Ion-Acoustic Envelope Modes in a Degenerate Relativistic Electron-Ion Plasma
arXiv:1607.01339 · doi:10.1063/1.4952774
Abstract
A self-consistent relativistic two-fluid model is proposed for one-dimensional electron-ion plasma dynamics. A multiple scales perturbation technique is employed, leading to an evolution equation for the wave envelope, in the form of a nonlinear Schrödinger type equation (NLSE). The inclusion of relativistic effects is shown to introduce density-dependent factors, not present in the non-relativistic case - in the conditions for modulational instability. The role of relativistic effects on the linear dispersion laws and on envelope soliton solutions of the NLSE is discussed.
Submitted to Physics of Plasmas