Skip to main content
SpringerLink
Log in

Analytical solitary wave solution of dust ion acoustic waves in nonextensive plasma in the framework of damped forced Korteweg–de Vries–Burgers equation

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

Abstract

Dust ion acoustic waves (DIAWs) are investigated analytically in the framework of damped forced Korteweg–de Vries–Burgers (DFKdVB) equation in an unmagnetized collisional dusty plasma consisting of negatively charged stationary dust grains, positively charged ions and q-nonextensive distributed electrons. Reductive perturbation technique is used to obtain the DFKdVB equation for DIAWs. The effects of different physical parameters such as the entropic index (q), ratio of unperturbed number densities of electrons and ions \((\mu )\), dust ion collision frequency \((\nu _{\mathrm{id}0})\), kinematic viscosity (\(\eta _0\)), the speed of the traveling wave \((M_0)\), strength \((f_0)\) and frequency \((\omega )\) of the external periodic force on the analytical DIAWs are shown. The results of the present paper will be useful in laboratory and space 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
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. M Horanyi and D A Mendis J. Geophys. Res. 91 355 (1986)

    Article  ADS  Google Scholar 

  2. M Horanyi and D A Mendis J. Astrophys. 307 800 (1986)

    Article  ADS  Google Scholar 

  3. C K Geortz Rev. Geophys. 27 271 (1989)

    Article  ADS  Google Scholar 

  4. P K Shukla and A A Mamun Introduction to Dusty Plasma Physics (Bristol: Institute of Physics) (2002)

    Book  Google Scholar 

  5. Y Nakamura Phys. Plasmas 9 440 (2002)

    Article  ADS  Google Scholar 

  6. N N Rao, P K Sukla and M Y Yu Planet Space Sci. 32 419 (1994)

    Google Scholar 

  7. F Verheest Waves in Dusty Space Plasmas (Kluwer Academic,Dordrecht) (2000)

    Book  Google Scholar 

  8. P K Sukla and V P Silin Phys. Scr. 45 508 (1992)

    Article  ADS  Google Scholar 

  9. W M Moslem, W F El-Taibany, E K El-Shewy and E F El-Shamy Phys. Plasmas 12 052318(2005)

    Article  ADS  Google Scholar 

  10. H Alinejad Astrophys. Space Sci. 327 131 (2010)

    Article  ADS  Google Scholar 

  11. H Alinejad Astrophys. Space Sci. 334 325 (2011)

    Article  ADS  Google Scholar 

  12. W F El-Taibany, N A El-Bedwely and E F El-Shamy Phys. Plasmas 18 033703 (2011)

    Article  ADS  Google Scholar 

  13. S K El-Labany, W F El-Taibany and M M El-Fayoumy Astrophys. Space Sci. 341 527(2012)

    Article  ADS  Google Scholar 

  14. P K Shukla and A A Mamun IEEE Trans. Plasma Sci. 29 221 (2001)

    Article  ADS  Google Scholar 

  15. K Roy, A P Misra and P Chatterjee Phys. Plasmas 15 032310 (2008)

    Article  ADS  Google Scholar 

  16. L Perek Space Debris 2 123 (2000)

    Article  Google Scholar 

  17. O Havanes, T Aanesan and K Melandso J. Geophys. Res. 95 6581 (1990)

    Article  ADS  Google Scholar 

  18. A Sen, S Tiwari, S Misra and P Kaw Adv. Space Res. 56 429 (2015)

    Article  ADS  Google Scholar 

  19. S Maitra and G Banerjee Phys. Plasmas 21 113707 (2014)

    Article  ADS  Google Scholar 

  20. X Yang, C L Wang, C B Liu, J R Zhang and Y R Shi Phys. Plasmas 19 103705 (2012)

    Article  ADS  Google Scholar 

  21. S I Popel, A P Golub’ and T V Losseva Phys. Rev. E 67 056402 (2003)

    Article  ADS  Google Scholar 

  22. Y Nakamura, A Sarma Phys. Plasmas 8 3921 (2001)

    Article  ADS  Google Scholar 

  23. T V Losseva, S I Popel, A P Golub’, Yu N Izvekova and P K Shukla Phys. Plasmas 19 013703 (2012)

    Article  ADS  Google Scholar 

  24. S Ghosh J. Plasma Phys. 71 519 (2005)

    Article  ADS  Google Scholar 

  25. M Shalaby, S K El-Labany, E F El-Shamy and M A Khaled Astro. Space Sci. 326 273 (2010)

    Article  ADS  Google Scholar 

  26. M R Gupta, S Sarkar, S Ghosh, M Debnath, and M Khan Phys. Rev. E 63 046406 (2001)

    Article  ADS  Google Scholar 

  27. H Alinejad and M Shahmansouri, IEEE Trans. Plasma Sci. 47, 4378 (2019)

    Article  ADS  Google Scholar 

  28. S Sultana Phys. Lett. A 382 1368 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  29. Y Li, J X Ma and J Li Phys. Plasmas 11 1366 (2004)

    Article  ADS  Google Scholar 

  30. P Chetterjee, R Ali and A Saha Z. Naturaforsch. 73 151 (2018)

    Article  ADS  Google Scholar 

  31. R Ali, A Saha and P Chatterjee Phys. Plasmas 24 122106 (2017)

    Article  ADS  Google Scholar 

  32. S Chowdhury, L Mandi and P Chatterjee Phys. Plasmas 25 042112 (2018)

    Article  ADS  Google Scholar 

  33. N Paul, K K Mondal and P Chatterjee Z. Naturforsch. 74 861 (2019)

    Article  ADS  Google Scholar 

  34. L Mandi, K K Mondal and P Chatterjee, Eur. Phys. J. Spec. Top. 228 2753 (2019)

    Article  Google Scholar 

  35. A S Bains, M Tribeche and T S Gill Phys. Plasmas 18 022108 (2011)

    Article  ADS  Google Scholar 

  36. H Washimi and T Tanaiuti Phys. Rev. Lett. 17 996 (1966)

    Article  ADS  Google Scholar 

  37. E Infeld and G Rowlands Nonlinear Waves, Soliton and Chaos (Cambridge University press, Cambridge) (1990)

    MATH  Google Scholar 

  38. A Saha Nonlinear Dyn. 87 2193 (2017)

    Article  Google Scholar 

Download references

Acknowledgements

The authors are grateful to Dr. Asit Saha, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo, East-Sikkim 737136, India, for his kind cooperation.

Author information

Authors and Affiliations

  1. Department of Mathematics, Siksha Bhavana, Visva-Bharati, Santiniketan, 731235, India

    Niranjan Paul, Rustam Ali & Prasanta Chatterjee

  2. Department of Mathematics, Cooch Behar Panchanan Barma University, Cooch Behar, 736101, India

    Kajal Kumar Mondal

  3. Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipaul University, Majitar, Rangpo, East Sikkim, 737136, India

    Rustam Ali

Authors
  1. Niranjan Paul
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kajal Kumar Mondal
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Rustam Ali
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Prasanta Chatterjee
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Niranjan Paul.

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

Paul, N., Mondal, K.K., Ali, R. et al. Analytical solitary wave solution of dust ion acoustic waves in nonextensive plasma in the framework of damped forced Korteweg–de Vries–Burgers equation. Indian J Phys 95, 2855–2863 (2021). https://doi.org/10.1007/s12648-020-01929-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-020-01929-7

Keywords

Search

Navigation