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Electrostatic nonlinear supersolitons in dusty plasmas

  • Frank Verheest (a1)


Using the Sagdeev pseudopotential method, the properties of negative dust-acoustic supersolitons are investigated in a plasma comprising cold negative dust and Boltzmann and Cairns non-thermal positive ions. Supersolitons have electric field profiles with additional wiggles on traditional bipolar structures, and their existence requires pseudopotentials having two sub-wells before a root is reached. Once the existence ranges are determined in parameter space, typical pseudopotential, supersoliton and electric field profiles can be easily generated. Their characteristics are very robust and yield dust and dust-ion-acoustic supersolitons in a wide range of compositional models and parameter ranges.


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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.
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.
Das, A., Bandyopadhyay, A. and Das, K. P. 2012 Dust ion-acoustic solitary structures in non-thermal dusty plasma. J. Plasma Phys. 78, 149164.
Dubinov, A. E. and Kolotkov, D. Yu. 2012 Ion-acoustic super solitary waves in dusty multispecies plasmas. IEEE Trans. Plasma Sci. 40, 14291433.
Hellberg, M. A., Baluku, T. K., Verheest, F. and Kourakis, I. 2013 Dust-acoustic supersolitons in a three-species dusty plasma with kappa distributions. J. Plasma Phys. 79, 10391043.
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.
Pickett, J. S., Chen, L.-J., Kahler, S. W., Santolík, O., Gurnett, D. A., Tsurutani, B. T. and Balogh, A. 2004 Isolated electrostatic structures observed throughout the Cluster orbit: relationship to magnetic field strength. Ann. Geophys. 22, 25152523.
Rao, N. N., Shukla, P. K. and Yu, M. Y. 1990 Dust-acoustic waves in dusty plasmas. Planet. Space Sci. 38, 543546.
Sagdeev, R. Z. 1966 Cooperative phenomena and shock waves in collisionless plasmas. In Reviews of Plasma Physics Vol. 4 (ed. Leontovich, M. A.). New York, NY: Consultants Bureau, 1966, pp. 2391.
Shukla, P. K. and Eliasson, B. Y. 2009 Colloquium: fundamentals of dust-plasma interactions. Rev. Mod. Phys. 81, 2544.
Shukla, P. K. and Silin, V. P. 1992 Dust ion-acoustic wave. Phys. Scr. 45, 508.
Verheest, F. 2009 Nonlinear acoustic waves in nonthermal plasmas with negative and positive dust. Phys. Plasmas 16, 013704.
Verheest, F. 2011 Dust-acoustic solitary modes in plasmas with isothermal and nonthermal ions: polarity switches and coexistence domains. Phys. Plasmas 18, 083701.
Verheest, F., Hellberg, M. A. and Kourakis, I. 2013a Electrostatic supersolitons in three-species plasmas. Phys. Plasmas 20, 012302.
Verheest, F., Hellberg, M. A. and Kourakis, I. 2013b Dust-ion-acoustic supersolitons in dusty plasmas with nonthermal electrons. Phys. Rev. E 87, 043107.
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.
White, R. B., Fried, B. D. and Coroniti, F. V. 1972 Structure of ion acoustic solitons and shock waves in a two-component plasma. Phys. Fluids 15, 14841490.
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