Skip to main content

Dust-Ion-Acoustic Multisoliton Interactions in the Presence of Superthermal Particles

  • Conference paper
  • First Online:
Nonlinear Dynamics and Applications

Abstract

The propagation and interaction of dust-ion-acoustic solitons in the plasma composed of superthermal electrons and positrons, positively charged inertial ion, and static dust particles is examined in this work. The reductive perturbation method for small amplitude is adopted to derive the KdV equation. Hirota’s bilinear method has been employed to calculate the multisoliton solutions of the KdV equation. The role of various plasma parameters on the soliton has been studied. It has been observed that the superthermality of the electrons and positrons and their concentration can alter the nature of the solitons. The presence of dust particles also influence the solitary structures. These results can be used to understand the nonlinear structures in different space and atmospheric environment, e.g. in the Van Allen radiation belt.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Rao, N.N., Shukla, P.K., Yu, M.Y.: Dust acoustic waves in dusty plasmas. Planet. Space Sci. 38, 543–546 (1990). https://doi.org/10.1016/0032-0633(90)90147-I

    Article  ADS  Google Scholar 

  2. Baluku, T.K., Hellberg, M.A., Mace, R.L.: Electron acoustic waves in double-kappa plasmas: application to Saturn’s magnetosphere. J. Geophys. Res. 116, A04227 (2011). https://doi.org/10.1029/2010JA016112

    Article  ADS  Google Scholar 

  3. Ghorui, M.K., Samanta, U.K., Maji, T.K., Chatterjee, P.: Head-on collisions of two type of dust-acoustic solitons in a magnetized plasma. Astrophys. Space Sci. 352, 159–169 (2014). https://doi.org/10.1007/s10509-014-1812-3

    Article  ADS  Google Scholar 

  4. Dutta, D., Goswami, K.S.: Dust ion acoustic double layer in the presence of superthermal electrons. Indian J. Phys. 93, 257–265 (2019). https://doi.org/10.1007/s12648-018-1279-0

    Article  ADS  Google Scholar 

  5. Dutta, D., Goswami, K.S.: Electron acoustic double layers in a magnetized plasma in the presence of superthermal particles. J. Plasma Phys. 85, 905850308 (2019). https://doi.org/10.1017/S0022377819000424

    Article  Google Scholar 

  6. Dutta, D., Adhikari, S., Moulick, R., Goswami, K.S.: Evolution of dust ion acoustic soliton in the presence of superthermal electrons. Phys. Scr. 94, 125210 (2019). https://doi.org/10.1088/1402-4896/ab3a5b

  7. Sahu, B., Roychoudhury, R.: Two-soliton solution of ion acoustic solitary waves in nonplanar geometry. Astrophys. Space Sci. 345, 91–98 (2013). https://doi.org/10.1007/s10509-013-1378-5

    Article  ADS  Google Scholar 

  8. Jahangir, R., Masood, W.: Interaction of electron acoustic waves in the presence of superthermal electrons in terrestrial magnetosphere. Phys. Plasmas 27, 042105 (2020). https://doi.org/10.1063/1.5143400

  9. Shukla, P.K., Mamun, A.A.: Introduction to dusty plasma physics, 1st edn. IOP, Bristol (2002)

    Book  Google Scholar 

  10. Banerjee, G., Maitra, S.: Arbitrary amplitude dust ion acoustic solitons and double layers in the presence of nonthermal positrons and electrons. Phys. Plasmas 23, 123701 (2016). https://doi.org/10.1063/1.4971223

  11. Sarri, G., et al.: Generation of neutral and high-density electron-positron pair plasmas in the laboratory. Nat. Commun. 6, 6747 (2015). https://doi.org/10.1038/ncomms7747

    Article  ADS  Google Scholar 

  12. Mozer, F.S., Bale, S.D., Bonnell, J.W., Chaston, C.C., Roth, I., Wygant, J.: Megavolt parallel potentials arising from double-layer streams in the earth’s outer radiationbelt. Phys. Rev. Lett. 111, 1–5 (2013). https://doi.org/10.1103/PhysRevLett.111.235002

  13. Dillard, C.S., Vasko, I.Y., Mozer, F.S., Agapitov, O.V., Bonnell, J.W.: Electron-acoustic solitary waves in the Earth’s inner magnetosphere. Phys. Plasmas 25, 022905 (2018). https://doi.org/10.1063/1.5007907

  14. Hirota, R.: Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons. Phys. Rev. Lett. 27, 1192 (1971). https://doi.org/10.1103/PhysRevLett.27.1192

    Article  ADS  MATH  Google Scholar 

  15. Saini, N.S., Singh, K.: Head-on collision of two dust ion acoustic solitary waves in a weakly relativistic multicomponent superthermal plasma. Phys. Plasmas 23, 103701 (2016). https://doi.org/10.1063/1.4963774

  16. Taniuti, T., Wei, C.C.: Reductive perturbation method in nonlinear wave propagation. J. Phys. Soc. Jpn. 24, 941–946 (1968). https://doi.org/10.1143/JPSJ.24.941

  17. Marchant, T.R., Smyth, N.F.: Soliton interaction for the extended Kortewege-de Vries equation. IMA J. Appl. Math. 56, 157–176 (1996). https://doi.org/10.1093/imamat/56.2.157

    Article  ADS  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dharitree Dutta .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Dutta, D., Goswami, K.S. (2022). Dust-Ion-Acoustic Multisoliton Interactions in the Presence of Superthermal Particles. In: Banerjee, S., Saha, A. (eds) Nonlinear Dynamics and Applications. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-99792-2_25

Download citation

Publish with us

Policies and ethics