Superluminal electromagnetic solitary waves in electron-positron plasmas

Vikrant Saxena, Ioannis Kourakis

Research output: Contribution to journalArticle

4 Citations (Scopus)


The propagation of an electromagnetic wave packet in an electron-positron plasma, in the form of coupled localized electromagnetic excitations, is investigated, from first principles. By means of the Poincare section method, a special class of superluminal localized nonlinear stationary solutions, existing along a separatrix curve, are proposed as intrinsic electromagnetic modes in a relativistic electron-positron plasma. The ratio of the envelope time scale to the carrier wave time scale of these envelope solitary waves critically depends on the carrier's phase velocity. In the strongly superluminal regime, v(ph)/c >> 1, the large difference between the envelope and carrier time scales enables us to carry out a multiscale perturbative analysis resulting in an analytical form of the solution envelope. The analytical prediction thus obtained is shown to be in agreement with the solution obtained via a direct numerical integration. Copyright (c) EPLA, 2012

Original languageEnglish
Article number15002
Pages (from-to)-
Number of pages6
JournalEurophysics Letters (EPL)
Issue number1
Publication statusPublished - Oct 2012

Cite this