Higher Corrections to Nonlinear Structures in a Polarized Space Dusty Plasma

R. Kaur; G. Slathia; M. Kaur; N. S. Saini

doi:10.1134/S1063780X22600992

Higher Corrections to Nonlinear Structures in a Polarized Space Dusty Plasma

R. Kaur
, G. Slathia
, M. Kaur
, N. S. Saini

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

3 Scopus citations

Abstract

Abstract: A dusty plasma consisting of ions following the Cairns–Tsallis (C–T) distribution, Boltzmann electrons, and negatively charged dust as a fluid is considered in the presence of a polarization force to investigate higher order dust acoustic (DA) nonlinear structures. Using the reductive perturbation technique, the Burgers and higher order Burgers equations are derived and the Tanh method is applied to determine the solutions of the Burgers equations. Based on the solutions to these nonlinear equations, the influence of various parameters on the features of the dust acoustic shocks and dressed shocks has been studied. The dynamics of DA shocks with the contribution of higher order corrections has been analysed to see the formation of dressed shocks.

Original language	English
Pages (from-to)	148-156
Number of pages	9
Journal	Plasma Physics Reports
Volume	49
Issue number	1
DOIs	https://doi.org/10.1134/S1063780X22600992
State	Published - Jan 2023
Externally published	Yes

Funding

Authors gratefully acknowledge the support for this research work from Department of Science and Technology, Govt. of India, New Delhi under DST-SERB project no. CRG/2019/003988.

Keywords

Burgers equation
Cairns–Tsallis distribution
dressed shocks
dust acoustic
polarization force

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10.1134/S1063780X22600992

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title = "Higher Corrections to Nonlinear Structures in a Polarized Space Dusty Plasma",

abstract = "Abstract: A dusty plasma consisting of ions following the Cairns–Tsallis (C–T) distribution, Boltzmann electrons, and negatively charged dust as a fluid is considered in the presence of a polarization force to investigate higher order dust acoustic (DA) nonlinear structures. Using the reductive perturbation technique, the Burgers and higher order Burgers equations are derived and the Tanh method is applied to determine the solutions of the Burgers equations. Based on the solutions to these nonlinear equations, the influence of various parameters on the features of the dust acoustic shocks and dressed shocks has been studied. The dynamics of DA shocks with the contribution of higher order corrections has been analysed to see the formation of dressed shocks.",

keywords = "Burgers equation, Cairns–Tsallis distribution, dressed shocks, dust acoustic, polarization force",

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doi = "10.1134/S1063780X22600992",

language = "English",

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T1 - Higher Corrections to Nonlinear Structures in a Polarized Space Dusty Plasma

AU - Kaur, R.

AU - Slathia, G.

AU - Kaur, M.

AU - Saini, N. S.

PY - 2023/1

Y1 - 2023/1

N2 - Abstract: A dusty plasma consisting of ions following the Cairns–Tsallis (C–T) distribution, Boltzmann electrons, and negatively charged dust as a fluid is considered in the presence of a polarization force to investigate higher order dust acoustic (DA) nonlinear structures. Using the reductive perturbation technique, the Burgers and higher order Burgers equations are derived and the Tanh method is applied to determine the solutions of the Burgers equations. Based on the solutions to these nonlinear equations, the influence of various parameters on the features of the dust acoustic shocks and dressed shocks has been studied. The dynamics of DA shocks with the contribution of higher order corrections has been analysed to see the formation of dressed shocks.

AB - Abstract: A dusty plasma consisting of ions following the Cairns–Tsallis (C–T) distribution, Boltzmann electrons, and negatively charged dust as a fluid is considered in the presence of a polarization force to investigate higher order dust acoustic (DA) nonlinear structures. Using the reductive perturbation technique, the Burgers and higher order Burgers equations are derived and the Tanh method is applied to determine the solutions of the Burgers equations. Based on the solutions to these nonlinear equations, the influence of various parameters on the features of the dust acoustic shocks and dressed shocks has been studied. The dynamics of DA shocks with the contribution of higher order corrections has been analysed to see the formation of dressed shocks.

KW - Burgers equation

KW - Cairns–Tsallis distribution

KW - dressed shocks

KW - dust acoustic

KW - polarization force

UR - https://www.scopus.com/pages/publications/85151357865

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DO - 10.1134/S1063780X22600992

M3 - Article

AN - SCOPUS:85151357865

SN - 1063-780X

VL - 49

SP - 148

EP - 156

JO - Plasma Physics Reports

JF - Plasma Physics Reports

IS - 1

ER -

Higher Corrections to Nonlinear Structures in a Polarized Space Dusty Plasma

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