Damping models in the truncated derivative nonlinear Schrödinger equation

Sánchez Arriaga, Gonzalo and Sanmartín Losada, Juan Ramón and Elaskar, Sergio (2007). Damping models in the truncated derivative nonlinear Schrödinger equation. "Physics of Plasmas", v. 14 ; p. 82108. ISSN 1070-664X. https://doi.org/10.1063/1.2768513 .

Description

Title: Damping models in the truncated derivative nonlinear Schrödinger equation
Author/s:
  • Sánchez Arriaga, Gonzalo
  • Sanmartín Losada, Juan Ramón
  • Elaskar, Sergio
Item Type: Article
Título de Revista/Publicación: Physics of Plasmas
Date: 2007
ISSN: 1070-664X
Volume: 14
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Física Aplicada a la Ingeniería Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Four-dimensional flow in the phase space of three amplitudes of circularly polarized Alfven waves and one relative phase, resulting from a resonant three-wave truncation of the derivative nonlinear Schrödinger equation, has been analyzed; wave 1 is linearly unstable with growth rate , and waves 2 and 3 are stable with damping 2 and 3, respectively. The dependence of gross dynamical features on the damping model as characterized by the relation between damping and wave-vector ratios, 2 /3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau k and resistive k2, are studied in depth. Very complex dynamics, such as multiple blue sky catastrophes and chaotic attractors arising from Feigenbaum sequences, and explosive bifurcations involving Intermittency-I chaos, are shown to be associated with the existence and loss of stability of certain fixed point P of the flow. Independently of the damping model, P may only exist as against flow contraction just requiring.In the case of right-hand RH polarization, point P may exist for all models other than Landau damping; for the resistive model, P may exist for RH polarization only if 2+3/2.

More information

Item ID: 21662
DC Identifier: http://oa.upm.es/21662/
OAI Identifier: oai:oa.upm.es:21662
DOI: 10.1063/1.2768513 
Official URL: http://scitation.aip.org/content/aip/journal/pop/14/8/10.1063/1.2768513
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 21 Nov 2013 09:07
Last Modified: 01 Dec 2016 13:22
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