Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves

R. Sabry, S.K. El-Labany, P.K. Shukla

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Cylindrical and spherical amplitude modulation of quantum ion-acoustic (QIA) envelope solitary waves in a dense quantum plasma comprised of electrons and ions is investigated. For this purpose, a one-dimensional quantum hydrodynamic model and the Poisson equation are considered. By using the standard reductive perturbation technique, a modified nonlinear Schrödinger equation with the geometrical and the quantum effects is derived. The effect of quantum corrections and the effect due to the cylindrical and spherical geometries on the propagation of the QIA envelope solitary waves are examined. It is shown that there exists a modulation instability period depending on the quantum parameter, which does not exist for the one-dimensional classical case.
LanguageEnglish
Pages122310-122310
Number of pages0
JournalPhysics of Plasmas
Volume15
Issue number12
DOIs
Publication statusPublished - Dec 2008

Fingerprint

solitary waves
modulation
acoustics
envelopes
ions
Poisson equation
nonlinear equations
hydrodynamics
perturbation
propagation
geometry
electrons

Keywords

  • modulational instability
  • plasma flow
  • plasma ion acoustic waves
  • plasma simulation
  • plasma solitons
  • Schrodinger
  • equation

Cite this

Sabry, R. ; El-Labany, S.K. ; Shukla, P.K. / Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves. In: Physics of Plasmas. 2008 ; Vol. 15, No. 12. pp. 122310-122310.
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Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves. / Sabry, R.; El-Labany, S.K.; Shukla, P.K.

In: Physics of Plasmas, Vol. 15, No. 12, 12.2008, p. 122310-122310.

Research output: Contribution to journalArticle

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AU - El-Labany, S.K.

AU - Shukla, P.K.

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Y1 - 2008/12

N2 - Cylindrical and spherical amplitude modulation of quantum ion-acoustic (QIA) envelope solitary waves in a dense quantum plasma comprised of electrons and ions is investigated. For this purpose, a one-dimensional quantum hydrodynamic model and the Poisson equation are considered. By using the standard reductive perturbation technique, a modified nonlinear Schrödinger equation with the geometrical and the quantum effects is derived. The effect of quantum corrections and the effect due to the cylindrical and spherical geometries on the propagation of the QIA envelope solitary waves are examined. It is shown that there exists a modulation instability period depending on the quantum parameter, which does not exist for the one-dimensional classical case.

AB - Cylindrical and spherical amplitude modulation of quantum ion-acoustic (QIA) envelope solitary waves in a dense quantum plasma comprised of electrons and ions is investigated. For this purpose, a one-dimensional quantum hydrodynamic model and the Poisson equation are considered. By using the standard reductive perturbation technique, a modified nonlinear Schrödinger equation with the geometrical and the quantum effects is derived. The effect of quantum corrections and the effect due to the cylindrical and spherical geometries on the propagation of the QIA envelope solitary waves are examined. It is shown that there exists a modulation instability period depending on the quantum parameter, which does not exist for the one-dimensional classical case.

KW - modulational instability

KW - plasma flow

KW - plasma ion acoustic waves

KW - plasma simulation

KW - plasma solitons

KW - Schrodinger

KW - equation

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