Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-25T14:26:37.285Z Has data issue: false hasContentIssue false

Dust-acoustic supersolitons in a three-species dusty plasma with kappa distributions

Published online by Cambridge University Press:  08 January 2014

M. A. HELLBERG
Affiliation:
School of Chemistry & Physics, University of KwaZulu-Natal, Durban, South Africa (hellberg@ukzn.ac.za)
T. K. BALUKU
Affiliation:
Department of Mathematics & Physical Sciences, Pwani University, P. O. Box 195-80108, Kilifi, Kenya
F. VERHEEST
Affiliation:
School of Chemistry & Physics, University of KwaZulu-Natal, Durban, South Africa (hellberg@ukzn.ac.za) Sterrenkundig Observatorium, Universiteit Gent, Krijgslaan 281, B–9000 Gent, Belgium
I. KOURAKIS
Affiliation:
Centre for Plasma Physics, Department of Physics & Astronomy, Queen's University Belfast, BT7 1NN Northern Ireland, UK

Abstract

Supersolitons are a form of soliton characterised, inter alia, by additional local extrema superimposed on the usual bipolar electric field signature. Previous studies of supersolitons supported by three-component plasmas have dealt with ion-acoustic structures. An analogous problem is now considered, namely, dust-acoustic supersolitons in a plasma composed of fluid negative dust grains and two kappa-distributed positive ion species. Calculations illustrating some supersoliton characteristics are presented.

Type
Papers
Copyright
Copyright © Cambridge University Press 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

This paper is dedicated to the memory of Padma Shukla, a great scientist, whose enthusiasm inspired many, and whose infectious warmth and generous spirit will be missed by his friends and colleagues.

References

Baluku, T. K. and Hellberg, M. A. 2008 Dust acoustic solitons in plasmas with kappa-distributed electrons and/or ions. Phys. Plasmas 15, 123705.CrossRefGoogle Scholar
Baluku, T. K., Hellberg, M. A. and Verheest, F. 2010 New light on ion acoustic solitary waves in a plasma with two temperature electrons. Europhys. Lett. 91, 15001.CrossRefGoogle Scholar
Cairns, R. A., Mamun, A. A., Bingham, R., Boström, R., Dendy, R. O., Nairn, C. M. C. and Shukla, P. K. 1995 Electrostatic solitary structures in non-thermal plasmas. Geophys. Res. Lett. 22, 27092712.CrossRefGoogle Scholar
Dubinov, A. E. and Kolotkov, D. Yu. 2012 Ion-acoustic super solitary waves in dusty multispecies plasmas. IEEE Trans. Plasma Sci. 40, 14291433.CrossRefGoogle Scholar
Hellberg, M. A., Mace, R. L., Baluku, T. K., Kourakis, I. and Saini, S. N. 2009 Comment on ‘Mathematical and physical aspects of Kappa velocity distribution’ [Phys. Plasmas 14, 110702 (2007)]. Phys. Plasmas 16, 094701.CrossRefGoogle Scholar
Maharaj, S. K., Bharuthram, R., Singh, S. V. and Lakhina, G. S. 2013 Existence domains of dust-acoustic solitons and supersolitons. Phys. Plasmas 20, 083705.CrossRefGoogle Scholar
Pierrard, V. and Lazar, M. 2010 Kappa distributions: theory and applications in space plasmas. Solar Phys. 267, 153174.CrossRefGoogle Scholar
Rao, N. N., Shukla, P. K. and Yu, M. Y. 1990 Dust-acoustic waves in dusty plasmas. Planet. Space Sci. 38, 543546.CrossRefGoogle Scholar
Shukla, P. K. and Eliasson, B. Y. 1990 Colloquium: fundamentals of dust-plasma interactions. Rev. Mod. Phys. 81, 2544.CrossRefGoogle Scholar
Vasyliunas, V. M. 1968 A survey of low-energy electrons in the evening sector of the magnetosphere with OGO 1 and OGO 3. J. Geophys. Res. 73, 28392884.CrossRefGoogle Scholar
Verheest, F., Hellberg, M. A. and Kourakis, I. 2013a Electrostatic supersolitons in three-species plasmas. Phys. Plasmas 20, 012302.CrossRefGoogle Scholar
Verheest, F., Hellberg, M. A. and Kourakis, I. 2013b Dust-ion-acoustic supersolitons in dusty plasmas with nonthermal electrons. Phys. Rev. E 87, 043107.CrossRefGoogle ScholarPubMed
Verheest, F., Hellberg, M. A. and Kourakis, I. 2013c Ion-acoustic supersolitons in plasmas with two-temperature electrons: Boltzmann and kappa distributions. Phys. Plasmas 20, 082309.CrossRefGoogle Scholar