Self-modulation of nonlinear waves in a weakly magnetized relativistic electron-positron plasma with temperature

Felipe A. Asenjo, Felix A. Borotto, Abraham C.L. Chian, Víctor Muñoz, J. Alejandro Valdivia, Erico L. Rempel

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

We develop a nonlinear theory for self-modulation of a circularly polarized electromagnetic wave in a relativistic hot weakly magnetized electron-positron plasma. The case of parallel propagation along an ambient magnetic field is considered. A nonlinear Schrödinger equation is derived for the complex wave amplitude of a self-modulated wave packet. We show that the maximum growth rate of the modulational instability decreases as the temperature of the pair plasma increases. Depending on the initial conditions, the unstable wave envelope can evolve nonlinearly to either periodic wave trains or solitary waves. This theory has application to high-energy astrophysics and high-power laser physics.

Original languageEnglish
Article number046406
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume85
Issue number4
DOIs
StatePublished - 5 Apr 2012
Externally publishedYes

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