Skip to main content
SpringerLink
Log in

Structural Variations of Ion-Acoustic Solitons

  • Conference paper
  • First Online:
Nonlinear Dynamics and Applications

Part of the book series: Springer Proceedings in Complexity ((SPCOM))

Abstract

In this paper, we have presented our investigation on the variation in the structure of ion-acoustic solitons due to variation of densities in the presence of isothermal electrons in the plasma. We have considered the standard ion density profile and its variations and studied the effects of density variation on solitons. We have considered the governing fluid equations of plasma and derived the modified Kadomtsev–Petviashvili (KP) equation using the reductive perturbation technique (RPT). The solution of the KP equation indicates the variation in soliton structures.

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

Access this chapter

Log in via an institution
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. Washimi, H., Taniuti, T.: Propagation of ion-acoustic solitary waves of small amplitude. Phys. Rev. Lett. 17, 996–998 (1966)

    Article  ADS  Google Scholar 

  2. Nishikawa, N., Kaw, K.: Propagation of solitary ion-acoustic waves in inhomogeneous plasmas. Phys. Lett. 50(A), 455–456 (1975)

    Google Scholar 

  3. Kuehl, H.H.: Reflection of an ion-acoustic soliton by plasma inhomogeneities. Phys. Fluids 26(6), 1577–1583 (1983)

    Article  ADS  Google Scholar 

  4. Kuehl, H.H., Imen, K.: Finite amplitude ion-acoustic solitons in weakly inhomogeneous plasmas. Phys. Fluids 28, 2375–2381 (1985)

    Article  ADS  Google Scholar 

  5. Nejoh, Y.: The effect of the ion temperature on the ion-acoustic solitary waves in a collisionless relativistic plasma. J. Plasma Phys. 37(3), 487–495 (1987)

    Article  ADS  Google Scholar 

  6. Singh, S., Dahiya, R.P.: Effect of ion temperature and plasma density on an ion-acoustic soliton in a collisionless relativistic plasma: an application to radiation belts. Phys. Fluids B 2(5), 901–906 (1990)

    Article  ADS  Google Scholar 

  7. Singh, S., Dahiya, R.P.: Effect of zeroth-order density inhomogeneity on ion-acoustic soliton reflection in a finite ion temperature plasma. Phys. Fluids B 3(1), 255–258 (1991)

    Article  ADS  Google Scholar 

  8. Singh, S., Dahiya, R.P.: Propagation characteristics and reflection of an ion-acoustic soliton in an inhomogeneous plasma having warm ions. J. Plasma Phys. 41(1), 185–197 (1989)

    Article  ADS  Google Scholar 

  9. Malik, H.K., Dahiya, R.P.: Ion acoustic solitons in finite ion temperature inhomogeneous plasmas having negative ions. Phys. Plasmas 1(9), 2872–2875 (1994)

    Article  ADS  Google Scholar 

  10. Singh, D.K., Malik, H.K.: Soliton reflection in a negative ion containing plasma: Effect of magnetic field and ion temperature. Phys. Plasmas 13(8), 082104(1–10) (2006)

    Google Scholar 

  11. Chauhan, S.S., Malik, H.K., Dahiya, R.P.: Reflection of ion acoustic solitons in a plasma having negative ions. Phys. Plasmas 3(11), 3932–3938 (1996)

    Article  ADS  Google Scholar 

  12. Singh, D.K., Malik, H.K.: Modified Korteweg-de Vries soliton evolution at critical density of negative ions in an inhomogeneous magnetized cold plasma. Phys. Plasmas 14(6), 062113 (2007)

    Article  ADS  Google Scholar 

  13. Xiao, D., Ma, J. X., Li, Y., Xia, Y., Yu, M. Y.: Evolution of nonlinear dust-ion-acoustic waves in an inhomogeneous plasma. Phys. Plasmas 13(5), 052308(1–7) (2006)

    Google Scholar 

  14. Singh, D.K., Malik, H.K.: Modified Korteweg-de Vries soliton evolution at critical density of negative ions in an inhomogeneous magnetized cold plasma. Phys. Plasmas 14(6), 112103(1–8) (2007)

    Google Scholar 

  15. Hellberg, M.A., Verheest, F.: Dust acoustic solitons in plasmas with kappa-distributed electrons and/or ions. Phys. Plasmas 15(12), 062307(1–11) (2008)

    Google Scholar 

  16. Baluku, T.K., Hellberg, M.A., Kourakis, I., Saini, N.S.: Dust ion acoustic solitons in a plasma with kappa-distributed electrons. Phys. Plasmas 17(5), 053702(1–11) (2010)

    Google Scholar 

  17. Kakad, A., Omura, K., Kakad, B.: Phys. Plasmas 20(6), 062103(1–13) (2013)

    Google Scholar 

  18. Gogoi, L.B., Deka, P.N.: Solitary waves in weakly inhomogeneous plasma with nonthermal electrons. Int. J. Appl. Eng. Res. 93(1), 51–64 (2015)

    MATH  Google Scholar 

  19. Mukherjee, A., Janaki, M.S., Kundu, A.: Bending of solitons in weak and slowly varying inhomogeneous plasma. Phys. Plasmas 22(12), 122114(1–7) (2015)

    Google Scholar 

  20. Gogoi, L.B., Deka, P.N.: Propagation of dust acoustic solitary waves in inhomogeneous plasma with dust charge fluctuations. Phys. Plasmas 24(3), 033708(1–6) (2017)

    Google Scholar 

  21. Zhou, C., Hutchinson, I.H.: Dynamics of a slow electron hole coupled to an ion-acoustic soliton. Phys. Plasmas 25(3), 0823039(1–13) (2018)

    Google Scholar 

  22. Wang, F.P., Zhang, J.F., Gao, D.N., Li, Z.Z., Duan, W. S., Zhang, H.: Numerical simulation of dark envelope soliton in plasma. Phys. Plasmas 25(3), 032121(1–6) (2018)

    Google Scholar 

  23. Shi, X., Li, J., Wu, C.: Dynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation. Chaos 29, 023120(1–12) (2019)

    Google Scholar 

  24. Song, Y., Shi, X., Wu, C., Zhang, H.: Recent progress of study on optical solitons in fiber lasers. Appl. Phys. Rev. 6, 021313(1–20) (2019)

    Google Scholar 

  25. Rani, N., Yadav, M.: Propagation of nonlinear electron acoustic solitons in magnetized dense plasma with quantum effects of degenerate electrons. In: AIP Conference Proceedings, vol. 2352, pp. 030008(1–8). AIP Publishing (2020)

    Google Scholar 

  26. Chen, C., Pan, Y., Guo, J., Wang, Y., Gao, G., Wang, W.: Soliton dynamics for quantum systems with higher-order dispersion and nonlinear interaction. AIP Adv. 10, 065313(1–4) (2020)

    Google Scholar 

  27. Prayitno, T.B., Budi, E.: Numerical calculation on energy of static soliton solution for KdV equation. In: AIP Conference Proceedings 2021, 9th National Physics Seminar, vol. 2320, pp. 050014(1–3). AIP Publishing, Jakarta (2021)

    Google Scholar 

  28. Lu, F.F., Liu, S.Q.: Small amplitude ion-acoustic solitons with regularized κ-distributed electrons. AIP Adv. 11, 085223(1–5) (2021)

    Google Scholar 

  29. Wu, D.: The direct scattering problem for perturbed Kadomtsev–Petviashvili multi line solitons. J. Math. Phys. 62, 091513(1–19) (2021)

    Google Scholar 

  30. Mushinzimana, X., Nsengiyumva, F., Yadav, L.L., Baluku, T.K.: Dust ion acoustic solitons and double layers in a dusty plasma with adiabatic positive dust, adiabatic positive ion species, and Cairns-distributed electrons. AIP Adv. 12, 015208(1–10) (2022)

    Google Scholar 

  31. Wazwaz, A.M.: Multiple-soliton solutions for the KP equation by Hirota’s bilinear method and by the tanh–coth method. Appl. Math. Comput. 190, 633 (2007)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Dibrugarh University, Dibrugarh, 786004, Assam, India

    Hirak Jyoti Dehingia & P. N. Deka

Authors
  1. Hirak Jyoti Dehingia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. N. Deka
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hirak Jyoti Dehingia .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Politecnico di Torino, Torino, Italy

    Santo Banerjee

  2. Sikkim Manipal Institute of Technology, Sikkim Manipal University, East-Sikkim, India

    Asit Saha

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

Dehingia, H.J., Deka, P.N. (2022). Structural Variations of Ion-Acoustic Solitons. 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_8

Download citation

Publish with us

Policies and ethics

Search

Navigation