Abstract
Properties of fully nonlinear electron-acoustic solitary waves in an unmagnetized and collisionless electron-positron-ion plasma containing cold dynamical electrons, superthermal electrons and positrons obeying Cairns’ distribution have been analyzed in the stationary background of massive positive ions. A linear dispersion relation has been derived, from which it is found that even in the absence of superthermal electrons, the superthermal positron component can provide the restoring force to the cold inertial electrons to excite electron-acoustic waves. Moreover, superthermal electron and positron populations seem to enhance the electron acoustic wave phase speed. For nonlinear analysis, Korteweg-de Vries equation is obtained using the reductive perturbation technique. It is found that in the presence of positron both hump and dip type solitons appear to excite. The present work may be employed to explore and to understand the formation of electron acoustic soliton structures in the space and laboratory plasmas with nonthermal electrons and positrons.
Similar content being viewed by others
References
Adrani: Nature 458, 607 (2009)
Anderegg, F., Driscoll, C.F., Dubin, D.H.E., O’Neil, T.M., Valentini, F.: Phys. Plasmas 16, 055705 (2009)
Armstrong, T.P., Paonessa, M.T., Bell, E.V., Krimigis, S.M.: Geophys. Res. 88, 8893 (1983)
Baluku, T.K., Hellberg, M.A.: Plasma Phys. Control. Fusion 53, 095007 (2011)
Berezhiani, V.I., El-Ashry, M.Y., Mofiz, U.A.: Phys. Rev. E 50, 448 (1994)
Berthomier, M., Pottelette, R., Malingre, M., Khotyaintsev, Y.: Phys. Plasmas 09, 2987 (2000)
Bostron, R.: IEEE Trans. Plasma Sci. 20, 756 (1992)
Cairns, R.A., Mamun, A.A., Bingham, R., Bostrom, R., Dendy, R.O., Nairn, C.M.C., Shukla, P.K.: Geophys. Res. Lett. 22, 2709 (1995)
Cattell, C.A., Dombeck, J., Wygant, J.R., Hudson, M.K., Mozer, F.S., Temerin, M.A., Peterson, W.K., Kletzing, C.A., Russell, C.T., Pafaff, R.F.: Geophys. Res. Lett. 26, 425 (1999)
Chakrabarti, N., Roychoudhury, R., Sengupta, S.: Phys. Plasmas 16, 072311 (2011)
Collier, M.R.: Geophys. Res. Lett. 20, 1531 (1993)
Danehkar, A., Saini, N.S., Hellberg, M.A., Kourakis, I.: (2011). arXiv:1107.5226 Astro-ph.SR
Davidson, R.C.: Methods in Nonlinear Plasma Theory. Academic Press, New York (1972)
Devanandhan, S., Singh, S.V., Lakhina, G.S.: Phys. Scr. 84, 025507 (2011)
Dubouloz, N., Treumann, R.A., Pottelette, R., Malingre, M.: J. Geophys. Res. 98, 17415 (1993)
Dwyer, J.R., Grefenstette, B.W., Smith, D.M.: Geophys. Res. Lett. 35, L02815 (2008)
El-Labany, S.K., Sabry, R., El-Taibany, W.F., Elghmaz, E.A.: Phys. Plasmas 17, 042301 (2010)
El-Shamy, E.F., El-Taibany, W.F., El-Shewy, E.K., El-Shorbagy: Astrophys. Space Sci. 338, 279 (2012)
Ergun, R.E., Andersson, L., Main, D., Su, Y.-J., Neuman, D.L., Goldman, M.V., Carlson, C.W., Hull, A.J., McFadden, J.P., Mozer, F.S.: J. Geophys. Res. 109, A12220 (2004)
Evans, D.S.: J. Geophys. Res. 79, 2853 (1974)
Fiandrini, E.: J. Geophys. Res. 108, 1402 (2003)
Fiandrini, E., Esposito, G., Bertucci, B., Albet, B., Ambrosi, G., Battiston, R., Buuger, W.J., Caraffini, D., Di Masso, L., Dinu, N., Ionica, M., Ionica, R., Pauluzzi, M., Menichelli, M., Zuccon, P.: Space Weather 2, S09S02 (2004)
Galper, A.M., Koldashov, S.V., Mikhailov, V.V., Voronov, S.A.: Radiat. Meas. 26, 375 (1996)
Gary, S.P., Tokar, R.L.: Geophys. Res. Lett. 11, 1180 (1984)
Gill, R.G.: Nucl. Fusion 33, 1613 (1993)
Ginzburg, V.L.: Sov. Phys. Usp. 14, 83 (1971)
Gould, R.J.: Astrophys. J. 344, 232 (1989)
Gusev, A.A., Jayanthi, U.B., Pugacheva, G.I., Pankov, V.M., Schuch, N.: Earth Planets Space 54, 707 (2004)
Helander, P., Ward, D.J.: Phys. Rev. Lett. 90, 135004 (2003)
Hortwitz, J.L., Gallagher, D.L., Peterson, W.K.: Geospace Mass and Energy Flow, p. 343. AGU, Washington (1998)
Iwamoto, N.: Phys. Rev. E 47, 1 (1993)
Jehan, N., Salahuddin, M., Mirza Arshad, M.: Phys. Plasmas 16, 062305 (2009)
Jilani, K., Mirza, A.M., Khan, T.A.: Astrophys. Space Sci. (2013). doi:10.1007/s10509-012-x
Kourakis, I., Shukla, P.K.: Phys. Rev. E 69, 036411 (2004)
Lakhina, G.S., Singh, S.V., Kakad, A.P., Verheest, F., Bharuthram, R.: Nonlinear Process. Geophys. 15, 903 (2008)
Lakhina, G.S., Singh, S.V., Kakad, A.P.: Adv. Space Res. 47, 1558–1567 (2011)
Lang, E.P., Wilks, S.C., Tabak, M.: Phys. Rev. Lett. 81, 4887 (1998)
Leblond, H.: J. Phys. B, At. Mol. Opt. Phys. 41, 043001 (2008)
Mace, R.L., Hellberg, M.A.: J. Plasma Phys. 43, 239 (1990)
Mace, R.L., Hellberg, M.A.: Phys. Plasmas 8, 2649 (2001)
Mace, R.L., Baboolal, S., Bharuthram, R., Hellberg, M.A.: J. Plasma Phys. 45, 323 (1991)
Mace, R.L., Amery, G., Hellberg, M.A.: Phys. Plasmas 6, 44 (1999)
Mamun, A.A., Shukla, P.K.: Phys. Plasmas 9, 4 (2002)
Michel, F.C.: Rev. Mod. Phys. 54, 01 (1982)
Miller, H.R., Witta, P.J.: Active Galactic Nuclei, p. 202. Springer, Berlin (1987)
Moskalenko, I.V., Strong, A.W.: Astrophys. J. 493, 694 (1998)
Moslem, W.M., Kourakis, I., Shukla, P.K., Schlickieser, R.: Phys. Plasmas 14, 102901 (2007)
Mozer, F.S., Kletzig, C.A.: Geophys. Res. Lett. 25, 1629 (1998)
Mozer, F.S., Carlson, C.W., Hudson, M.K., Torbert, R.B., Parady, B., Yatteau, J., Kelley, M.C.: Phys. Rev. Lett. 38, 292 (1977)
Pakzad, H.R., Javidan, K.: Astrophys. Space Sci. 331, 175–180 (2011)
Pakzad, H.R., Tribeche, M.: J. Fusion Energy 32, 171–176 (2013)
Pickett, J.S., Kahler, S.W., Chen, L.-J., Huff, R.L., Santolik, O., Khotyainsev, Y., Decreau, P.M.E., Winningham, D., Frahm, R., Goldstein, M.L., Lakhina, G.S., Tsurutani, B.T., Lavraud, B., Gurnett, D.A., Andre, M., Fazakerley, A., Balogh, A., Reme, H.: Nonlinear Process. Geophys. 11, 183 (2004)
Pickett, J.S., Chen, L.-J., Kahler, S.W., Santolik, O., Goldstein, M.L., Lavraud, B., Decreau, P.M.E., Kessel, R., Lucek, E., Lakhina, G.S., Tsurutani, B.T., Gurnett, D.A., Kornilleau-Wehrlin, N., Fazakerley, A., Reme, H., Balogh, A.: Nonlinear Process. Geophys. 12, 181 (2005)
Plyaskin, V.: Astropart. Phys. Plasmas 30, 18 (2008)
Popel, S.I., Vladimirov, S.V., Shukla, P.K.: Phys. Plasmas 2, 716–719 (1995)
Pottelette, R., Berthomier, M.: Nonlinear Process Geophys. Plasmas 16, 373 (2009)
Pottelette, R., Treumann, R.A.: Geophys. Res. Lett. 32, L12104 (2005)
Pottelette, R., Ergun, R.E., Treumann, R.A., Berthomier, M., Carlson, C.W., McFadden, J.P., Roth, I.: Geophys. Res. Lett. 26, 2629 (1999)
Rees, M.J.: In: Gibbons, G.W., Hawking, S.W., Siklas, S. (eds.) The Very Early Universe. Cambridge University Press, Cambridge (1983)
Rizzato, F.B.: J. Plasma Phys. 40, 289 (1988)
Sabry, R., Moslem, W.M., Shukla, P.K.: Phys. Plasmas 16, 032302 (2009)
Sahu, B., Tribeche, M.: Phys. Plasmas 19, 022304 (2012)
Singh, S.V., Lakhina, G.S.: Planet. Space Sci. 49, 107–114 (2001)
Sturrock, P.A.: J. Astrophys. 164, 529 (1971)
Tandberg-Hansen, E., Emslie, A.G.: The Physics of Solar Flares, p. 124. Cambridge University Press, Cambridge (1988)
Tanuiti, T.: Prog. Theor. Phys. Suppl. 55, 1 (1974)
Temerin, M., Cerny, K., Lotko, W., Mozer, F.S.: Phys. Rev. Lett. 48, 1175 (1982)
Tribeche, M., Aoutou, K., Younsi, S., Amour, M.: Phys. Plasmas 16, 072103 (2009)
Verheest, F., Pillay, S.R.: Phys. Plasmas 15, 013703 (2008)
Verheest, F., Cattaert, T., Hellberg, M.: Space Sci. Rev. 121, 299 (2005)
Voronov, S.A., Galper, A.M., Kirilov-Ugryumov, V.G., Koldashov, S.V., Popov, A.V.: JETP Lett. 43, 307 (1986)
Yoshino, R., Tokuda, S., Kawano, Y.: Nucl. Fusion 39, 151 (1999)
Zank, G.P., Greaves, R.G.: Phys. Rev. E 51, 6 (1995)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jilani, K., Mirza, A.M. & Khan, T.A. Electrostatic electron acoustic solitons in electron-positron-ion plasma with superthermal electrons and positrons. Astrophys Space Sci 349, 255–263 (2014). https://doi.org/10.1007/s10509-013-1637-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-013-1637-5