Abstract
A theoretical study of dust-acoustic (DA) shock waves has been carried out in an unmagnetized electron depleted dusty plasma containing inertial negatively charged dust grains and nonextensive positively charged ions. The normal mode analysis is used to examine the linear properties of DA waves. The reductive perturbation technique is employed in order to derive the nonlinear Burgers equation. The basic features (viz. polarity, amplitude, width, etc.) of the DA shock waves are investigated. Both polarity (positive and negative potential) shock waves are found to exists in the plasma under consideration in this manuscript. The findings of this investigation may be used in understanding the wave propagation in laboratory and space plasmas.
Similar content being viewed by others
References
Alinejad, H.: Astrophys. Space Sci. 345, 85 (2013)
Barkan, A.R., Merlino, L., D’Angelo, N.: Phys. Plasmas 2, 3563 (1995)
Barkan, A., D’Angelo, N., Merlino, R.L.: Planet. Space Sci. 44, 239 (1996)
Cousens, S.E., Yaroshenko, V.V., Sultana, S., Hellberg, M.A., Verheest, F., Kourakis, I.: Phys. Rev. E 89, 043103 (2014)
Ferdousi, M., Yasmin, S., Ashraf, S., Mamun, A.A.: Astrophys. Space Sci. 352, 579 (2014)
Ferdousi, M., Yasmin, S., Ashraf, S., Mamun, A.A.: Chin. Phys. Lett. 32, 015201 (2015)
Ferdousi, M., Mamun, A.A.: Braz. J. Phys. 45, 89 (2015)
Feron, C., Hjorth, J.: Phys. Rev. E 77, 022106 (2008)
Gervino, G., Lavagno, A., Pigato, D.: Cent. Eur. J. Phys. 10, 594 (2012)
Goertz, C.K.: Rev. Geophys. 27, 271 (1989)
Bharuthram, R., Hellberg, M.A., Shukla, P.K., Verheest, F.: Dusty Plasmas in the New Millennium. American Institute of Physics Press, Melville (2002)
Khaled, M.: Astrophys. Space Sci. 350, 607 (2014)
Nakamura, Y., Bailung, H., Shukla, P.K.: IEEE Trans. Plasma Sci. 20, 221 (2001)
Shukla, P.K., Mamun, A.A.: Phys. Rev. Lett. 83, 1602 (1999)
Lavagno, A., Pigato, D.: Eur. Phys. J. A 47, 52 (2011)
Lima, J.A.S., Silva, R., Santos, J.: Phys. Rev. E 61, 3260 (2000)
Mamun, A.A., Cairns, R.A., Shukla, P.K.: Phys. Plasmas 3, 702 (1996)
Melandso, F.: Phys. Plasmas 3, 3890 (1996)
Mendis, D.A., Rosenberg, M.: Annu. Rev. Astron. Astrophys. 32, 419 (1994)
Nakamura, Y.: Phys. Plasmas 9, 440 (2002)
Plastino, A.R., Plastino, A.: Phys. Lett. A 174, 384 (1993)
Rao, N.N., Shukla, P.K., Yu, M.Y.: Planet. Space Sci. 38, 543 (1990)
Rosenberg, M., Mendis, D.A.: IEEE Trans. Plasma Sci. 23, 177 (1995)
Rosenberg, M., Merlino, R.L.: Planet. Space Sci. 55, 1464 (2007)
Sahu, B., Tribeche, M.: Astrophys. Space Sci. 338, 259 (2012)
Shahmansouri, M., Tribeche, M.: Astrophys. Space Sci. 342, 87 (2012)
Shukla, P.K., Eliasson, B.: Rev. Mod. Phys. 81, 25 (2009)
Shukla, P.K., Silin, V.P.: Phys. Scr. 45, 508 (1992)
Shukla, P.K., Mamun, A.A.: Introduction to Dusty Plasma Physics. Institute of Physics, Bristol (2002)
Tribeche, M., Hamdi, R., Zerguini, T.H.: Phys. Plasmas 7, 4013 (2000)
Tribeche, M., Younsi, S., Zerguini, T.H.: Can. J. Phys. 86, 975 (2008)
Tribeche, M., Merriche, A.: Phys. Plasmas 18, 034502 (2011)
Tsallis, C.: J. Stat. Phys. 52, 479 (1988)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ferdousi, M., Miah, M.R., Sultana, S. et al. Dust-acoustic shock waves in an electron depleted nonextensive dusty plasma. Astrophys Space Sci 360, 43 (2015). https://doi.org/10.1007/s10509-015-2547-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-015-2547-5