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

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

doi:10.1063/1.3050066

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

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

Physics

Research output: Contribution to journal › Article › peer-review

18 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.

Original language	English
Pages (from-to)	122310-122310
Number of pages	0
Journal	Physics of Plasmas
Volume	15
Issue number	12
DOIs	https://doi.org/10.1063/1.3050066
Publication status	Published - Dec 2008

Keywords

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

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10.1063/1.3050066

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title = "Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves",

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 Schr{\"o}dinger 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.",

keywords = "modulational instability, plasma flow, plasma ion acoustic waves, plasma simulation, plasma solitons, Schrodinger, equation",

author = "R. Sabry and S.K. El-Labany and P.K. Shukla",

year = "2008",

month = dec,

doi = "10.1063/1.3050066",

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volume = "15",

pages = "122310--122310",

journal = "Physics of Plasmas",

issn = "1070-664X",

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T1 - Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves

AU - Sabry, R.

AU - El-Labany, S.K.

AU - Shukla, P.K.

PY - 2008/12

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

UR - http://dx.doi.org/10.1063/1.3050066

U2 - 10.1063/1.3050066

DO - 10.1063/1.3050066

M3 - Article

SN - 1070-664X

VL - 15

SP - 122310

EP - 122310

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 12

ER -

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

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Keywords

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