Abstract
Electrostatic solitary structures are studied in uniform and nonuniform magnetoplasmas with superthermal electrons. In the linear analysis, the differences in the acoustic frequencies for Maxwellian, Cairns, and Kappa distributed electrons for both homogeneous and inhomogeneous plasmas are highlighted and discussed. It is shown that using the linear dispersion relation, nonlinear Zakharov-Kuznetsov (ZK) equation can be derived both for the homogeneous and inhomogeneous magnetoplasmas. The solution of the ZK equation is presented using the tangent hyperbolic method. It is found that the increasing magnetic field and the angle of propagation enhances the amplitude whereas the increasing number density mitigates the amplitude of the acoustic drift solitary wave. Furthermore, it is observed that the amplitude of the solitary structure is maximum for Cairns, intermediate for Maxwellian, and minimum for the Kappa distributed electrons. The results presented in this paper may be beneficial to understand the formation of electrostatic drift solitary waves in planetary environments where the nonthermal population of electrons are observed by various satellite missions.
Similar content being viewed by others
References
Abbasi, H., Pajouh, H.H.: Phys. Plasmas 14, 012307 (2007)
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)
Bostrom, R.: IEEE Trans. Plasma Sci. 20, 756 (1992)
Cairns, R.A., Mamun, A.A., Bingham, R., Boström, R., Dendy, R.O., Nairn, C.M.C., Shukla, P.K.: Geophys. Res. Lett. 22, 2709 (1995)
Cairns, R.A., Mamun, A.A., Bingham, R., Shukla, P.K.: Phys. Scr. T 63, 80 (1996)
Cattaert, M.A., Hellberg, M.A., Mace, R.L.: Phys. Plasmas 14, 082111 (2007)
Christon, S.P., Mitchell, D.G., Williams, D.J., Frank, L.A., Huang, C.Y., Eastman, T.E.: J. Geophys. Res. 93, 2562 (1988)
Christon, S.P., Williams, D.J., Mitchell, D.G., Frank, L.A., Huang, C.Y.: J. Geophys. Res. 94, 13409 (1989)
Dovner, P.O., Eriksson, A.I., Bostrom, R., Holback, B.: Geophys. Res. Lett. 21, 1827 (1994)
Gell, Y.: Phys. Rev. A 16, 402 (1977)
Hasegawa, A., Mima, K.: Phys. Rev. Lett. 39, 205 (1977)
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)
Infeld, E., Rowlands, G.: Nonlinear Waves, Solitons and Chaos, p. 107. Cambridge University Press, Cambridge (1990)
Iwasaki, H., Toh, S., Kawahara, T.: Physica D 43, 293 (1990)
Kadomtsev, B.B., Petviashvilli, V.I.: Sov. Phys. J. 15, 539 (1970)
Laedke, E.W., Spatschek, K.H.: Phys. Fluids 29, 133 (1986)
Mace, R.L., Hellberg, M.A.: Phys. Plasmas 2, 2098 (1995)
Mace, R.L., Hellberg, M.A.: Phys. Plasmas 8, 2649 (2001)
Mace, R.L., Hellberg, M.A., Treumann, R.A.: J. Plasma Phys. 59, 393 (1998)
Mace, R.L., Amery, G., Hellberg, M.A.: Phys. Plasmas 6, 44 (1999)
Malfliet, W.: Am. J. Phys. 60, 650 (1992)
Malfliet, W.: J. Comput. Appl. Math. 529, 164 (2004)
Mamun, A.A.: Phys. Rev. E 55, 1852 (1997)
Mamun, A.A.: Eur. Phys. J. D 11, 143 (2000)
Marsch, E., Muhlhauser, K.H., Schwenn, R., Rosenbauer, H., Pillip, W., Neubauer, F.M.: J. Geophys. Res. 87, 52 (1982)
Masood, W., Ahmad, A.: Astrophys. Space Sci. 340, 367 (2012)
Masood, W., Rizvi, H.: Phys. Plasmas 18, 062304 (2011)
Masood, W., Schwartz, S.: J. Geophys. Res. 113, A01216 (2008)
Masood, W., Schwartz, S., Maksimovic, M., Fazakerley, A.N.: Ann. Geophys. 24, 1725 (2006)
Masood, W., Rizvi, H., Hasnain, H., Batool, N.: Astrophys. Space Sci. 345(1), 49 (2013). doi:10.1007/s10509-013-1382-9
Meiss, J.D., Horton, W.: Phys. Rev. Lett. 48, 1362 (1982)
Mikhailovskii, A.B.: Theory of Plasma Instabilities, vol. 2. Consultants Bureau, New York (1974). Chaps. 1, 4
Mushtaq, A.: Phys. Plasmas 15, 082313 (2008)
Mushtaq, A., Shah, H.A.: Phys. Plasmas 12, 072306 (2005)
Nozaki, K.: Phys. Rev. Lett. 46, 184 (1981)
Oraevskii, V.N., Tasso, H., Wobig, H.: In: Proc. Third International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Novosibirsk, U.S.S.R., 1968, vol. 1, p. 671. International Atomic Energy, Vienna (1969)
Petviashvili, V.I.: Sov. J. Plasma Phys. 3, 150 (1977)
Pisarenko, N.F., Budnik, E.Y., Ermolaev, Y.I., Kirpichev, I.P., Lutsenko, V.N., Morozova, E.I., Antonova, E.E.: J. Atmos. Sol.-Terr. Phys. 64, 573 (2002)
Podesta, J.J.: Phys. Plasmas 12, 052101 (2005)
Rahman, H.U., Shukla, P.K.: Phys. Lett. A 78, 253 (1980)
Sabry, R., Moslem, W.M., Shukla, P.K.: Plasma Phys. Control. Fusion 54, 035010 (2012)
Sahu, B., Roychoudhury, R.: Europhys. Lett. 100, 15001 (2012)
Sarris, E.T., Krimigis, S.M., Lui, A.T.Y., Ackerson, K.L., Frank, L.A., Williams, D.J.: Geophys. Res. Lett. 8, 349 (1981)
Scudder, J.D., Sittler, E.C., Bridge, H.S.: J. Geophys. Res. 86, 8157 (1981)
Shukla, P.K.: Phys. Scr. 36, 644 (1987)
Shukla, P.K., Mamun, A.A.: Phys. Lett. A 315, 258 (2003)
Shukla, P.K., Yu, M.Y., Rahman, H.U., Spatschek, K.H.: Phys. Rep. 105, 227 (1984)
Summers, D., Thorne, R.M.: Phys. Fluids B 3, 1835 (1991)
Tasso, H.: Phys. Lett. A 24, 618 (1967)
Vasyliunas, V.M.: J. Geophys. Res. 73, 2839 (1968)
Zakharov, V.E., Kuznetsov, E.A.: Sov. Phys. JETP 39, 285 (1974)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Masood, W., Hassan, S., Batool, N. et al. Formation of solitary structures in uniform and nonuniform magnetoplasmas with superthermal electrons: a non-reductive perturbative approach. Astrophys Space Sci 348, 107–114 (2013). https://doi.org/10.1007/s10509-013-1541-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-013-1541-z