Skip to main content
Log in

Modulation of multi-dimensional waves in anisotropic magnetized plasma

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

One of the generic nonlinear mechanism which was so far unexplored is the oblique amplitude modulation of ion acoustic waves (IAWs) in anisotropic magnetoplasma with positive ions having anisotropic thermal pressure and Maxwellian electrons. The three-dimensional (3D) nonlinear Schrödinger equation (NLSE) for the wave potential is derived via a multi-scales perturbation technique. The criteria under which the 3D modulational instability (MI) develops are discussed. The upshots of relevant plasma parameters, specifically, the ion pressure anisotropy on the dynamics of 3D MI of IAWs as well as the instability growth rate are investigated in detail. The bearing to peculiar plasma environments is also highlighted.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. T. Taniuti, N. Yajima, J. Math. Phys. 10, 1369 (1969)

    Article  ADS  Google Scholar 

  2. N. Asano, T. Taniuti, N. Yajima, J. Math. Phys. 10, 2020 (1969)

    Article  ADS  Google Scholar 

  3. N.S. Saini, I. Kourakis, Phys. Plasmas 15, 123701 (2008)

    Article  ADS  Google Scholar 

  4. R. Sabry, W.M. Moslem, E.F. El-Shamy, P.K. Shukla, Phys. Plasmas 18, 032302 (2011)

    Article  ADS  Google Scholar 

  5. S.A. El-Tantawy, A.M. Wazwaz, A. Rahman, Phys. Plasmas 24, 022126 (2017)

    Article  ADS  Google Scholar 

  6. S. Watanabe, J. Plasma Phys. 17, 487 (1977)

    Article  ADS  Google Scholar 

  7. I. Kourakis, P.K. Shukla, Eur. Phys. J. D 28, 109–117 (2004)

    Article  ADS  Google Scholar 

  8. I. Kourakis, P.K. Shukla, Phys Scr. 69, 316–327 (2004)

    Article  ADS  Google Scholar 

  9. S. Sultana, I. Kourakis, Plasma Phys. Control. Fusion 53, 045003 (2011)

    Article  ADS  Google Scholar 

  10. J.K. Xue, Phys. Plasmas 12, 062313 (2005)

    Article  ADS  Google Scholar 

  11. A. Rahman, M. McKerr, W.F. El-Taibany, I. Kourakis, A. Qamar, Phys. Plasmas 22, 022305 (2015)

    Article  ADS  Google Scholar 

  12. T.S. Gill, C. Bedi, A.S. Bains, Phys. Scr. 81, 055503 (2010)

    Article  ADS  Google Scholar 

  13. H. Gharaee, S. Afghah, H. Abbasic, Phys. Plasmas 18, 032116 (2011)

    Article  ADS  Google Scholar 

  14. S.K. El-Labany, E.K. El-Shewy, H.N. Abd El-Razek, A.A. El-Rahman, Adv. Sp. Res. 59, 1962 (2017)

    Article  ADS  Google Scholar 

  15. P. Eslami, M. Mottaghizadeh, Indian J. Phys. 88, 521 (2014)

    Article  ADS  Google Scholar 

  16. S. Dalui, A. Bandyopadhyay, Astrophys Space Sci. 364, 182 (2019)

    Article  ADS  Google Scholar 

  17. A.P. Shalini, N.S. Misra, J. Saini, Theor. Appl. Phys. 11, 217 (2017)

    Article  Google Scholar 

  18. W. Baumjohann, R.A. Treumann, Basic Space Plasma Physics (Imperial College Press, London, 1997)

    MATH  Google Scholar 

  19. G.F. Chew, M.L. Goldberger, F.E. Low, Proc. R. Soc. Lond. A 236, 112 (1956)

    Article  ADS  Google Scholar 

  20. G.K. Parks, Physics of Space Plasmas (Perseus USA, 1991)

  21. C.R. Choi, C.M. Ryu, D.Y. Lee, N.C. Lee, Y.H. Kim, Phys. Lett. A 364, 297 (2007)

    Article  ADS  Google Scholar 

  22. R.E. Denton, B.J. Anderson, S.P. Gary, S.A. Fuselier, J. Geophys. Res. 99, 11 (1994)

    Article  Google Scholar 

  23. G. Noci, J.L. Kohl, G.L. Withbroe, Astrophys. J. 315, 706 (1987)

    Article  ADS  Google Scholar 

  24. J. Seough, P.H. Yoon, K. Kim, D. Lee, Phys. Rev. Lett. 110, 071103 (2013)

    Article  ADS  Google Scholar 

  25. M. Adnan, A. Qamar, S. Mahmood, I. Kourakis, Phys. Plasmas 24, 032114 (2017)

    Article  ADS  Google Scholar 

  26. M. Khalid, A. Rahman, Astrophys. Space Sci. 364, 28 (2019)

    Article  ADS  Google Scholar 

  27. M. Khalid, F. Hadi, A. Rahman, J. Phys. Soc. Jpn. 88, 114501 (2019)

    Article  ADS  Google Scholar 

  28. P. Chatterjee, T. Saha, C.-M. Ryu, Phys. Plasmas 15, 123702 (2008)

    Article  ADS  Google Scholar 

  29. M. Adnan, G. Williams, A. Qamar, S. Mahmood, I. Kourakis, Eur. Phys. J. D 68, 247 (2014)

    Article  ADS  Google Scholar 

  30. M.S. Nakwacki, E.M. Gouveia Dal Pino, G. Kowal, R. Santos-Lima, J. Phys.: Conf. Ser. 370, 012043 (2012)

    Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the constructive suggestions of the anonymous referees which significantly improved the quality of the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ata ur Rahman.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khalid, M., Hadi, F. & Rahman, A.u. Modulation of multi-dimensional waves in anisotropic magnetized plasma. Eur. Phys. J. Plus 136, 1061 (2021). https://doi.org/10.1140/epjp/s13360-021-02063-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-021-02063-x

Navigation