This document discusses the study of nonlinear electron-acoustic (EA) wave propagation in space plasma environments. EA waves were first observed by Fried and Gould as electron plasma oscillations that can occur without correlation in unmagnetized plasma due to collective effects. The document notes that beyond well-known Langmuir and ion acoustic waves, Fried and Gould observed a damped acoustic-like wave solution. Later studies examined nonlinear propagation of EA waves in unmagnetized plasma with hot Maxwellian electrons and fluid cold electrons and ions, comparing results with spiky structures seen in aurora electrostatic noise observations.