Skip to main content
SpringerLink
Log in

Analysis of periodic and solitary waves in a magnetosonic quantum dusty plasma

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

The propagation of nonlinear magnetosonic waves in electron–ion–dust (complex) plasmas has been studied by considering the effects of Bohm potential in the presence of an external magnetic field. By using the quantum hydrodynamic model and applying the reductive perturbation method, the Kadomtsev–Petviashvili (KP) equation is obtained. The compressive structures of magnetosonic solitary waves and periodic travelling waves are studied. The effects of the electron to dust density ratio, the quantum plasma parameter, and the dust equilibrium density on the nonlinear magnetosonic periodic travelling waves are discussed. It is observed that the wave structure is more sensitive to the changes in the ratio of electron to dust densities, as compared to the changes in other physical parameters. The obtained results may be useful for a better understanding of obliquely nonlinear magnetosonic travelling waves of localized structures with a small amplitude in dense magnetized quantum dusty plasmas.

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

Similar content being viewed by others

References

  1. P K Shukla and A Mamun Introduction to Dusty Plasma Physics (New York: CRC Press) (2001)

    Google Scholar 

  2. H-F Liu, S-Q Wang, Z-H Wang, C-Z Li, L Yao and F-Z Yang Phys. Plasmas18 044501 (2011)

    Article  ADS  Google Scholar 

  3. A Abdikian and S Mahmood Phys. Plasmas23 122303 (2016)

    Article  ADS  Google Scholar 

  4. G Manfredi Fields Inst. Commun.46 263 (2005)

    MathSciNet  Google Scholar 

  5. Y Wang, Z Zhou, H Qiu, F Wang and Y Lu Phys. Plasmas19 013704 (2012)

    Article  ADS  Google Scholar 

  6. A Abdikian and Z Ehsan Phys. Lett. A381 2939 (2017)

    Article  ADS  Google Scholar 

  7. M Akbari-Moghanjoughi IEEE Trans. Plasma Sci.38 3336 (2010)

    Article  ADS  Google Scholar 

  8. B Eliasson and P K Shukla Plasma Fusion Res.4 032 (2009)

    Article  ADS  Google Scholar 

  9. P K Shukla and B Eliasson Phys. Usp.53 51 (2010)

    Article  ADS  Google Scholar 

  10. M Hossen and A Mamun Braz. J. Phys.45 200 (2015)

    Article  ADS  Google Scholar 

  11. H Ur-Rehman, S Mahmood and S Hussain Phys. Plasmas24 012106 (2017)

    Article  ADS  Google Scholar 

  12. G Mandal, U N Ghosh and M Asaduzzaman IEEE Trans. Plasma Sci.45 148 (2017)

    Article  ADS  Google Scholar 

  13. W Masood, H Shah, A Mushtaq and M Salimullah J. Plasma Phys.75 217 (2009)

    Article  ADS  Google Scholar 

  14. S Hussain, A Abdykian and S Mahmood Contrib. Plasma Phys.59 1 (2018)

    Google Scholar 

  15. S El-Labany, W El-Taibany and A Atteya Phys. Lett. A382 412 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  16. A Saha and P Chatterjee Astrophys. Space Sci.350 631 (2014)

    Article  ADS  Google Scholar 

  17. A Saha Nonlinear Dyn.87 2193 (2016)

    Article  Google Scholar 

  18. A Abdikian Contrib. Plasma Phys.59 20 (2019)

    Article  Google Scholar 

  19. J Tamang, K Sarkar and A Saha Phys. A505 18 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  20. A Saha and J Tamang Phys. Plasmas24 082101 (2017)

    Article  ADS  Google Scholar 

  21. M Afify, W Moslem and M Hassouba Phys. Plasmas25 052116 (2018)

    Article  ADS  Google Scholar 

  22. A Saha, P Chatterjee and N Pal J. Plasma Phys.81 905810509 (2015)

    Article  Google Scholar 

  23. A Saha and P Chatterjee Eur. Phys. J. Plus130 1 (2015)

    Article  Google Scholar 

  24. S N Chow and J K Hale Methods of Bifurcation Theory (Springer, New York, 1982)

    Book  Google Scholar 

  25. T Kaladze and S Mahmood Phys. Plasmas21 032306 (2014)

    Article  ADS  Google Scholar 

  26. E El-Shamy Phys. Rev. E91 033105 (2015)

    Article  ADS  Google Scholar 

  27. E El-Shamy, R Al-Chouikh, A El-Depsy and N Al-Wadie Phys. Plasmas23 122122 (2016)

    Article  ADS  Google Scholar 

  28. J Tamang and A Saha Z. Naturforsch.A 1 (2019)

  29. A Saha and J Tamang Adv. Space Res.63 1596 (2019)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Arts and Sciences, Department of Mathematics, Isik University, 34980, Sile, Istanbul, Turkey

    Hilmi Demiray

  2. Department of Physics, Malayer University, Malayer, 65719-95863, Iran

    Alireza Abdikian

Authors
  1. Hilmi Demiray
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alireza Abdikian
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hilmi Demiray.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Demiray, H., Abdikian, A. Analysis of periodic and solitary waves in a magnetosonic quantum dusty plasma. Indian J Phys 95, 1255–1261 (2021). https://doi.org/10.1007/s12648-020-01752-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-020-01752-0

Keywords

PACS Nos.

Search

Navigation