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.