Abstract
This work investigates the theoretical and numerical studies on nonlinear propagation of ion acoustic solitary waves (IASWs) in an unmagnetized plasma consisting of nonextensive electrons, Boltzmann positrons and relativistic thermal ions. The Korteweg-de Vries (KdV) equation is derived by using the well known reductive perturbation method. This equation admits the soliton like solitary wave solution. The effects of phase velocity, amplitude of soliton, width of soliton and electrostatic nonlinear propagation of weakly relativistic ion-acoustic solitary waves have been discussed with graphical representation found in the variation of the plasma parameters. The obtained results can be helpful in understanding the features of small but finite amplitude localized relativistic ion-acoustic waves for an unmagnetized three component plasma system in astrophysical compact objects.
Similar content being viewed by others
References
Ashraf, S., Yasmin, S., Asaduzzaman, M., Mamun, A.A.: Astrophys. Space Sci. 344, 145 (2013)
Ashraf, S., Yasmin, S., Asaduzzaman, M., Mamun, A.A.: Plasma Phys. Rep. 40, 306 (2014)
Alinejad, H.: Astrophys. Space Sci. 345, 85 (2013)
Burns, M.L., Harding, A.K., Ramaty, R.: Positron–Electron Pairs in Astrophysics. American Institute of Physics, New York (1983)
Eslami, P., Mottaghizadeh, M., Pakzad, H.R.: Phys. Scr. 83, 065502 (2011)
Eslami, P., Mottaghizadeh, M., Pakzad, H.R.: Phys. Plasmas 18, 072305 (2012)
Ferdousi, M., Yasmin, S., Ashraf, S., Mamun, A.A.: Chin. Phys. Lett. 32(1), 015201 (2015)
Gill, T.S., Singh, A., Kaur, H., Saini, N.S., Bala, P.: Phys. Lett. A 361, 364 (2007)
Gill, T.S., Bains, A.S., Saini, N.S.: Can. J. Phys. 87, 861 (2009)
Hoyos, J., Reisenegger, A., Valdivia, J.A.: Astron. Astrophys. 487(3), 789 (2008)
Rouhani, M.R., Ebne Abbasi, Z.: Phys. Plasmas 19(11), 112307 (2012)
Liang, E.P., Wilks, S.C., Tabak, M.: Phys. Rev. Lett. 81(22), 4887 (1998)
Michel, F.C.: Rev. Mod. Phys. 54(1), 1 (1982)
Michel, F.C.: Theory of Neutron Star Magnetosphere. Chicago University Press, Chicago (1991)
Mehdipoor, M., Neirameh, A.: Astrophys. Space Sci. 337, 269–274 (2012)
Mamun, A.A., Shukla, P.K.: Phys. Plasmas 9, 1468 (2002)
Mamun, A.A., Shukla, P.K.: Phys. Lett. A 374(3), 472 (2010a)
Mamun, A.A., Shukla, P.K.: Phys. Plasmas 17, 10 (2010b)
Miller, H.R., Wiita, P.J.: Active Galactic Nuclei p. 202. Springer, Berlin (1987)
Pakzad, H.R.: Astrophys. Space Sci. 331, 169 (2011)
Pakzad, H.R., Tribeche, M.: J. Fusion Energy 32, 171 (2013)
Popel, S.I., Vladimirov, S.V., Shukla, P.K.: Phys. Scr. 2, 716 (1995)
Roy, N., Tasnim, S., Mamun, A.A.: Phys. Plasmas 19, 6 (2012)
Saini, N.S., Shalini: Astrophys. Space Sci. 346, 155 (2013b)
Saini, N.S., Chahal, B.S., Bains, A.S.: Astrophys. Space Sci. 347, 129 (2013a)
Saeed, R., Shah, A., Noaman-ul-Haq, M.: Phys. Plasmas 17, 102301 (2010)
Shukla, P.K., Rao, N.N., Yu, M.Y., Tsintsadze, N.L.: Phys. Rep. 138(1–2), 1 (1986)
Shukla, P.K., Mamun, A.A., Stenflo, L.: Phys. Scr. 68, 295 (2003)
Shukla, P.K., Mendonca, J.T., Bingham, R.: Phys. Scr. T 113, 133 (2004)
Silva, R., Plastino, A., Lima, J.: Phys. Lett. A 249, 401 (1998)
Silva, L.O., Bingham, R., Dawson, J.M., Mendona, J.T., Shukla, P.K.: Phys. Rev. Lett. 83(14), 2703 (1999)
Sakanaka, P.K.: Phys. Fluids 15, 1323 (1972)
Tribeche, M., Djebarni, L.: Phys. Plasmas 17, 124502 (2010)
Taniuti, T., Yajima, N.: J. Math. Phys. 10, 1369 (1969)
Wang, X., et al.: Phys. Rev. Lett. 101, 124801 (2008)
Zobaer, M.S., Roy, N., Mamun, M.M.: Astrophys. Space Sci. 350, 231 (2014)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hafez, M.G., Talukder, M.R. Ion acoustic solitary waves in plasmas with nonextensive electrons, Boltzmann positrons and relativistic thermal ions. Astrophys Space Sci 359, 27 (2015). https://doi.org/10.1007/s10509-015-2480-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-015-2480-7