Non-linear propagation of electrostatic waves in relativistic Fermi plasma with arbitrary temperature

Modulational instability of electron plasma waves has been investigated by using the quantum hydrodynamic (QHD) model for quantum plasma at finite temperature by deriving a non-linear Schrödinger equation including relativistic effects. It is shown that the electron degeneracy parameter and streaming velocity significantly affect the linear and non-linear properties of electron plasma waves in a finite temperature quantum plasma. (author)