Advertisement

Plasma Physics Reports

, Volume 45, Issue 5, pp 481–491 | Cite as

Electroacoustic Waves in a Collision-Free Magnetized Superthermal Bi-Ion Plasma

  • M. SarkerEmail author
  • M. R. Hossen
  • M. G. Shah
  • B. Hosen
  • A. A. Mamun
NONLINEAR PHENOMENA
  • 28 Downloads

Abstract

The electroacoustic waves, particularly ion-acoustic waves (IAWs), and their expansion in the medium of a magnetized collision-free plasma system has been investigated theoretically. The plasma system is assumed to be composed of both positively and negatively charged mobile ion species and kappa-distributed hot electron species. In the nonlinear perturbation regime, the magnetized Korteweg–de Vries (KdV) and magnetized modified KdV (mKdV) equations are derived by using reductive perturbation method. The prime features (i.e., amplitude, phase speed, width, etc.) of the IAWs are studied precisely by analyzing the stationary solitary wave solutions of the magnetized KdV and magnetized mKdV equations, respectively. It occurs that the basic properties of the IAWs are significantly modified in the presence of the excess superthermal hot electrons, obliqueness, the plasma particle number densities, etc. It is also observed that, in case of magnetized KdV solitary waves, both compressive and rarefactive structures are formed, whereas only compressive structures are found for the magnetized mKdV solitary waves. The implication of our results in some space and laboratory plasma situations is concisely discussed.

Notes

ACKNOWLEDGMENTS

M. Sarker is profoundly grateful to the Ministry of Science and Technology (Bangladesh) for awarding the National Science and Technology (NST) fellowship.

REFERENCES

  1. 1.
    T. Akhter, M. M. Hossain, and A. A. Mamun, Commun. Theor. Phys. 59, 745 (2013).CrossRefGoogle Scholar
  2. 2.
    D. E. Shemansky and D. T. Hall, J. Geophys. Res. 97, 4143 (1992).CrossRefGoogle Scholar
  3. 3.
    K. Stasiewics, Phys. Rev. Lett. 12, 125004 (2004).CrossRefGoogle Scholar
  4. 4.
    R. A. Gottscho and C. E. Gaebe, IEEE Trans. Plasma Sci. 14, 92 (1986).CrossRefGoogle Scholar
  5. 5.
    M. Bacal and G. W. Hamilton, Phys. Rev. Lett. 42, 1538 (1979).CrossRefGoogle Scholar
  6. 6.
    J. Jacquinot, B. D. McVey, and J. E. Scharer, Phys. Rev. Lett. 39, 88 (1977).CrossRefGoogle Scholar
  7. 7.
    B. Hultqvist, M. Ieroset, G. Paschmann, and R. Treumann, Magnetospheric Plasma Sources and Losses (Kluwer Academic, Dordrecht, 1999).CrossRefGoogle Scholar
  8. 8.
    H. S. W. Massey, Negative Ions (Cambridge University Press, Cambridge, 1976).Google Scholar
  9. 9.
    P. H. Chaizy, H. Reme, J. A. Sauvaud, C. D’Uston, R. P. Lin, D. E. Larson, D. L. Mitchell, K. A. Anderson, C. W. Carlson, A. Korth, and D. A. Mendis, Nature 349, 393 (1991).CrossRefGoogle Scholar
  10. 10.
    M. Shahmansouri and M. Tribeche, Astrophys. Space Sci. 350, 623 (2014).CrossRefGoogle Scholar
  11. 11.
    M. R. Hossen, L. Nahar, and A. A. Mamun, J. Korean Phys. Soc. 65, 1863 (2014).CrossRefGoogle Scholar
  12. 12.
    M. R. Hossen, L. Nahar, and A. A. Mamun, Braz. J. Phys. 44, 638 (2014).CrossRefGoogle Scholar
  13. 13.
    M. R. Hossen, M. A. Hossen, S. Sultana, and A. A. Mamun, Astrophys. Space Sci. 357, 34 (2015).CrossRefGoogle Scholar
  14. 14.
    M. A. Hossen, M. M. Rahman, M. R. Hossen, and A. A. Mamun, Braz. J. Phys. 45, 444 (2015).CrossRefGoogle Scholar
  15. 15.
    S. A. Ema, M. Ferdousi, S. Sultana, and A. A. Mamun, Eur. Phys. J. Plus 130, 46 (2015).CrossRefGoogle Scholar
  16. 16.
    M. Y. Yu, P. K. Shukla, and S. Bujarbarua, Phys. Fluids 23, 2146 (1980).CrossRefGoogle Scholar
  17. 17.
    P.K. Shukla and A. A. Mamun, IEEE Trans. Plasma Sci. 29, 221 (2001).CrossRefGoogle Scholar
  18. 18.
    A. A. Mamun, M. N. Alam, A. K. Das, Z. Ahmed, and T. K. Datta, Phys. Scr. 58, 72 (1998).CrossRefGoogle Scholar
  19. 19.
    S. Sultana, I. Kourakis, and M. A. Hellberg, Plasma Phys. Controlled Fusion 54, 105016 (2012).CrossRefGoogle Scholar
  20. 20.
    S. Sultana, I. Kourakis, N. S. Saini, and M. A. Hellberg, Phys. Plasmas 17, 032310 (2010).CrossRefGoogle Scholar
  21. 21.
    A. Hasegawa, K. Mima, and M. Duong-van, Phys. Rev. Lett. 54, 2608 (1985).CrossRefGoogle Scholar
  22. 22.
    S. Preische, P. C. Efthimion, and S. M. Kaye, Phys. Plasmas 3, 4065 (1996).CrossRefGoogle Scholar
  23. 23.
    C. Vocks, G. Mann, and G. Rausche, Astrophys. Space Sci. 480, 527 (2008).Google Scholar
  24. 24.
    T. Cattaert, M. A. Helberg, and R. L. Mace, Phys. Plasmas 14, 082111 (2007).CrossRefGoogle Scholar
  25. 25.
    M. S. Alam, M. M. Masud, and A. A. Mamun, Plasma Phys. Rep. 39, 1011 (2013).CrossRefGoogle Scholar
  26. 26.
    B. Basu, Phys. Plasmas 15, 042108 (2008).CrossRefGoogle Scholar
  27. 27.
    T. K. Baluku and M. A. Hellberg, Phys. Plasmas 19, 012106 (2012).CrossRefGoogle Scholar
  28. 28.
    M. Sarkar, M. R. Hossen, M. G. Shah, B. Hosen, and A. A. Mamun, Z. Naturforsch. A 73, 501 (2018).CrossRefGoogle Scholar
  29. 29.
    G. C. Das, Phys. Plasmas 19, 363 (1977).CrossRefGoogle Scholar
  30. 30.
    S. K. El-Labany and A. El-Sheikh, Astrophys. Space Sci. 19, 185 (1992).CrossRefGoogle Scholar
  31. 31.
    A. A. Mamun, Phys. Rev. E 55, 1852 (1997).CrossRefGoogle Scholar
  32. 32.
    W. F. El-Taibany and I. Kourakis, Phys. Plasmas 13, 062302 (2006).CrossRefGoogle Scholar
  33. 33.
    E. K. El-Shewy, S. A. El-Wakil, A. M. El-Hanbaly, M. Sallah, and H. F. Darweesh, Astrophys. Space Sci. 356, 269 (2015).CrossRefGoogle Scholar
  34. 34.
    M. G. Shah, M. M. Rahman, M. R. Hossen, and A. A. Mamun, Commun. Theor. Phys. 64, 208 (2015).CrossRefGoogle Scholar
  35. 35.
    M. G. Shah, M. M. Rahman, M. R. Hossen, and A. A. Mamun, Plasma Phys. Rep. 42, 168 (2016).CrossRefGoogle Scholar
  36. 36.
    I. Hadjaz and M. Tribeche, Astrophys. Space Sci. 351, 591 (2014).CrossRefGoogle Scholar
  37. 37.
    R. A. Cairns, A. A. Mamun, R. Bingham, R. Bostrom, R. O. Dendy, C. M. C. Nairn, and P. K. Shukla, Geophys. Res. Lett. 22, 2709 (1995).CrossRefGoogle Scholar
  38. 38.
    H. Schamel and S. Bujarbarua, Phys. Fluids 23, 2498 (1980).CrossRefGoogle Scholar
  39. 39.
    K. Nishihara and M. Tajiri, J. Phys. Soc. Jpn. 50, 4047 (1981).CrossRefGoogle Scholar
  40. 40.
    T. Akhter, M. M. Hossain, and A. A. Mamun, Plasma Phys. B 22, 075201 (2013).Google Scholar
  41. 41.
    A. A. Mamun and N. Jahan, Europhys. Lett. 84, 35001 (2008).CrossRefGoogle Scholar
  42. 42.
    C. R. Choi, K. W. Min, M. H. Woo, and C. M. Ryu, Phys. Plasmas 17, 092904 (2010).CrossRefGoogle Scholar
  43. 43.
    A. A. Mamun and S. Tasnim, Phys. Plasmas 17, 073704 (2010).CrossRefGoogle Scholar
  44. 44.
    M. Hasan, M. M. Hossain, and A. A. Mamun, Astrophys. Space Sci. 345, 113 (2013).CrossRefGoogle Scholar
  45. 45.
    T. Akhter, M. M. Hossain, and A. A. Mamun, Astrophys. Space Sci. 345, 283 (2013).CrossRefGoogle Scholar
  46. 46.
    A. A. Mamun, P. K. Shukla, and B. Eliasson, Phys. Rev. E 80, 046406 (2009).CrossRefGoogle Scholar
  47. 47.
    F. Sayed, M. M. Haider, A. A. Mamun, P. K. Shukla, B. Eliasson, and N. Adhikary, Phys. Plasmas 15, 063701 (2008).CrossRefGoogle Scholar
  48. 48.
    M. M. Haider, S. Akter, S. S. Duha, and A. A. Mamun, Cent. Eur. J. Phys. 10, 1168 (2012).Google Scholar
  49. 49.
    M. M. Haider and A. A. Mamun, Phys. Plasmas 19, 102105 (2012).CrossRefGoogle Scholar
  50. 50.
    B. Hosen, M. G. Shah, M. R. Hossen, and A. A. Mamun, Eur. Phys. J. Plus 131, 81 (2016).CrossRefGoogle Scholar
  51. 51.
    B. Hosen, M. Amina, A. A. Mamun, and M. R. Hossen, J. Korean Phys. Soc. 69, 1762 (2016).CrossRefGoogle Scholar
  52. 52.
    S. Sultana and A. A. Mamun, Astrophys. Space Sci. 349, 229 (2014).CrossRefGoogle Scholar
  53. 53.
    M. S. Alam, M. M. Masud, and A. A. Mamun, Astrophys. Space Sci. 349, 245 (2014).CrossRefGoogle Scholar
  54. 54.
    M. J. Uddin, M. S. Alam, and A. A. Mamun, Commun. Theor. Phys. 63, 754 (2015).CrossRefGoogle Scholar
  55. 55.
    A. E. Dubinov, Phys. Scr. 80, 035504 (2009).CrossRefGoogle Scholar
  56. 56.
    A. E. Dubinov, Plasma Phys. Rep. 35, 991 (2009).CrossRefGoogle Scholar
  57. 57.
    S. I. Popel and M. Y. Yu, Contrib. Plasma Phys. 35, 103 (1995).CrossRefGoogle Scholar
  58. 58.
    T. V. Losseva, S. I. Popel, A. P. Golub, and P. K. Shukla, Phys. Plasmas 16, 093704 (2009).CrossRefGoogle Scholar
  59. 59.
    T. V. Losseva, S. I. Popel, and A. P. Golub, Plasma Phys. Rep. 38, 729 (2012).CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  • M. Sarker
    • 1
    Email author
  • M. R. Hossen
    • 2
  • M. G. Shah
    • 3
  • B. Hosen
    • 1
  • A. A. Mamun
    • 1
  1. 1.Department of Physics, Jahangirnagar UniversitySavarBangladesh
  2. 2.Department of General Educational Development, Daffodil International UniversityDhakaBangladesh
  3. 3.Department of Physics, Hajee Mohammad Danesh Science and Technology UniversityDinajpurBangladesh

Personalised recommendations