Nonlinear Modulated Envelope Electrostatic Wavepacket Propagation in Space and Laboratory Plasmas
作者:
Ioannis Kourakis,
Padma Kant Shukla,
期刊:
AIP Conference Proceedings
(AIP Available online 1904)
卷期:
Volume 740,
issue 1
页码: 484-496
ISSN:0094-243X
年代: 1904
DOI:10.1063/1.1843529
出版商: AIP
数据来源: AIP
摘要:
A brief review of the occurrence of amplitude modulated structures in space and laboratory plasmas is provided, followed by a theoretical analysis of the mechanism of carrier wave (self‐) interaction, with respect to electrostatic plasma modes. A generic collisionless unmagnetized fluid model is employed. Both cold‐(zero‐temperature) and warm‐(finite temperature) fluid descriptions are considered and compared. The weakly nonlinear oscillation regime is investigated by applying a multiple scale (reductive perturbation) technique and a Nonlinear Schro¨dinger Equation (NLSE) is obtained, describing the evolution of the slowly varying wave amplitude in time and space. The amplitude’s stability profile reveals the possibility ofmodulational instabilityto occur under the influence of external perturbations. The NLSE admits exact localized envelope (solitary wave) solutions of bright (pulses) or dark (holes, voids) type, whose characteristics depend on intrinsic plasma parameters. The role of perturbation obliqueness (with respect to the propagation direction), finite temperature and — possibly — defect (dust) concentration is explicitly considered. The relevance of this description with respect to known electron‐ion (e‐i) as well asdusty(complex) plasma modes is briefly discussed. © 2004 American Institute of Physics
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