Abstract
In this paper, the ion-acoustic solitons in a weakly relativistic electron-positron-ion plasma have been investigated. Relativistic ions, Maxwell-Boltzmann distributed positrons and nonthermal electrons are considered in collisionless warm plasma. Using a reductive perturbation theory, a Korteweg-de Vries (KdV) equation is derived, and the relativistic effect on the solitons is studied. It is found that the amplitude of solitary waves of the KdV equation diverges at the critical values of plasma parameters. Finally, in this situation, the solitons of a modified KdV (mKdV) equation with finite amplitude is derived.
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Arons, J.: Space Sci. Rev. 24, 417 (1979)
Bandyopadhyay, A., Das, K.P.: Phys. Scr. 63, 145 (2001)
Bharuthram, R., Shukla, P.K.: Phys. Fluids 20, 3214 (1986)
Carins, RA, Bingham, R., Dendy, R.O., Nairn, C.M.C., Shukla, P.K., Mamun, A.A.: J. Phys. (France) IV 5C6, 43 (1995b)
Carins, RA, Mamun, A.A., Bingham, R., Bostrom, R., Dendy, R.O., Nairn, C.M.C. et al.: Geophys. Res. Lett. 22, 2709 (1995a)
Carins, RA, Mamun, A.A., Bingham, R., Shukla, P.K.: Phys. Scr. T63, 80 (1996)
Das, G.C., Paul, S.N.: Phys. Fluids 28, 823 (1985)
Dovner, P.O., Eriksson, AI, Bostrom, R., Holback, B.: Geophys. Res. Lett. 21, 1827 (1994)
El-Labany, S.K., El-Taibany, W.F.: Phys. Plasmas 10, 989 (2003)
EL-Labany, S.K., Shaaban, S.M.: J. Plasma Phys. 53, 245 (1995)
EL-Labany, S.K., Nafie, H.O., EL-Sheikh, A.: J. Plasma Phys. 56, 13 (1996)
Gill, T.S., Singh, A., Kaur, H., Saini, N.S., Bala, P.: Phys. Lett. A 361, 346 (2007)
Goldreich, P., Julian, W.H.: Astrophys. J. 157, 869 (1969)
Grabbe, C.: J. Geophys. Res. 94, 17299 (1989)
Hall, D.S., Chaloner, C.P., Bryant, D.A., Lepine, D.R., Trikakis, J.: Geophys. Res. 96, 7869 (1991)
Ikezi, H.: Phys. Fluids 16, 1668 (1973)
Kalita, B.C., Barman, S.N., Goswami, G.: Phys. Plasmas 3, 145 (1996)
Kaur, H., Gill, T.S., Saini, N.S.: Chaos Solitons Fractals 42, 1638 (2009)
Kuehl, H.H., Zhang, G.Y.: Phys. Fluids B 3, 26 (1991)
Lundin, R., Eliasson, L., Hultquist, B., Stastewicz, K.: Geophys. Res. Lett. 14, 443 (1987)
Mahmood, S., Saleem, H.: Phys. Plasmas 9, 724 (2002)
Mamun, A.A.: Eur. Phys. J. D 11, 143 (2000)
Masood, W., Jehan, N., Mirza, A.M., Sakanaka, P.H.: Phys. Lett. A 372, 4279 (2008)
Michel, F.C.: Rev. Mod. Phys. 54, 1 (1982)
Miller, H.R., Witta, P.J.: Active Galactic Nuclei, p. 202. Springer, Berlin (1987),
Misner, W., Thorne, K.S., Wheeler, J.I.: Gravitation, p. 763. Freeman, San Francisco (1973),
Misra, A.P., Bhowmik, C.: Phys. Lett. A 369, 90 (2007)
Mushtaq, A., Shah, H.A.: Phys. Plasmas 12, 012301 (2005)
Nejoh, Y.: J. Plasma Phys. 37, 487 (1987)
Nejoh, Y.: J. Plasma Phys. 38, 439 (1987)
Nejoh, Y.N.: Aust. J. Phys. 50, 309 (1997)
Rees, M.J.: In: The Very Early Universe, Gibbson, G.W., Hawking, S.W., Siklas, S. (eds.) Cambridge University Press, Cambridge (1983)
Rizzato, F.B.: J. Plasma Phys. 40, 289 (1988)
Shukla, P.K.: Phys. Plasmas 10, 1619 (2003)
Singh, S., Honzawa, T.: Phys. Fluids B 5, 2093 (1993)
Surko, C.M., Murphy, T.: Phys. Fluids B 2, 1372 (1990)
Surko, C.M., et al.: Rev. Sci. Instrum. 57, 1862 (1986)
Tagare, S.G.: Plasma Phys. 15, 1247 (1973)
Tian, B., Gao, Y.T.: Phys. Lett. A 362, 283 (2007)
Verheest, F.: Space Sci. Rev. 77, 267 (1996)
Vette, J.I.: Summary of particle population in the magnetosphere. In: Particle and Fields in the Magnetosphere, p. 305. Reidel, Dordrecht (1970)
Washimi, H., Taniuti, T.: Phys. Rev. Lett. 17, 996 (1996)
Yadav, L.L., Sharma, S.R.: Phys. Scr. 43, 106 (1991)
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Pakzad, H.R. Ion acoustic solitons of KdV and modified KdV equations in weakly relativistic plasma containing nonthermal electron, positron and warm ion. Astrophys Space Sci 332, 269–277 (2011). https://doi.org/10.1007/s10509-010-0533-5
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DOI: https://doi.org/10.1007/s10509-010-0533-5