Dissipative electromagnetic solitary waves in collisional plasmas

The propagation of linearly polarized electromagnetic (EM) waves in a collisional plasma is studied using multiple scale perturbation technique in a weakly nonlinear regime. A complex linear dispersion relation and a complex group velocity are obtained for EM waves propagating in a plasma and their...

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Bibliographic Details
Published in:Physics of plasmas 2012-08, Vol.19 (8)
Main Author: Borhanian, Jafar
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AMPLITUDES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COLLISIONAL PLASMA
Collisional plasmas
DISPERSION RELATIONS
ELECTROMAGNETIC PULSES
Envelopes
GINZBURG-LANDAU THEORY
Mathematical analysis
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
Monitoring
NONLINEAR PROBLEMS
PERTURBATION THEORY
Plasmas
Solitary waves
SOLITONS
VELOCITY
Wave propagation
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Summary:The propagation of linearly polarized electromagnetic (EM) waves in a collisional plasma is studied using multiple scale perturbation technique in a weakly nonlinear regime. A complex linear dispersion relation and a complex group velocity are obtained for EM waves propagating in a plasma and their dependence on system parameters is investigated. It is shown that the amplitude of EM pulse is governed by an envelope equation similar to a cubic complex Ginzburg-Landau equation. A traveling bright solitary wave solution for envelope equation is found, its existence condition in parameter space is explored and variation of its profile with system parameters is manipulated. Monitoring temporal evolution of traveling solitary wave solution provides more insight into the nature of this solution and ensures that depending on the parameters of the system, solitary wave solution may behave like a stationary soliton or may exhibit the behavior of a breathing soliton.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4743025