Of electrostatic envelope modes and freak wave modeling in plasmas: Revisiting a widespread fallacy

Ioannis Kourakis, Omar Bouzit, Ibrahem S. Elkamash

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Recent theoretical considerations link the nonlinear Schor dinger equation (NLSE) to localized envelope forms, known as breathers, which have been proposed as prototypes for extreme-amplitude excitations (freak waves, rogue waves) in various areas, including modulated-amplitude wavepackets in plasmas. The analytical methodology for the derivation of the NLSE is briefly reviewed, and its physical implications are discussed. A widespread “shortcut” methodology, relating it to small-amplitude theories for solitary waves, is shown to be inherently flawed, as regards its application in fluid plasma theory (notwithstanding the potential value of the method in other areas, e.g. in hydrodynamics).

Original languageBritish English
Title of host publication44th EPS Conference on Plasma Physics, EPS 2017
EditorsA. Bret, M. Fajardo, E. Westerhof, A. Melzer, B. Dromey, C. Riconda
StatePublished - 2017
Event44th European Physical Society Conference on Plasma Physics, EPS 2017 - Belfast, United Kingdom
Duration: 26 Jun 201730 Jun 2017

Publication series

Name44th EPS Conference on Plasma Physics, EPS 2017

Conference

Conference44th European Physical Society Conference on Plasma Physics, EPS 2017
Country/TerritoryUnited Kingdom
CityBelfast
Period26/06/1730/06/17

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