Abstract
Solitons and shocks are addressed in a pair ion plasma in the presence of a kappa distribution. The dissipation is taken care of through the kinematic viscosity of both positive and negative ions in the plasma. The Kadomtsev–Petviashvili–Burger (KPB) equation is derived using the small amplitude expansion method. The Abel equation is obtained from the KPB equation and a solution is obtained by using the factorization method. The effect of the parameters κ and β (temperature ratio of ion species) is observed. Analytically we can find both solitons and shocks. The change of profile from soliton to shocks is shown in the figures. This study may be of wide relevance for the study of the formation of shocks and solitons in laboratory-produced pair ion plasmas.
Similar content being viewed by others
References
Ablowitz, M.J., Clarkson, P.A.: Solitons, Nonlinear Evolution Equations and Inverse Scattering. London Math. Society Lecture Notes Series, vol. 149. Cambridge University Press, Cambridge (1991)
Arshad, K., Mahmood, S.: Phys. Plasmas 17, 124501 (2010)
Asbridge, J.R., Bame, S.J., Strong, I.B.: J. Geophys. Res. 73, 5777 (1983). doi:10.1029/JA088iA09p06889
Chatterjee, P., Ghosh, U.N., Roy, K., Muniandy, S.V.: Phys. Plasmas 17, 122314 (2010)
Choi, C.-R., Min, K.W., Rhee, T.N.: Phys. Plasmas 18, 092901 (2011)
Divine, N., Garret, H.B.: J. Geophys. Res. 88, 6889 (1983). doi:10.1029/JA088iA11p08871
Estevez, P.G., Kutu, S., Negro, J., Nieto, L.M.: J. Phys. A 39, 11441 (2006)
Hasegawa, A., Shukla, P.K.: Phys. Scr. T 116, 105 (2005)
Hirota, R.: Phys. Rev. Lett. 27, 022306 (1971)
Karpman, V.I.: Nonlinear Waves in Dispersive Media. Pergamon, Oxford (1975)
Khan, M., Shukla, P.K.: Phys. Plasmas 12(1), 014504 (2005)
Krimigis, S.M., Carbary, J.F., Keath, E.P., Armstrong, T.P., Lanzerotti, L.J., Gloeckler, G.: J. Geophys. Res. 88, 8871 (1983). doi:10.1029/JA088iA11p08871
Mahmood, S., Ur-Rehman, H., Saleem, H.: Phys. Scr. 80, 035502 (2009)
Malfliet, W.: Am. J. Phys. 60, 650 (1992)
Masood, W., Rizvi, H.: Phys. Plasmas 17, 052314 (2010)
Masood, W., Mahmood, S., Imtiaz, N.: Phys. Plasmas 16, 122306 (2009)
Mendis, D.A., Rosenberg, M.: Annu. Rev. Astron. Astrophys. 32, 419 (1994)
Miura, M.R.: Backlund Transformation. Springer, Berlin (1978)
Oohara, W., Hatakeyama, R.: Phys. Rev. Lett. 91, 205005 (2003)
Oohara, W., Hatakeyama, R.: Phys. Plasmas 14, 055704 (2007)
Oohara, W., Date, D., Hatakeyama, R.: Phys. Rev. Lett. 95, 175003 (2005)
Oohara, W., Kuwabara, Y., Hatakeyama, R.: Phys. Rev. E 75, 056403 (2007)
Sahu, B.: Phys. Plasmas 17, 122305 (2010)
Shukla, P.K., Khan, M.: Phys. Plasmas 12, 014504 (2005)
Verheest, F.: Waves in Dusty Space Plasma. Kluwer, Dordrecht (2000)
Acknowledgement
This work is supported by UGC-Minor Research Project (F.PSW-005/10-11).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Samanta, U.K., Chatterjee, P. & Mej, M. Soliton and shocks in pair ion plasma in presence of superthermal electron. Astrophys Space Sci 345, 291–296 (2013). https://doi.org/10.1007/s10509-013-1403-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-013-1403-8