Abstract
A Korteweg-de Vries (KdV) equation with a linear Landau damping term describing weakly nonlinear and weakly dispersive ion-acoustic waves in an electron-positron-ion plasma is derived. It is found that the Landau damping causes the solitary wave amplitude to decay with time. It is also found that in absence of Landau damping, both linear wave phase velocity and solitary wave amplitude decrease with the increase of positron density, whereas, both increase with the increase of positron temperature. On the other hand, the Landau damping rate decreases with the increase of both positron density and temperature.
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References
Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions, pp. 256, 807. Dover, New York (1970)
Bandyopadhyay, A., Das, K.P.: Phys. Plasmas 9, 465 (2002)
Berezhiani, V.I., Mahajan, S.M.: Phys. Rev. E 52, 1968 (1999)
Berezhini, V.I., El-Ashry, M.Y., Mofiz, U.A.: Phys. Rev. E 50, 448 (1994)
Bharuthram, R.: Astrophys. Space Sci. 189, 213 (1992)
Chen, F.F.: Introduction to Plasma Physics and Controlled Fusion. Springer, Berlin (2006)
Fried, B.D., Gould, R.W.: Phys. Fluids 4, 139 (1961)
Ghosh, S., Bharuthram, R.: Astrophys. Space Sci. 314, 121 (2008)
Herman, R.L.: J. Phys. A 23, 4719 (1990)
Hirose, A., Alexeff, I., Jones, W.D.: Krall, N.A., Montgomery, D.: Phys. Lett. A 29, 31 (1969)
Karpman, V.I., Maslov, E.M.: Sov. Phys. JETP 46(2), 281 (1977)
Lighthill, M.J.: Fourier Analysis and Generalized Functions. Cambridge University Press, London (1964)
Mahajan, S.M., Berezhiani, V.I., Miklaszewski: Phys. Plasmas 5, 3264 (1998)
Masood, W., Jehanb, 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).
Ott, E., Sudan, R.N.: Phys. Fluids 12, 2388 (1969)
Ott, E., Sudan, R.N.: Phys. Fluids 13, 1432 (1970)
Popel, S.I., Vladimirov, S.V., Shukla, P.K.: Phys. Plasmas 2, 716 (1995)
Rees, M.J., Gibbons, G.W., Hawking, S.W., Siklaseds, S.: The Early Universe. Cambridge University Press, Cambridge (1983)
Rizzato, F.B.: J. Plasma Phys. 40, 289 (1988)
Saitou, Y., Nakamura, Y.: Phys. Lett. A 343, 397 (2005)
Shah, S.A., Saleem, H.: Phys. Plasmas 16, 022111 (2009)
Shukla, P.K., Mendonca, J.T., Bingham, R.: Phys. Scr. T113, 133 (2004)
Tandberg-Hansen, Emsile, E.: The Physics of Solar Flares, p. 124. Cambridge University Press, Cambridge (1988).
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Ghosh, S., Bharuthram, R. Ion acoustic solitary wave in electron-positron-ion plasma: effect of Landau damping. Astrophys Space Sci 331, 163–168 (2011). https://doi.org/10.1007/s10509-010-0443-6
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DOI: https://doi.org/10.1007/s10509-010-0443-6