Abstract
The propagation of nonlinear waves in plasmas consisting of cold electron fluid and superthermal hot electrons and stationary ions is studied. The Korteweg-de Vries (KdV) equation is derived using the reductive perturbation theory. It is found that only the rarefractive solitons can be created. Moreover, the linear dispersion relation and energy of solitary waves in the presence of hot superthermal electrons are derived. Our investigation is of wide relevance to astronomers and space scientists working on interstellar space plasmas.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Abbasi, H., Pajouh, H.H.: Phys. Plasmas 14, 012307 (2007)
Annou, R.: Phys. Plasmas 5, 2813 (1998)
Armstrong, T.P., Paonessa, M.T., Bell, E.V., Krimigis, S.M.: J. Geophys. Res. 88, 8893 (1983). doi:10.1029/JA088iA11p08893
Baluku, T.K., Hellberg, M.A.: Phys. Plasmas 15, 123705 (2008)
Baluku, T.K., Hellberg, M.A., Kourakis, I., Saini, N.S.: Phys. Plasmas 17, 053702 (2010)
Berthomier, M., Pottelette, R., Malingre, M., Khotyaintsev, Y.: Phys. Plasmas 7, 2987 (2000)
Berthomier, M., Pottelette, R., Muschietti, L., Roth, I., Carlson, C.W.: Geophys. Res. Lett. 30, 2148 (2003)
Boubakour, N., Tribeche, M., Aoutou, K.: Phys. Scr. 79, 065503 (2009)
Chatterjee, P., Roychoudhury, R.K.: J. Plasma Phys. 53, 25 (1995)
Dubouloz, N., Pottelette, R., Malingre, M., Treumann, R.A., Watanabe, K., Taniuti, T.: J. Phys. Soc. Jpn. 43, 1819 (1977)
El-Shewy, E.K.: Chaos Solitons Fractals 31, 1020 (2007a)
El-Shewy, E.K.: Chaos Solitons Fractals 34, 628 (2007b)
Ergun, R., Carlson, B., McFadden, M.: Geophys. Res. Lett. 25, 2025 (1998)
Feldman, W.C., Asbridge, J.R., Bame, S.J., Montgomery, M.D.: J. Geophys. Res. 78, 2017 (1973)
Formisano, V., Moreno, G., Palmiotto, F.: J. Geophys. Res. 78, 3714 (1973)
Gary, S.P., Tokar, R.L.: Phys. Fluids 28, 2439 (1985)
Gill, T.S., Kaur, H., Saini, N.S.: Chaos Solitons Fractals 30, 1020 (2006)
Hasegawa, A., Mima, K., Duong-Van, M.: Phys. Rev. Lett. 54, 2608 (1985)
Hellberg, M.A., Mace, R.L.: Phys. Plasmas 9, 1495 (2002)
Hellberg, M.A., Mace, R.L., Bakalu, T.K., Kourakis, I., Saini, N.S.: Phys. Plasmas 16, 094701 (2009)
Leubner, M.P.: J. Geophys. Res. 87, 6335 (1982). doi:10.1029/JA087iA08p06335
Mace, R.L., Hellberg, M.A.: Phys. Plasmas 2, 2098 (1995a)
Mace, R.L., Hellberg, M.A.: Phys. Plasmas 2, 2098 (1995b)
Mace, R.L., Hellberg, M.A.: Phys. Plasmas 8, 2649 (2001)
Magni, S., Roman, H.E., Barni, R., Riccardi, C., Pierre, Th., Guyomarc’h, D.: Phys. Rev. E 72, 026403 (2005)
Mamun, A.A., Shukla, P.K.: J. Geophys. Res. 107, 1135 (2002)
Mamun, A.A., Shukla, P.K., Stenflo, L.: Phys. Plasmas 9, 1474 (2002)
Marsch, E., Muhlhauser, K.H., Schwenn, R., Rosenbauer, H., Pilipp, W., Neubauer, F.M.: J. Geophys. Res. 87, 52 (1982)
Montgomery, D.S., Focia, R.J., Rose, H.A., Russell, D.A., Cobble, J.A., Fernandez, J.C., Johnson, R.P.: Phys. Rev. Lett. 87, 155001 (2001)
Pakzad, H.R., Tribeche, M.: Astrophys. Space Sci. Trans. 330, 95–99 (2010)
Podesta, J.J.: Phys. Plasmas 12, 052101 (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)
Sahu, B.: Phys. Plasmas 17, 122305 (2010a)
Sahu, B.: Phys. Plasmas 17, 122305 (2010b)
Samanta, S., Misra, A.P., Chowdhury, A.P.: Planet. Space Sci. 55, 1380 (2007)
Schriver, D., Ashour-Abdalla, M.: Geophys. Res. Lett. 16, 899 (1989)
Scudder, J.D., Sittler, E.C., Bridge, H.S.: J. Geophys. Res. 86, 8157 (1981)
Shukla, P.K., Mamun, A.A., Eliasson, B.: Geophys. Res. Lett. 31, L07803 (2004)
Singh, S., Honzawa, T.: Phys. Fluids B 5, 2093 (1993)
Singh, S.V., Lakhina, G.S.: Planet. Space Sci. 49, 107 (2001)
Sultana, S., Kourakis, I., Saini, N.S., Hellberg, M.A.: Phys. Plasmas 17, 032310 (2010)
Summers, D., Thorne, R.M.: Phys. Fluids B 3, 1835 (1991)
Summers, D., Thorne, R.M.: Phys. Plasmas 1, 2012 (1994)
Thorne, R.M., Summers, D.: Phys. Fluids B 3, 2117 (1991)
Tokar, R.L., Gary, S.P.: Geophys. Res. Lett. 11, 1180 (1984)
Tribeche, M., Boubakour, N.: Phys. Plasmas 16, 084502 (2009)
Vasyliunas, V.M.: J. Geophys. Res. 73, 2839 (1968). doi:10.1029/JA073i009p02839
Watanabe, K., Taniuti, T.: J. Phys. Soc. Jpn. 43, 1819 (1977)
Younsi, S., Tribeche, M.: Astrophys. Space Sci. Trans. 330, 295–300 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pakzad, H.R. Energy of electron acoustic solitons in plasmas with superthermal electron distribution. Astrophys Space Sci 337, 217–222 (2012). https://doi.org/10.1007/s10509-011-0816-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-011-0816-5