Dust-acoustic solitary and shock waves in a strongly coupled liquid state dusty plasma with a vortex-like ion distribution

A.A. Mamun, B. Eliasson, P.K. Shukla

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

It is shown that the nonlinear propagation of dust-acoustic waves in a strongly coupled dusty plasma is governed by a modified Korteweg–de-Vries–Burgers (KdV–Burgers) equation. The latter is derived from a set of generalized hydrodynamic equations for strongly correlated dust grains in a liquid-like state, a Boltzmann electron distribution, and a non-isothermal vortex-like ion distribution. The numerical solutions of the modified KdV–Burgers equation are presented in order to provide some salient features of dust-acoustic solitary and shock structures that may exist in laboratory dusty plasmas where the dust grains are in a strongly coupled liquid phase.
LanguageEnglish
Pages412–416
Number of pages5
JournalPhysics Letters A
Volume332
Issue number5-6
Early online date20 Oct 2004
DOIs
Publication statusPublished - 22 Nov 2004

Fingerprint

ion distribution
dusty plasmas
shock waves
solitary waves
dust
vortices
Burger equation
acoustics
liquids
strongly coupled plasmas
hydrodynamic equations
electron distribution
liquid phases
shock
propagation

Keywords

  • dusty acoustic waves
  • solitary waves

Cite this

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abstract = "It is shown that the nonlinear propagation of dust-acoustic waves in a strongly coupled dusty plasma is governed by a modified Korteweg–de-Vries–Burgers (KdV–Burgers) equation. The latter is derived from a set of generalized hydrodynamic equations for strongly correlated dust grains in a liquid-like state, a Boltzmann electron distribution, and a non-isothermal vortex-like ion distribution. The numerical solutions of the modified KdV–Burgers equation are presented in order to provide some salient features of dust-acoustic solitary and shock structures that may exist in laboratory dusty plasmas where the dust grains are in a strongly coupled liquid phase.",
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Dust-acoustic solitary and shock waves in a strongly coupled liquid state dusty plasma with a vortex-like ion distribution. / Mamun, A.A.; Eliasson, B.; Shukla, P.K.

In: Physics Letters A, Vol. 332, No. 5-6, 22.11.2004, p. 412–416.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Dust-acoustic solitary and shock waves in a strongly coupled liquid state dusty plasma with a vortex-like ion distribution

AU - Mamun, A.A.

AU - Eliasson, B.

AU - Shukla, P.K.

PY - 2004/11/22

Y1 - 2004/11/22

N2 - It is shown that the nonlinear propagation of dust-acoustic waves in a strongly coupled dusty plasma is governed by a modified Korteweg–de-Vries–Burgers (KdV–Burgers) equation. The latter is derived from a set of generalized hydrodynamic equations for strongly correlated dust grains in a liquid-like state, a Boltzmann electron distribution, and a non-isothermal vortex-like ion distribution. The numerical solutions of the modified KdV–Burgers equation are presented in order to provide some salient features of dust-acoustic solitary and shock structures that may exist in laboratory dusty plasmas where the dust grains are in a strongly coupled liquid phase.

AB - It is shown that the nonlinear propagation of dust-acoustic waves in a strongly coupled dusty plasma is governed by a modified Korteweg–de-Vries–Burgers (KdV–Burgers) equation. The latter is derived from a set of generalized hydrodynamic equations for strongly correlated dust grains in a liquid-like state, a Boltzmann electron distribution, and a non-isothermal vortex-like ion distribution. The numerical solutions of the modified KdV–Burgers equation are presented in order to provide some salient features of dust-acoustic solitary and shock structures that may exist in laboratory dusty plasmas where the dust grains are in a strongly coupled liquid phase.

KW - dusty acoustic waves

KW - solitary waves

UR - http://www.sciencedirect.com/science/article/pii/S037596010401388X

U2 - 10.1016/j.physleta.2004.10.012

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EP - 416

JO - Physics Letters A

T2 - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 5-6

ER -