Effect of higher-order corrections on the propagation of nonlinear dust-acoustic solitary waves in mesospheric dusty plasmas

Sayed A. Elwakil; Mohamed T. Attia; Mohsen A. Zahran; Emad K. El-Shewy; Hesham G. Abdelwahed

doi:10.1515/zna-2006-7-802

Effect of higher-order corrections on the propagation of nonlinear dust-acoustic solitary waves in mesospheric dusty plasmas

Sayed A. Elwakil
, Mohamed T. Attia
, Mohsen A. Zahran
, Emad K. El-Shewy
, Hesham G. Abdelwahed

Mansoura University

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

16 Scopus citations

Abstract

The contribution of the higher-order correction to nonlinear dust-acoustic waves are studied using the reductive perturbation method in an unmagnetized collisionless mesospheric dusty plasma. A Korteweg-de Vries (KdV) equation that contains the lowest-order nonlinearity and dispersion is derived from the lowest order of perturbation, and a linear inhomogeneous (KdV-type) equation that accounts for the higher-order nonlinearity and dispersion is obtained. A stationary solution is achived via renormalization method.

Original language	English
Pages (from-to)	316-322
Number of pages	7
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	61
Issue number	7-8
DOIs	https://doi.org/10.1515/zna-2006-7-802
State	Published - 2006
Externally published	Yes

Keywords

Dust-Acoustic Waves
Higher-Order Correction
Mesospheric Dusty Plasma
Renormalization Method
Solitary Solution

Access to Document

10.1515/zna-2006-7-802

Cite this

@article{e5f2d8d7af5043658a1feff28332bdbd,

title = "Effect of higher-order corrections on the propagation of nonlinear dust-acoustic solitary waves in mesospheric dusty plasmas",

abstract = "The contribution of the higher-order correction to nonlinear dust-acoustic waves are studied using the reductive perturbation method in an unmagnetized collisionless mesospheric dusty plasma. A Korteweg-de Vries (KdV) equation that contains the lowest-order nonlinearity and dispersion is derived from the lowest order of perturbation, and a linear inhomogeneous (KdV-type) equation that accounts for the higher-order nonlinearity and dispersion is obtained. A stationary solution is achived via renormalization method.",

keywords = "Dust-Acoustic Waves, Higher-Order Correction, Mesospheric Dusty Plasma, Renormalization Method, Solitary Solution",

author = "Elwakil, \{Sayed A.\} and Attia, \{Mohamed T.\} and Zahran, \{Mohsen A.\} and El-Shewy, \{Emad K.\} and Abdelwahed, \{Hesham G.\}",

year = "2006",

doi = "10.1515/zna-2006-7-802",

language = "English",

volume = "61",

pages = "316--322",

journal = "Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences",

issn = "0932-0784",

publisher = "Walter de Gruyter GmbH",

number = "7-8",

}

Effect of higher-order corrections on the propagation of nonlinear dust-acoustic solitary waves in mesospheric dusty plasmas. / Elwakil, Sayed A.; Attia, Mohamed T.; Zahran, Mohsen A. et al.
In: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, Vol. 61, No. 7-8, 2006, p. 316-322.

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

TY - JOUR

T1 - Effect of higher-order corrections on the propagation of nonlinear dust-acoustic solitary waves in mesospheric dusty plasmas

AU - Elwakil, Sayed A.

AU - Attia, Mohamed T.

AU - Zahran, Mohsen A.

AU - El-Shewy, Emad K.

AU - Abdelwahed, Hesham G.

PY - 2006

Y1 - 2006

N2 - The contribution of the higher-order correction to nonlinear dust-acoustic waves are studied using the reductive perturbation method in an unmagnetized collisionless mesospheric dusty plasma. A Korteweg-de Vries (KdV) equation that contains the lowest-order nonlinearity and dispersion is derived from the lowest order of perturbation, and a linear inhomogeneous (KdV-type) equation that accounts for the higher-order nonlinearity and dispersion is obtained. A stationary solution is achived via renormalization method.

AB - The contribution of the higher-order correction to nonlinear dust-acoustic waves are studied using the reductive perturbation method in an unmagnetized collisionless mesospheric dusty plasma. A Korteweg-de Vries (KdV) equation that contains the lowest-order nonlinearity and dispersion is derived from the lowest order of perturbation, and a linear inhomogeneous (KdV-type) equation that accounts for the higher-order nonlinearity and dispersion is obtained. A stationary solution is achived via renormalization method.

KW - Dust-Acoustic Waves

KW - Higher-Order Correction

KW - Mesospheric Dusty Plasma

KW - Renormalization Method

KW - Solitary Solution

UR - https://www.scopus.com/pages/publications/33748548674

U2 - 10.1515/zna-2006-7-802

DO - 10.1515/zna-2006-7-802

M3 - Article

AN - SCOPUS:33748548674

SN - 0932-0784

VL - 61

SP - 316

EP - 322

JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

IS - 7-8

ER -

Effect of higher-order corrections on the propagation of nonlinear dust-acoustic solitary waves in mesospheric dusty plasmas

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Keywords

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