Abstract
The nonlinear wave modulation of planar and non-planar (cylindrical and spherical) dust-acoustic waves (DAW) propagating in dusty plasmas, in the presence of non-extensive distributions for ions and electrons is investigated. By employing multiple scales technique, a cylindrically and spherically modified nonlinear Schrödinger equation (NLSE) is derived. The presence of hot non-extensive q-distributed ions and electron is shown to influence the modulational instability (MI) of the waves. It is shown that the properties of the MI of DAW in cylindrical and spherical geometry differ from those in a planar one-dimensional geometry. Furthermore, it is observed that the non-extensive distributed ions have more effect on the MI of the DAW than electrons. Also, it is found that there is a MI period for cylindrical and spherical wave modulations, which does not exist in the one-dimensional case.
Similar content being viewed by others
References
C Tsallis, J. Stat. Phys. 52, 479 (1988)
N N Rao, P K Shukla and M Y Yu, Planet. Space Sci. 38, 543 (1990)
A A Mamun and P K Shukla, Phys. Lett. A 290, 173 (2001)
A A Mamun and P K Shukla, Phys. Plasmas 9, 1468 (2002)
J K Xue and L He, Phys. Plasmas 10, 339 (2003)
J K Xue, Phys. Plasmas 10, 3430 (2003)
J Du, Phys. Lett. A 329, 262 (2004)
B Das and P Chatterjee, Phys. Plasmas 13, 062106 (2006)
M V Goldman, D L Newman and A Mangeney, Phys. Rev. Lett. 99, 145002 (2007)
Liyan and J Du, Physica A 387, 4821 (2008)
N S Saini and I Kourakis, Phys. Plasmas 15, 123701 (2008)
Z Liu, L Liu and J Du, Phys. Plasmas 16, 072111 (2009)
Z Liu and J Du, Phys. Plasmas 16, 123707 (2009)
M Tribeche, L Djebarni and R Amour, Phys. Plasmas 17, 042114 (2010)
R Amour and M Tribeche, Phys. Plasmas 17, 063702 (2010)
L A Gougam and M Tribeche, Astrophys. Space Sci. 331, 181 (2011)
A S Bains, M Tribeche and T S Gill, Phys. Lett. A 375, 2059 (2011)
H R Pakzad and M Tribeche, Astrophys. Space Sci. 334, 45 (2011)
M Tribeche and A Merriche, Phys. Plasmas 18, 034502 (2011)
P Eslami, M Mottaghizadeh and H R Pakzad, Phys. Plasmas 18, 102303 (2011)
B Sahu and M Tribeche, Astrophys. Space Sci. 338, 259 (2012)
A S Bains, M Tribeche and C S Ng, Astrophys. Space Sci. 3431, 621 (2013)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
EGHBALI, M., FAROKHI, B. Cylindrical and spherical dust-acoustic wave modulations in dusty plasmas with non-extensive distributions. Pramana - J Phys 84, 637–651 (2015). https://doi.org/10.1007/s12043-014-0866-7
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12043-014-0866-7