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Study of small amplitude ion-acoustic solitary wave structures and amplitude modulation in e–p–i plasma with streaming ions

  • Jyotirmoy Goswami (a1), Swarniv Chandra (a1) (a2) and B. Ghosh (a1)


By using reductive perturbation technique we have studied the linear and non-linear properties of ion-acoustic solitary structures in a three-component plasma containing non-thermal electrons and Boltzmann positrons and a comparatively cold ion which has got a streaming motion. The Korteweg–de Vries equation has been obtained and the dependence of small amplitude solitary structures on various plasma parameters such as streaming velocity (v0), non-thermal parameter (β), reciprocal of electron temperature (χ), positron density (p), Mach number (M), and ion density (δ) have been studied. The possibility of formation of enveloping soliton and its characteristic features are further investigated by deriving the non-linear Schrödinger equation.


Corresponding author

Author for correspondence: Swarniv Chandra, Department of Physics, Jadavpur University, Jadavpur, Kolkata-32, India. E-mail:


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Bala, P and Kaur, S (2013) Dispersion relation in a plasma consisting of oppositely charged ions with non-Maxwellian electrons, AIP conference proceedings, 1536, 307.
Baluku, TK and Hellberg, MA (2011) Ion acoustic solitary waves in an electron–positron–ion plasma with non-thermal electrons. Plasma Physics and Controlled Fusion 53, 095007.
Baumjohann, W and Treumann, RA (1997) Basic Space Plasma Physics. London: Imperial College Press.
Berezhiani, VI, El-Ashry, MY and Mofiz, UA (1994) Theory of strong electromagnetic wave propagation in an electron-positron-ion plasma. Physical Review E 50, 448452.
Cairns, RA, Mammun, AA, Bingham, R, Bostrom, R, Dendy, RO, Nairn, CMC and Shukla, PK (1995) Electrostatic solitary structures in non-thermal plasmas. Geophysical Research Letters 22, 27092712.
Esfandyari-Kalejahi, A, Kourakis, I, Mehndipoor, M and Shukla, PK (2006) Electrostatic mode envelope excitations in e–p–i plasmas application in warm pair ion plasmas with a small fraction of stationary ions. Journal of Physics A: Mathematical and General 39, 1381713830.
Gahn, C, Tsakiris, GD, Pretzler, G, Witte, KJ, Delfin, C, Wahlstrom, CG and Habs, D (2000) Generating positrons with femtosecond-laser pulses. Applied Physics Letters 77, 26622664.
Ghosh, S and Bharuthram, R (2008) Ion acoustic solitons and double layers in electron positron ion plasmas with dust particulates. Astrophysics and Space Science 314, 121127.
Gibbons, GW, Hawking, SW and Siklos, S (1983) The Very Early Universe. Cambridge: Cambridge University Press.
Gill, TS, Kaur, H and Saini, NS (2003) Ion-acoustic solitons in a plasma consisting of positive and negative ions with nonisothermal electrons. Physics of Plasmas 10, 39273932.
Gill, TS, Bala, P, Kaur, H, Saini, NS, Bansal, S and Kaur, J (2004) Ion-acoustic solitons and double-layers in a plasma consisting of positive and negative ions with non-thermal electrons. European Journal of Physics D 31, 91100.
Gill, TS, Singh, A, Kaur, H, Saini, NS and Bala, P (2007) Ion- acoustic solitons in weakly relativistic plasma containing electronpositron and ion. Physics Letters A 361, 364367.
Helander, P and Ward, DJ (2003) Positron creation and annihilation in tokamak plasmas with runaway electrons. Physical Review Letters 90, 135004–4.
Jehan, N, Salahuddin, M and Mirza, AM (2009) Oblique modulation of ion-acoustic waves and envelope solitons in electron–positron–ion plasma. Physics of Plasmas 16, 062305–7.
Kourakis, I and Shukla, PK (2005) Modulated dust-acoustic wave packets in a plasma with non-isothermal electrons and ions. Journal of Plasma Physics 71, 185201.
Kourakis, I, Esfandyari-Kalejahi, A, Mehdipoor, M and Shukla, PK (2006) Modulated electrostatic modes in pair plasmas: Modulational stability profile and envelope excitations. Physics of Plasmas 13, 052117–9.
Lee, NC and Choi, CR, (2007) Ion-acoustic solitary waves in a relativistic plasma. Physics of Plasmas 14, 022307.
Liang, EP, Wilks, SC and Tabak, M (1998) Pair production by ultra-intense lasers. Physical Review Letters 81, 48874890.
Ma, CY and Summers, D (1998) Formation of power-law energy spectra in space plasmas by stochastic acceleration due to whistler-mode waves. Geophysical Research Letters 25(21), 4099.
Mahmood, S and Akhtar, N (2008) Ion acoustic solitary waves with adiabatic ions in magnetized electron-positron-ion plasmas. The European Physical Journal D 49, 217221.
Marsch, E, Mühlhäuser, K-H, Schwenn, R, Rosenbauer, H, Pilipp, W and Neubauer, FM (1982) Solar wind protons: Three-dimensional velocity distributions and derived plasma parameters measured between 0.3 and 1 AU Journal of Geophysical Research 87(Al), 52.
Michel, FC (1982) Theory of pulsar magnetospheres. Review of Modern Physics, 54, 166.
Michel, FC (1991) Theory of Neutron Star Magnetospheres. University of Chicago Press, Chicago.
Miller, HR and Witta, PJ (1987) Active Galactic Nuclei. Berlin: Springer-Verlag.
Mushtaq, A and Shah, HA (2005) Effects of positron concentration, ion temperature, and plasma value on linear and nonlinear two-dimensional magnetosonic waves in electron-positron-ion plasmas. Physics of Plasmas 12, 012301012311.
Nakamura, Y and Sarma, A (2001) Observation of ion-acoustic solitary waves in a dusty plasma. Physics of Plasmas 8, 39213926.
Nakamura, Y, Bailung, H and Shukla, PK (1999) Observation of ion- acoustic shocks in dusty plasma. Physical Review Letters 83, 16021605.
Nejoh, Y (1996a) The effect of the ion temperature on large amplitude ion-acoustic waves in electron-positron-ion plasma. Physics of Plasmas 3, 14471451.
Nejoh, Y (1996b) Effects of positron density and temperature on large amplitude ion-acoustic waves in electron-positron-ion plasma. Australian Journal of Physics 50, 309317.
Pakzad, HR (2009) Ion acoustic solitary waves in plasma with nonthermal electron and positron. Physics Letters A 373, 847850.
Pillay, R and Bharuthram, R (1992) Large amplitude solitons in multi-species electron-positron plasma. Astrophysics and Space Science 198, 8593.
Popel, SI, Vladimirov, SV and Shukla, PK (1995) Ion-acoustic solitons in electron–positron–ion plasmas. Physics of Plasmas 2, 716719.
Saberian, E, Esfandyari-Kalejahi, A and Akbari-Moghanjoughi, M (2011) Propagation of ion-acoustic solitary waves in a relativistic electron-positron-ion plasma. Canadian Journal of Physics 89(3), 299309.
Salahuddin, M, Saleem, H and Saddiq, M (2002) Ion-acoustic envelope solitons in electron-positron-ion plasmas. Physical Review E 66, 036407–4.
Singh, SV and Lakhina, GS (2004) Electron acoustic solitary waves with non-thermal distribution of electrons. Nonlinear Processes in Geophysics 11, 275279.
Summers, D and Thorne, RM (1991) The modified plasma dispersion function. Phys. Fluids B 3, 1835.
Summers, D and Thorne, RM (1992) A new tool for analyzing microinstabilities in space plasmas modeled by a generalized Lorentzian (kappa) distribution, Journal of Geophysical Research 97(A11), 16827.
Summers, D, Xue, S and Thorne, RM (1994) Calculation of the dielectric tensor for a generalized Lorentzian (kappa) distribution function. Physics of Plasmas 1, 2012.
Tang, RA and Xue, JK (2004) Nonthermal electrons and warm ions effects on oblique modulation of ion-acoustic waves. Physics of Plasmas 11, 39393944.
Verheest, F and Pillay, SR (2008) Dust-acoustic solitary structures in plasmas with nonthermal electrons and positive dust. Nonlinear Processes in Geo- Physics 15, 551555.
Watanabe, S (1977) Self-modulation of a nonlinear ion wave packet. Journal of Plasma Physics 17, 487501.
Zabusky, NJ and Kruskal, MD (1965) Interaction of solitons in a collision- less plasma and the recurrence of initial states. Physical Review Letters 15, 240243.


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Study of small amplitude ion-acoustic solitary wave structures and amplitude modulation in e–p–i plasma with streaming ions

  • Jyotirmoy Goswami (a1), Swarniv Chandra (a1) (a2) and B. Ghosh (a1)


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