Skip to main content

Dynamical Behavior of Ion-Acoustic Periodic and Solitary Structures in Magnetized Solar Wind Plasma

  • Conference paper
  • First Online:
Proceedings of the Sixth International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1262))

Abstract

Dynamical behaviors of ion-acoustic periodic wave (IAPW) and solitary wave (IASW) structures are examined in a three-component collisionless, magnetized solar wind plasma. The Schamel equation is derived and the effect of parameters like efficiency of electron trapping (\(\beta \)), temperature ratio of ion to proton (\(T_i/T_p\)) of the solar wind, \(\kappa -\)index, and traveling wave velocity (\(v_0\)) are considered on IAW solutions of obtained Schamel equation. Typical solar wind parameters are used for computational simulation. The result of the study can be useful to discern the wave features of solar wind plasma.

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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Steinberg JT, Lazaras AJ, Ogilvie KW, Lepping R, Byrnes J (1996) Differential flow between solar wind protons and alpha particles: first wind observations. Geophys Res Lett 23:1183. https://doi.org/10.1029/96GL00628

  2. Marsch E, Muhlhauser K-H, Rosenbauer H, Schwenn R, Neubauer FM (1982) Solar wind helium ions: observations of the Helios solar probes between 0.3 and 1 AU. J Geophys Res 87:35. https://doi.org/10.1029/JA087iA01p00035

  3. Gurnett DA, Marsch E, Pilipp W, Schwenn R, Rosenbauer H (1979) Ion acoustic waves and related plasma observations in the solar wind. J Geophys Res 84(A5):2029. https://doi.org/10.1029/JA084iA05p02029

  4. Arshad K, Mirza AM, Rehman A (2014) Ion-acoustic waves in non-Maxwellian magnetospheric electron-positron-ion plasma. Astrophys Space Sci 350(2):585–590. https://doi.org/10.1007/s10509-014-1788-z

  5. Sreeraj T, Singh SV, Lakhina GS (2016) Coupling of electrostatic ion cyclotron and ion acoustic waves in the solar wind. Phys Plasmas 23(8):082901. https://doi.org/10.1063/1.4960657

  6. Bacha M, Gougam LA, Tribeche M (2017) Ion-acoustic rogue waves in magnetized solar wind plasma with nonextensive electrons. Phys Stat Mech Appl 466:199–210. https://doi.org/10.1016/j.physa.2016.09.013

  7. Samanta UK, Saha A, Chatterjee P (2013) Bifurcations of dust ion acoustic traveling waves in a magnetized dusty plasma with a q-nonextensive electron velocity distribution. Phys Plasmas 20:022111. https://doi.org/10.1063/1.4791660

  8. Selim MM, El-Depsy A, El-Shamy EF (2015) Bifurcations of nonlinear ion-acoustic traveling waves in a multicomponent magnetoplasma with superthermal electrons. Astrophys Space Sci 360:66. https://doi.org/10.1007/s10509-015-2574-2

  9. Saha A (2016) Bifurcation, periodic and chaotic motions of the modified equal width-Burgers (MEW-Burgers) equation with external periodic perturbation. Nonlinear Dyn 87(4):2193–2201. https://doi.org/10.1007/s11071-016-3183-5

  10. Saha A (2017) Dynamics of the generalized KP-MEW-Burgers equation with external periodic perturbation. Comput Math Appl 73(9):1879–1885. https://doi.org/10.1016/j.camwa.2017.02.017

  11. Saha A, Ali R, Chatterjee P (2017) Nonlinear excitations for the positron acoustic waves in auroral acceleration regions. Adv Space Res 60:1220. https://doi.org/10.1016/j.asr.2017.06.012

  12. Saha A, Prasad PK, Banerjee S (2019) Bifurcations of ion-acoustic superperiodic waves in auroral zone of Earth’s magnetosphere. Astrophys Space Sci 364:180. https://doi.org/10.1007/s10509-019-3671-4

  13. El-Monier SY, Atteya A (2018) Bifurcation analysis for dust-acoustic waves in a four-component plasma including warm ions. IEEE Trans Plasma Sci 46:815–824. https://doi.org/10.1109/TPS.2017.2766097

  14. Lakhina GS, Singh SV (2015) Generation of Weak Double Layers and Low-Frequency Electrostatic Waves in the Solar Wind. Solar Phys 290(10):3033–3049. https://doi.org/10.1007/s11207-015-0773-1

  15. Williams G, Verheest F, Hellberg MA, Anowar MGM, Kourakis I (2014) A Schamel equation for ion acoustic waves in superthermal plasmas. Phys Plasmas 21(9):092103. https://doi.org/10.1063/1.4894115

  16. Schamel H (1973) A modified Korteweg-de Vries equation for ion acoustic wavess due to resonant electrons. J Plasma Phys 9(03):377. https://doi.org/10.1017/S002237780000756X

  17. Baluku TK, Hellberg MA, Kourakis I, Saini NS (2010) Dust ion acoustic solitons in a plasma with kappa-distributed electrons. Phys Plasmas 17(5):053702. https://doi.org/10.1063/1.3400229

  18. El-Kalaawy OH (2011) Exact solitary solution of Schamel equation in plasmas with negative ions. Phys Plasmas 18(11):112302. https://doi.org/10.1063/1.3657422

  19. Mangeney A, Salem C, Lacombe JC, Perche C, Manning R, Kellogg PJ, Geoz K, Monson SJ, Bosqued JM (1999) WIND observations of coherent electrostatic waves in the solar wind. Ann Geophys 17:307–320. https://doi.org/10.1007/s00585-999-0307-y

  20. Borovsky JE, Gary SP (2014) How important are the alpha-proton relative drift and the electron heat flux for the proton heating of the solar wind in the inner heliosphere. J Geophys Res—Space Phys 119:5210–5219. https://doi.org/10.1002/2014JA019758

  21. Livadiotis G (2015) Introduction to special section on Origins and Properties of Kappa Distributions: Statistical Background and Properties of Kappa Distributions in Space Plasmas. J Geophys Res Space Phys 120(3):1607–1619. https://doi.org/10.1002/2014JA020825

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Punam Kumari Prasad .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Prasad, P.K., Saha, A. (2021). Dynamical Behavior of Ion-Acoustic Periodic and Solitary Structures in Magnetized Solar Wind Plasma. In: Giri, D., Buyya, R., Ponnusamy, S., De, D., Adamatzky, A., Abawajy, J.H. (eds) Proceedings of the Sixth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1262. Springer, Singapore. https://doi.org/10.1007/978-981-15-8061-1_33

Download citation

Publish with us

Policies and ethics