Semiclassical relativistic fluid theory for electrostatic envelope modes in dense electron-positron-ion plasmas: Modulational instability and rogue waves

Ioannis Kourakis*, Michael Mc Kerr, Ata Ur-Rahman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

A fluid model is used to describe the propagation of envelope structures in an ion plasma under the influence of the action of weakly relativistic electrons and positrons. A multiscale perturbative method is used to derive a nonlinear Schrödinger equation for the envelope amplitude. Criteria for modulational instability, which occurs for small values of the carrier wavenumber (long carrier wavelengths), are derived. The occurrence of rogue waves is briefly discussed.

Original languageEnglish
Pages (from-to)1089-1094
Number of pages6
JournalJournal of plasma physics
Volume79
Issue number6
DOIs
Publication statusPublished - Dec 2013

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