Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision

doi:10.1088/1674-1056/24/3/035201

›› 2015, Vol. 24 ›› Issue (3): 35201-035201.doi: 10.1088/1674-1056/24/3/035201

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision

S. K. El-Labany^a, E. F. El-Shamy^{a b}, W. F. El-Taibany^{a c}, N. A. Zedan^a

a Department of Physics, Faculty of Science, Damietta University, New Damietta 34517, Egypt;
b Department of Physics, College of Science, King Khalid University, Abha 9004, Kingdom of Saudi Arabia;
c Department of Physics, College of Science for Girls in Abha, King Khalid University, Abha 960, Kingdom of Saudi Arabia

收稿日期:2014-06-23 修回日期:2014-09-03 出版日期:2015-03-05 发布日期:2015-03-05

Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision

S. K. El-Labany^a, E. F. El-Shamy^{a b}, W. F. El-Taibany^{a c}, N. A. Zedan^a

a Department of Physics, Faculty of Science, Damietta University, New Damietta 34517, Egypt;
b Department of Physics, College of Science, King Khalid University, Abha 9004, Kingdom of Saudi Arabia;
c Department of Physics, College of Science for Girls in Abha, King Khalid University, Abha 960, Kingdom of Saudi Arabia

Received:2014-06-23 Revised:2014-09-03 Online:2015-03-05 Published:2015-03-05
Contact: S. K. El-Labany, E. F. El-Shamy, W. F. El-Taibany, N. A. Zedan E-mail:skellabany@hotmail.com;emadel_shamy@hotmail.com;eltaibany@hotmail.com;nesreenplasma@yahoo.com

摘要/Abstract

摘要： Modeling of instability and collision of nonlinear dust-acoustic (NDA) envelope solitons in strongly coupled dusty plasmas (SCDPs) is theoretically investigated. The SCDPs consists of strongly correlated negatively variable-charged dust grains and weakly correlated Boltzmann electrons and ions. Using the derivative expansion perturbation technique, a nonlinear Schrödinger-type (NLST) equation for describing the propagation of NDA envelope solitons is derived. Moreover, the extended Poincaré-Lighthill-Kuo (EPLK) method is employed to deduce the analytical phase shifts and the trajectories after the collision of NDA envelope solitons. In detail, the results show that both modulation instability and phase shift after collision of NDA envelope solitons will modify with the increase in the effects of the viscosity, the relaxation time, and the dust charge fluctuation. Crucially, the modeling of dust-acoustic envelope solitons collision, as reported here, is helpful for understanding the propagation of NDA envelope solitons in strongly coupled dusty plasmas.

关键词: dust acoustic wave envelopes, modulational instability, head-on collision, polarization effects

Abstract: Modeling of instability and collision of nonlinear dust-acoustic (NDA) envelope solitons in strongly coupled dusty plasmas (SCDPs) is theoretically investigated. The SCDPs consists of strongly correlated negatively variable-charged dust grains and weakly correlated Boltzmann electrons and ions. Using the derivative expansion perturbation technique, a nonlinear Schrödinger-type (NLST) equation for describing the propagation of NDA envelope solitons is derived. Moreover, the extended Poincaré-Lighthill-Kuo (EPLK) method is employed to deduce the analytical phase shifts and the trajectories after the collision of NDA envelope solitons. In detail, the results show that both modulation instability and phase shift after collision of NDA envelope solitons will modify with the increase in the effects of the viscosity, the relaxation time, and the dust charge fluctuation. Crucially, the modeling of dust-acoustic envelope solitons collision, as reported here, is helpful for understanding the propagation of NDA envelope solitons in strongly coupled dusty plasmas.

Key words: dust acoustic wave envelopes, modulational instability, head-on collision, polarization effects

中图分类号: (Strongly-coupled plasmas)

52.27.Gr

52.27.Lw (Dusty or complex plasmas; plasma crystals) 52.25.Vy (Impurities in plasmas) 52.35.Fp (Electrostatic waves and oscillations (e.g., ion-acoustic waves))

S. K. El-Labany, E. F. El-Shamy, W. F. El-Taibany, N. A. Zedan. Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision[J]. , 2015, 24(3): 35201-035201.

S. K. El-Labany, E. F. El-Shamy, W. F. El-Taibany, N. A. Zedan. Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision[J]. Chin. Phys. B, 2015, 24(3): 35201-035201.

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Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision

Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision

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