Modelling relativistic solitary wave interactions in over-dense plasmas: a perturbed nonlinear Schröndinger equation framework

Siminos, Evangelos and Sánchez Arriaga, Gonzalo and Saxena, Vikrant and Kourakis, Ioannis (2014). Modelling relativistic solitary wave interactions in over-dense plasmas: a perturbed nonlinear Schröndinger equation framework. "Physical Review E", v. 90 (n. 6); pp.. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.90.063104.

Description

Title: Modelling relativistic solitary wave interactions in over-dense plasmas: a perturbed nonlinear Schröndinger equation framework
Author/s:
  • Siminos, Evangelos
  • Sánchez Arriaga, Gonzalo
  • Saxena, Vikrant
  • Kourakis, Ioannis
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: 2014
ISSN: 1539-3755
Volume: 90
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Física Aplicada a las Ingenierías Aeronáutica y Naval
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We investigate the dynamics of localized solutions of the relativistic cold-fluid plasma model in the small but finite amplitude limit, for slightly overcritical plasma density. Adopting a multiple scale analysis, we derive a perturbed nonlinear Schrödinger equation that describes the evolution of the envelope of circularly polarized electromagnetic field. Retaining terms up to fifth order in the small perturbation parameter, we derive a self-consistent framework for the description of the plasma response in the presence of localized electromagnetic field. The formalism is applied to standing electromagnetic soliton interactions and the results are validated by simulations of the full cold-fluid model. To lowest order, a cubic nonlinear Schrödinger equation with a focusing nonlinearity is recovered. Classical quasiparticle theory is used to obtain analytical estimates for the collision time and minimum distance of approach between solitons. For larger soliton amplitudes the inclusion of the fifth-order terms is essential for a qualitatively correct description of soliton interactions. The defocusing quintic nonlinearity leads to inelastic soliton collisions, while bound states of solitons do not persist under perturbations in the initial phase or amplitude

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainENE2011-28489UnspecifiedUnspecifiedUnspecified

More information

Item ID: 35573
DC Identifier: http://oa.upm.es/35573/
OAI Identifier: oai:oa.upm.es:35573
DOI: 10.1103/PhysRevE.90.063104
Official URL: http://journals.aps.org/pre/issues/90/6
Deposited by: Memoria Investigacion
Deposited on: 19 Oct 2015 07:18
Last Modified: 16 May 2019 11:02
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