TY - JOUR

T1 - Self-modulation of nonlinear waves in a weakly magnetized relativistic electron-positron plasma with temperature

AU - Asenjo, Felipe A.

AU - Borotto, Felix A.

AU - Chian, Abraham C.L.

AU - Muñoz, Víctor

AU - Valdivia, J. Alejandro

AU - Rempel, Erico L.

PY - 2012/4/5

Y1 - 2012/4/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84859533004&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.85.046406

DO - 10.1103/PhysRevE.85.046406

M3 - Article

AN - SCOPUS:84859533004

VL - 85

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 4

M1 - 046406

ER -