Large amplitude electrostatic waves are very important in various nonlinear phenomena in plasma

Large amplitude electrostatic waves are very important in various nonlinear phenomena in plasma. Numerous studies have been carried out to solve the analytical and numerical problems of a large amplitude wave in plasma 1-8. The obtained results of large amplitude electrostatic wave solution can be used for several applications such as stimulated Raman scattering9, Earth’s magnetopause studies8, 10, Kelvin-Helmholtz instability11 and solitary structure12, 13. Furthermore, the large amplitude electrostatic wave solution is really important from the educational point of view6.
Temporal damping rate and frequency shift of large-amplitude one-dimensional electron plasma waves were evaluated numerically by J. Juul Rasmussen and K. Thomsen14. They have obtained that damping rate and frequency shift of large-amplitude electron plasma waves are strongly dependent to amplitude. Yu. M. Aliev and L. Stenflo2 have presented criteria for explosive solutions of large amplitude electron oscillations in a cold plasma slab. They have predicted that a peak in the electron density occurs at the center of a positively charged plasma slab if the initial distribution of electron density is smaller than half of the ion density. G. Brodin and L.Stenflo4 have studied large amplitude electron plasma oscillations in a cold plasma. The obtained results can be considered as a requirement to expanded studies of stimulated Raman scattering in the large amplitude waves. The authors of reference5 have studied large amplitude waves in cold plasma by considering effects of the collision parameter. They observed that electron-ion collisions caused dissipation of the large amplitude electron oscillations. L. Stenflo and G. Brodin 6 have studied temperature effects on large amplitude electron plasma oscillations. They have only studied a case of an initial disturbed electron density with three different values of the temperature parameters.
In this paper, the effect of the collision in the period of the electron plasma density oscillations has studied. Also, the effect of temperature has studied for different value of the initial electron density disturbance. The effect of temperature on the creation and elimination of plasma electron fluctuations was studied. The structure of this article is as below. In the section 2, the theoretical model and nonlinear differential equation introduced. The numerical results are presented in Section 3 and discussed. Finally, a summary conclusion described in the last section.