Abstract
Effect of dust electrical charge fluctuations on the nature of dust acoustic solitary waves (DASWs) in a four-species magnetized dusty plasma containing nonextensive electrons and two-temperature isothermal ions has been investigated. In this model, the negative dust electric charge is considered to be proportional to the plasma space potential. The nonlinear Zakharov–Kuznetsov (ZK) and modified Zakharov–Kuznetsov (mZK) equations are derived for DASWs by using the standard reductive perturbation method. The combined effects of electron nonextensivity and dust charge fluctuations on the DASW profile are analyzed. The different ranges of the nonextensive q-parameter are considered. The results show that solitary waves the amplitude and width of which depend sensitively on the nonextensive q-parameter can exist. Due to the electron nonextensivity and dust charge fluctuation rate, our dusty plasma model can admit both positive and negative potential solitons. The results show that the amplitude of the soliton increases with increasing electron nonextensivity, but its width decreases. Increasing the electrical charge fluctuations leads to a decrease in both the amplitude and width of DASWs.
Similar content being viewed by others
References
P. K. Shukla and A. A. Mamun, Introduction to Dusty Plasma Physics (IOP, London, 2002).
F. Verheest, Waves in Dusty Space Plasmas (Kluwer, Dordrecht, 2000).
Y. N. Nejoh, Phys. Plasmas 4, 2813 (1997).
E. C. Whipple, T. G. Northrop, and D. A. Mendis, Geophys. Res. Lett. 90, 7405 (1985).
C. K. Goertz, Rev. Geophys. 27, 271 (1989).
S. I. Popel, S. N. Andreev, A. A. Gisko, A. P. Golub’, and T. V. Losseva, Plasma Phys. Rep. 30, 284 (2004).
T. V. Losseva, S. I. Popel, and A. P. Golub’, Plasma Phys. Rep. 38, 729 (2012).
S. Gh. Dezfully and D. Dorranian, Contrib. Plasma Phys. 53, 564 (2013).
D. Dorranian and A. Sabetkar, Phys. Plasmas 19, 013702 (2012).
A. Sabetkar and D. Dorranian, J. Plasma Phys. 80, 565 (2014).
M. M. Lin and W. S. Duan, Chaos Solitons Fractals 33, 1189 (2007).
S. I. Popel, M. Y. Yu, and V. N. Tsytovich, Phys. Plasmas 3, 4313 (1996).
S. I. Popel, A. P. Golub’, T. V. Losseva, A. V. Ivlev, S. A. Khrapak, and G. Morfill, Phys. Rev. E 67, 056402 (2003).
B. Sahu, Astrophys. Space Sci. 338, 251 (2012).
A. Renyi, Acta Math. Hung. 6, 285 (1955).
A. S. Bains, M. Tribeche, N. S. Saini, and T. S. Gill, Phys. Plasmas 18, 104503 (2011).
M. Tribeche and A. Merriche, Phys. Plasmas 18, 034502 (2011).
S. Abe, S. Martinez, F. Pennini, and A. Plastino, Phys. Lett. A 281, 126 (2001).
R. Amour and M. Tribeche, Phys. Plasmas 17, 063702 (2010).
P. Eslami, M. Mottaghizadeh, and H. R. Pakzad, Phys. Plasmas 18, 072305 (2011).
H. Washimi and T. Taniuti, Phys. Rev. Lett. 17, 996 (1996).
T. S. Gill, N. S. Saini, and H. Kaur, Chaos Solitons Fractals 28, 1106 (2006).
M. G. M. Anowar and A. A. Mamun, IEEE Trans. Plasma Sci. 37, 1638 (2009).
R. L. Mace and M. A. Hellberg, Phys. Plasmas 8, 2649 (2001).
A. S. Bains, M. Tribeche, and C. S. Ng, Astrophys. Space Sci. 343, 621 (2013).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Araghi, F., Dorranian, D. Effect of dust charge fluctuations on dust acoustic structures in magnetized dusty plasma containing nonextensive electrons and two-temperature isothermal ions. Plasma Phys. Rep. 42, 155–162 (2016). https://doi.org/10.1134/S1063780X1602001X
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X1602001X