Temperature Contributions on Large Amplitude High Frequency Oscillations in Quantum Plasmas

Abstract

The development of plasma physics theory is closely related to the investigations of various nonlinear phenomena. Most of this theory concerns rather small disturbances which can be treated by means of perturbation techniques, such as quasi-linear theory, wave-wave interactions, etc. Although much effort has been devoted to the search for exact solutions, there are, however, comparatively few results in this field. Therefore, at least for pedagogical purposes, it is still vitally important to look for new exact large amplitude solutions. Most of the previous studies concern cold plasmas. However, the present work will demonstrate that somewhat analogous non-trivial exact solutions also can be found in classical as well as in quantum system where temperature effects are taken into account. Firstly, we find solution of amplitude of oscillating wave in classical plasma and after that at certain condition when classical plasma unable to find amplitude of electron plasma oscillation than we switch towards quantum plasma.