Skip to main content
SpringerLink
Log in

On the speed and shape of electron acoustic solitary waves

  • Original Article
  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

Electron acoustic solitary waves in a collisionless plasma consisting of a cold electron fluid and non-thermal hot electrons are investigated by a direct analysis of the field equations. The Sagdeev potential is obtained in terms of electron acoustic speed by simply solving an algebraic equation. It is found that the amplitude and width of the electron acoustic solitary waves as well as the parametric regime where the solitons can exist are very sensitive to the population of energetic non-thermal hot electrons. The soliton and double layer solutions are obtained as a small-amplitude approximation. The effect of non-thermal hot electrons is found to significantly change the properties of the electron acoustic solitary waves (EAWs). A comparison with the Viking Satellite observations in the day side auroral zone is also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Borhanian, J., Shahmansouri, M.: Spherical electron acoustic solitary waves in plasma with suprathermal electrons. Astrophys. Space Sci. 342, 401 (2012)

    Article  ADS  Google Scholar 

  • Cairns, R.A., Mamun, A.A., Bingham, R., Bostrom, R., Dendy, R.O., Nairn, C.M.C., Shukla, P.K.: Electrostatic solitary structures in non-thermal plasmas. Geophys. Res. Lett. 22, 2709 (1995)

    Article  ADS  Google Scholar 

  • Cattell, C., Bergmann, R., Sigsbee, K., Carlson, C., Chatson, C., Ergun, R., McFadden, J., Mozer, F.S., Temerin, M., Strangeway, R., Elphic, R., Kistler, L., Moebius, E., Tang, L., Klumpar, D., Pfaff, R.: The association of electrostatic ion cyclotron waves, ion and electron beams and field-aligned currents: FAST observations of an auroral zone crossing near midnight. Geophys. Res. Lett. 25, 2053–2056 (1998)

    Article  ADS  Google Scholar 

  • Chatterjee, P., Das, B.: Effect of electron inertia on the speed and shape of ion-acoustic solitary waves in plasma. Phys. Plasmas 11(7), 3616 (2004)

    Article  ADS  Google Scholar 

  • Derfler, H., Simonen, T.C.: Higher-order Landau modes. Phys. Fluids 12, 269–278 (1969)

    Article  ADS  MATH  Google Scholar 

  • Dubouloz, N., Pottelette, R., Malingre, M., Holmgren, G., Lindqvist, P.A.: Detailed analysis of broadband electrostatic noise in the dayside auroral zone. J. Geophys. Res. 96, 3565 (1991)

    Article  ADS  Google Scholar 

  • Dubouloz, N., Treumann, R.A., Pottelette, R., Malingre, M.: Turbulence generated by a gas of electron acoustic solitons. J. Geophys. Res. 98, 17415–17422 (1993)

    Article  ADS  Google Scholar 

  • El-Shewy, E.K.: Linear and nonlinear properties of electron-acoustic solitary waves with non-thermal electrons. Chaos Solitons Fractals 31, 1020 (2007a)

    Article  ADS  Google Scholar 

  • El-Shewy, E.K.: Higher-order solution of an electron-acoustic solitary waves with non-thermal electrons. Chaos Solitons Fractals 34, 628 (2007b)

    Article  ADS  MATH  Google Scholar 

  • Elwakil, S.A., El-Shewy, E.K., Zahran, M.A.: Nonlinear electron-acoustic solitary waves in a relativistic electron-beam plasma system with non-thermal electrons. Phys. Scr. 75, 803 (2007)

    Article  ADS  MATH  Google Scholar 

  • Elwakil, S.A., El-Shewy, E.K., Abulwafa, E.M., Abd-El-Hamid, H.M., Solitary, explosive and periodic solutions for electron acoustic solitary waves with non-thermal hot ions. Adv. Space Res. 48, 1578–1590 (2011a)

    Article  ADS  Google Scholar 

  • Elwakil, S.A., El-Shewy, E.K., Abulwafa, E.M., Mahmoud, A.A., Time-fractional KdV equation for plasma of two different temperature electrons and stationary ion. Phys. Plasmas 18, 092116 (2011b)

    Article  ADS  Google Scholar 

  • Epstein, M., Johnston, C.: Improved solution for solitary waves in arteries. J. Math. Biol. 39, 1 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  • Ergun, R.E., Carlson, C.W., Muschietti, L., Roth, I., McFadden, J.P.: Properties of fast solitary structures. Nonlinear Process. Geophys. 6, 187–194 (1999). doi:10.5194/npg-6-187

    Article  ADS  Google Scholar 

  • Ikezawa, S., Nakamura, Y.: Observation of electron plasma waves in plasma of two-temperature electrons. J. Phys. Soc. Jpn. 50, 962 (1981)

    Article  ADS  Google Scholar 

  • Johnston, C.R., Epstein, M.: On the exact amplitude, speed and shape of ion-acoustic waves. Phys. Plasmas, 7(3), 906 (2000)

    Article  ADS  Google Scholar 

  • Kakad, A.P., Singh, S.V., Reddy, R.V., Lakhina, G.S., Tagare, S.G., Verheest, F.: Generation mechanism for electron acoustic solitary waves. Phys. Plasmas 14, 052305 (2007)

    Article  ADS  Google Scholar 

  • Lakhina, G.S., Singh, S.V., Kakad, A.P., Goldstein, M.L., Vinas, A.F., Pickett, J.S.: A mechanism for electrostatic solitary structures in the Earth’s magnetosheath. J. Geophys. Res. 114, A09212 (2009). doi:10.1029/2009JA014306

    Article  ADS  Google Scholar 

  • Lakhina, G.S., Singh, S.V., Kakad, A.P.: Ion- and electron-acoustic solitons and double layers in multi-component space plasmas. Adv. Space Res. 47, 1558–1567 (2011)

    Article  ADS  Google Scholar 

  • Maitra, S., Roychoudhury, R.: Speed and shape of dust acoustic solitary waves. Phys. Plasmas 10, 2230 (2003)

    Article  ADS  Google Scholar 

  • Malfliet, W., Wieërs, E.: The theory of nonlinear ion-acoustic waves revisited. J. Plasma Phys. 56, 441 (1996)

    Article  ADS  Google Scholar 

  • Mamun, A.A., Shukla, P.K.: Electron-acoustic solitary waves via vortex electron distribution. J. Geophys. Res. 107(A7), 1135 (2002)

    Article  Google Scholar 

  • Mannan, A., Mamun, A.A.: Planar electron-acoustic solitary waves and double layers in a two-electron-temperature plasma with nonthermal ions. Astrophys. Space Sci. 340, 109 (2012)

    Article  ADS  Google Scholar 

  • Miyake, T., Omura, Y., Matsumoto, H.: Electrostatic particle simulations of solitary waves in the auroral region. J. Geophys. Res. 105, 23239–23249 (2000)

    Article  ADS  Google Scholar 

  • Pakzad, H.R., Tribeche, M.: Electron-acoustic solitons in plasma with nonthermal electrons. Astrophys. Space Sci. 330, 95 (2010)

    Article  ADS  MATH  Google Scholar 

  • Pottelette, R., Ergun, R.E., Truemann, R.A., Berthomier, M., Carlson, C.W., McFadden, J.P., Roth, I.: Modulated electron-acoustic waves in auroral density cavities: FAST observations. Geophys. Res. Lett. 26, 2629–2632 (1999)

    Article  ADS  Google Scholar 

  • Sahu, B., Roychoudhurya, R.J.: Electron acoustic solitons in a relativistic plasma with nonthermal electrons. Phys. Plasmas 13, 072302 (2006)

    Article  ADS  Google Scholar 

  • Shuchy, S.T., Mannan, A., Mamun, A.A.: Cylindrical and spherical electronacoustic gardner solitons and double layers in a two electron temperature plasma with nonthermal ions. JETP Lett. 95(6), 282 (2012)

    Article  ADS  Google Scholar 

  • Shukla, P.K., Mamun, A.A., Eliasson, B.: 3D electron-acoustic solitary waves introduced by phase space electron vortices in magnetized space plasmas. Geophys. Res. Lett. 31, L07803 (2004)

    Article  ADS  Google Scholar 

  • Singh, S.V., Lakhina, G.S.: Electron acoustic solitary waves with non-thermal distribution of electrons. Nonlinear Process. Geophys. 11, 275 (2004)

    Article  ADS  Google Scholar 

  • Singh, S.V., Reddy, R.V., Lakhina, G.S.: Broadband electrostatic noise due to nonlinear electron-acoustic waves. Adv. Space Res. 28, 1643–1648 (2001)

    Article  ADS  Google Scholar 

  • Washimi, H., Taniuti, T.: Propagation of ion-acoustic solitary waves of small amplitude. Phys. Rev. Lett. 17, 996 (1966)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Theoretical Physics Group, Faculty of Science, Mansoura University, Mansoura, Egypt

    E. K. El-Shewy & H. G. Abdelwahed

  2. College of science and Humanitarian Studies, Physics Department, Salman Bin AbdulAziz University, Al-kharj, Saudi Arabia

    H. G. Abdelwahed

Authors
  1. E. K. El-Shewy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. G. Abdelwahed
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. K. El-Shewy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

El-Shewy, E.K., Abdelwahed, H.G. On the speed and shape of electron acoustic solitary waves. Astrophys Space Sci 344, 167–173 (2013). https://doi.org/10.1007/s10509-012-1326-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10509-012-1326-9

Keywords

Search

Navigation