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.
arXiv commentSubmitted to Physics of Plasmas
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