The propagation of electron-acoustic waves has received a great deal of renewed interest due to the potential importance of electron-acoustic wave in interpreting electrostatic component of the broad band electrostatic noise observed in the cusp of the terrestrial magnetosphere, in the geomagnetic tail, in auroral region etc. In this problem we have studied the two electron temperature plasma which occurs both in laboratory experiments and in space environments. We study the electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying non-thermal distribution and stationary ions. For the large amplitude electron solitary wave, we have derived the expression for the pseudopotential. Solitons are observed for the chosen set of parameters. The increase in the value of the relative hot electron density influences the formation of solitons. The variation of β is observed to have marked effect on the characterization of solitons. The Mach number M also plays the crucial role for the formation of solitons.