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Web End = Astrophys Space Sci (2016) 361:249 DOI 10.1007/s10509-016-2831-z
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http://crossmark.crossref.org/dialog/?doi=10.1007/s10509-016-2831-z&domain=pdf
Web End = Effect of ion viscosity on dust ion-acoustic shock waves in a nonextensive magnetoplasma
S.A. El-Tantawy1
Received: 20 December 2015 / Accepted: 19 June 2016 / Published online: 5 July 2016 Springer Science+Business Media Dordrecht 2016
Abstract The nonlinear features of dust ion-acoustic shock waves (DIASWs) in a magnetoplasma containing cold positive ions, nonextensive electrons, and immobile negatively charged dust grains taking into account the cold ion kinematic viscosity are investigated. The reductive perturbation technique is used to derive a Zakharov-Kuznetsov-Burgers (ZK-Burgers). It is found that the fundamental properties of the DIASWs are signicantly modied by the different system parameters such as the nonextensive parameter, the ion gyrofrequency, the dust concentration, the viscosity parameter, and the direction cosines. Also, the polarities (positive and negative shocks) of the potential are found to exist in the plasma under consideration. The implications of our results may be used in understanding the acoustic shock waves propagation in laboratory and space plasmas.
Keywords Dusty plasmas Shock waves
Magnetoplasma Nonextensive electrons
Zakharov-Kuznetsov-Burgers equation
1 Introduction
The nonlinear propagation of electrostatic waves in dusty plasmas which occurs in both space (Mendis and Rosenberg 1994; Shukla and Mamun 2002) and laboratory (Fortov et al. 2005; Merlino and Goree 2004) environments have received a considerable attention in the last few decades. A dusty plasma is a normal electron-ion plasma with an additional highly charged component of small micron or sub-micron
B S.A. El-Tantawy
mailto:[email protected]
Web End [email protected]
1 Department of Physics, Faculty of Science, Port Said University,Port Said 42521, Egypt
sized extremely massive charged particulates. Moreover, dusty plasmas support two modes of acoustic waves: high frequency dust ion-acoustic waves (DIAWs) involving mobile ions and static grains and a low frequency dust acoustic waves (DAWs) involving mobile dust grains. The two modes have been studied theoretically (Shukla and Silin 1992; Roy et al. 2014) and experimentally (Barkan et al. 1995; Merlino et al. 1998). In the DIAWs, the restoring force comes from the inertialess electrons, whereas the ion mass provides the inertia, and the phase speed of the DIAWs is much smaller (larger) than electron (ion) thermal speed....