Nonlinear Modulated Envelope Electrostatic Wavepacket Propagation in Plasmas

Ioannis Kourakis

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)


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 Schrödinger 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 of modulational instability to 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 as dusty (complex) plasma modes is briefly discussed. © 2004 American Institute of Physics
Original languageEnglish
Title of host publicationThe Physics of Ionized Gases
Subtitle of host publication22nd Summer School and International Symposium on the Physics of Ionized Gases - Invited Lectures, Topical Invited Lectures, and Progress Reports (Eds. L. Hadzievski, T. Grozdanov and N. Bibic), National Park Kopaonik, Serbia, 28 August - 1 September 2006
PublisherAmerican Institute of Physics, Melville, New York
Number of pages13
ISBN (Print)0-7354-0224-8
Publication statusPublished - 2004
Event22nd Summer School and International Symposium on the Physics of Ionized Gases - Tara Natl Pk, Bajina Basta, Serbia
Duration: 01 Aug 200401 Aug 2004

Publication series

NameAIP Conference Proceedings


Conference22nd Summer School and International Symposium on the Physics of Ionized Gases
CityBajina Basta


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