Electromagnetic envelope solitary waves with transverse perturbation in a plasma

The system of fluid-Maxwell equations governing the two-dimensional dynamics of electromagnetic waves in a plasma is analyzed by means of multiple scale perturbation method. It is shown that the evolution of the amplitude of wave field is governed by a two-dimensional nonlinear Schrödinger equation....

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Bibliographic Details
Published in:Physics of plasmas 2013-04, Vol.20 (4)
Main Author: Borhanian, J.
Format: Article
Language:English
Subjects:
AMPLITUDES
APPROXIMATIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ELECTROMAGNETIC RADIATION
MAXWELL EQUATIONS
NONLINEAR PROBLEMS
PERIODICITY
PERTURBATION THEORY
PLASMA DENSITY
PLASMA INSTABILITY
SCHROEDINGER EQUATION
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
WAVE PROPAGATION
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Summary:The system of fluid-Maxwell equations governing the two-dimensional dynamics of electromagnetic waves in a plasma is analyzed by means of multiple scale perturbation method. It is shown that the evolution of the amplitude of wave field is governed by a two-dimensional nonlinear Schrödinger equation. The stability of bright envelope solitons is studied using the variational method. It is found that the development of transverse periodic perturbations on bright solitons is faster for a plasma with near critical density. Dynamics of electromagnetic bright solitons is investigated in the long-wave approximation. Our model predicts the appearance of collapse of electromagnetic waves in plasmas and describes the collapse dynamics at initial stages.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4802027