Plasma Physics Reports

, Volume 39, Issue 7, pp 548–555 | Cite as

Dust-acoustic solitary waves in a four-component adiabatic magnetized dusty plasma

Dusty Plasma

Abstract

Theoretical investigation has been made on obliquely propagating dust-acoustic (DA) solitary waves (SWs) in a magnetized dusty plasma which consists of non-inertial adiabatic electron and ion fluids, and inertial negatively as well as positively charged adiabatic dust fluids. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation which admits a solitary wave solution for small but finite amplitude limit. It has been shown that the basic features (speed, height, thickness, etc.) of such DA solitary structures are significantly modified by adiabaticity of plasma fluids, opposite polarity dust components, and the obliqueness of external magnetic field. The SWs have been changed from compressive to rarefactive depending on the value of μ (a parameter determining the number of positive dust present in this plasma model). The present investigation can be of relevance to the electrostatic solitary structures observed in various dusty plasma environments (viz. cometary tails, upper mesosphere, Jupiter’s magnetosphere, etc.).

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References

  1. 1.
    N. N. Rao, P. K. Shukla, and M. Y. Yu, Planet. Space Sci. 38, 543 (1990).ADSCrossRefGoogle Scholar
  2. 2.
    F. Verheest, Waves in Dusty Plasmas (Kluwer, Dordrecht, 2000).CrossRefGoogle Scholar
  3. 3.
    P. K. Shukla and A. Mamun, Introduction to Dusty Plasma Physics (IOP, Bristol, 2002).CrossRefGoogle Scholar
  4. 4.
    A. Barkan, R. L. Merlino, and N. D’Angelo, Phys. Plasmas 2, 3563 (1995).ADSCrossRefGoogle Scholar
  5. 5.
    C. Thompson, A. Barkan, N. D’Angelo, and R. L. Merlino, Phys. Plasmas 4, 2331 (1997).ADSCrossRefGoogle Scholar
  6. 6.
    R. L. Merlino and J. Goree, Phys. Today 57, 32 (2004).CrossRefGoogle Scholar
  7. 7.
    P. Bandyopadhyay, G. Prasad, A. Sen, and P. K. Kaw, Phys. Rev. Lett. 101, 065006 (2008).ADSCrossRefGoogle Scholar
  8. 8.
    J. Heinrich, S. H. Kim, and R. L. Merlino, Phys. Rev. Lett. 103, 115002 (2009).ADSCrossRefGoogle Scholar
  9. 9.
    R. K. Varma, P. K. Shukla, and V. Krishan, Phys. Rev. E 47, 3612 (1993).ADSCrossRefGoogle Scholar
  10. 10.
    F. Melands 3, 3890 (1996).Google Scholar
  11. 11.
    P. K. Kaw and A. Sen, Phys. Plasmas 5, 3552 (1998).ADSCrossRefGoogle Scholar
  12. 12.
    A. A. Mamun, R. A. Cairns, and P. K. Shukla, Phys. Plasmas 3, 702 (1996).MathSciNetADSCrossRefGoogle Scholar
  13. 13.
    A. A. Mamun, Astrophys. Space Sci. 268, 443 (1999).ADSCrossRefGoogle Scholar
  14. 14.
    A. V. Ivlev and G. Morfill, Phys. Rev. E 63, 026412 (2001).ADSCrossRefGoogle Scholar
  15. 15.
    P. K. Shukla and A. A. Mamun, IEEE Trans. Plasma Sci. 29, 221 (2001).ADSCrossRefGoogle Scholar
  16. 16.
    A. A. Mamun and P. K. Shukla, Phys. Lett. A 290, 173 (2001).ADSMATHCrossRefGoogle Scholar
  17. 17.
    P. K. Shukla and A. A. Mamun, New J. Phys. 5, 17 (2003).ADSCrossRefGoogle Scholar
  18. 18.
    B. Eliasson and P. Shukla, Phys. Rev. E 69, 067401 (2004).ADSCrossRefGoogle Scholar
  19. 19.
    A. A. Mamun, B. Eliasson, and P. K. Shukla, Phys. Lett. A 332, 412 (2004).ADSMATHCrossRefGoogle Scholar
  20. 20.
    F. Verheest and S. R. Pillay, Phys. Plasmas 15, 013703 (2008).ADSCrossRefGoogle Scholar
  21. 21.
    A. A. Mamun and R. A. Cairns, Phys. Rev. E 79, 055401 (2009).ADSCrossRefGoogle Scholar
  22. 22.
    J. X. Ma and J. Liu, Phys. Plasmas 4, 253 (1997).ADSCrossRefGoogle Scholar
  23. 23.
    S. K. El-Labany, W. F. El-Taibany, A. A. Mamun, and W. M. Moslem, Phys. Plasmas 11, 926 (2004).ADSCrossRefGoogle Scholar
  24. 24.
    W. M. Moslem, Chaos Solitons Fractals 23, 939 (2005).ADSMATHGoogle Scholar
  25. 25.
    A. A. Mamun and P. K. Shukla, Europhys. Lett. 87, 25001 (2009).ADSCrossRefGoogle Scholar
  26. 26.
    A. A. Mamun and P. K. Shukla, New J. Phys. 11, 103022 (2009).ADSCrossRefGoogle Scholar
  27. 27.
    K. S. Ashrafi, A. A. Mamun, and P. K. Shukla, Europhys. Lett. 92, 15004 (2010).ADSCrossRefGoogle Scholar
  28. 28.
    H. Alinejad and A. A. Mamun, Phys. Plasmas 17, 123706 (2010).ADSCrossRefGoogle Scholar
  29. 29.
    M. Tribeche and A. Merriche, Phys. Plasmas 18, 034502 (2011).ADSCrossRefGoogle Scholar
  30. 30.
    M. Rosenberg and D. A. Mendis, IEEE Trans. Plasma Sci. 23, 177 (1995).ADSCrossRefGoogle Scholar
  31. 31.
    V. E. Fortov, A. P. Nefedov, O. F. Petrov, et al., JETP 87, 1087 (1998).ADSCrossRefGoogle Scholar
  32. 32.
    V. W. Chow, D. A. Mendis, and M. Rosenberg, J. Geophys. Res. 98, 19065 (1993).ADSCrossRefGoogle Scholar
  33. 33.
    M. Rosenberg, D. A. Mendis, and D. P. Sheehan, IEEE Trans. Plasma. Sci. 27, 239 (1999).ADSCrossRefGoogle Scholar
  34. 34.
    O. Havnes, J. Trøim, T. Blix, et al., J. Geophys. Res. 101, 10839 (1996).ADSCrossRefGoogle Scholar
  35. 35.
    P. K. Shukla, Phys. Plasmas 11, 3676 (2004).ADSCrossRefGoogle Scholar
  36. 36.
    S. I. Popel, Adv. Space Res. 37, 414 (2006).ADSCrossRefGoogle Scholar
  37. 37.
    B. P. Pandey and S. V. Vladimirov, Phys. Plasmas 18, 122902 (2011).ADSCrossRefGoogle Scholar
  38. 38.
    M. Hordnyi, Annu. Rev. Astron. Astrophys. 34, 383 (1996).ADSCrossRefGoogle Scholar
  39. 39.
    T. A. Ellis and J. S. Neff, Icarus 91, 280 (1991).ADSCrossRefGoogle Scholar
  40. 40.
    M. Hordnyi, G. E. Morfill, and E. Grim, Nature 363, 144 (1993).ADSCrossRefGoogle Scholar
  41. 41.
    P. K. Shukla and M. Rosenberg, Phys. Scr. 73, 196 (2006).ADSCrossRefGoogle Scholar
  42. 42.
    D. J. Lacks and A. Levandovsky, J. Electrostat. 65, 107 (2007).CrossRefGoogle Scholar
  43. 43.
    W. M. Farrell, P. H. Smith, and G. T. Delory, J. Geophys. Res. 109, E03004 (2004).ADSCrossRefGoogle Scholar
  44. 44.
    J. Merrison, J. Jensen, K. Kinch, et al., Planet. Space Sci. 52, 279 (2004).ADSCrossRefGoogle Scholar
  45. 45.
    C. D. Stow, Rep. Prog. Phys. 32, 1 (1969).ADSCrossRefGoogle Scholar
  46. 46.
    H. Zhao, G. S. P. Castle, and I. I. Inculet, J. Electrostat. 55, 261 (2002).CrossRefGoogle Scholar
  47. 47.
    H. G. Zhao, S. P. Castle, I. I. Inculet, et al., IEEE Trans. Ind. Appl. 39, 612 (2003).CrossRefGoogle Scholar
  48. 48.
    S. Trigwell, N. Grable, C. U. Yurreri, et al., IEEE Trans. Ind. Appl. 39, 79 (2003).CrossRefGoogle Scholar
  49. 49.
    F. S. All, R. A. All, and I. I. Lncullet, J. Electrostat. 45, 139 (1998).CrossRefGoogle Scholar
  50. 50.
    D. A. Mendis and M. Rosenberg, Annu. Rev. Astron. Astrophys, 32, 419 (1994).ADSCrossRefGoogle Scholar
  51. 51.
    P. H. Sakanaka and P. K. Shukla, Phys. Scr. 84, 181 (2000).CrossRefGoogle Scholar
  52. 52.
    N. D’Angelo, Planet. Space Sci. 49, 1251 (2001).ADSCrossRefGoogle Scholar
  53. 53.
    A. A. Mamun and P. K. Shukla, Geophys. Rev. Lett. 29, 1870 (2002).ADSCrossRefGoogle Scholar
  54. 54.
    A. A. Mamun, Phys. Rev. E 77, 026406 (2008).ADSCrossRefGoogle Scholar
  55. 55.
    A. A. Mamun, Phys. Lett. A 372, 686 (2008).ADSMATHCrossRefGoogle Scholar
  56. 56.
    F. Verheest, Phys. Plasmas 16, 013704 (2009).ADSCrossRefGoogle Scholar
  57. 57.
    S. Tasnim, A. Mannan, and A. A. Mamun, Asrtophys. Space Sci. 337, 261 (2012).ADSMATHCrossRefGoogle Scholar
  58. 58.
    F. Sayed and A. A. Mamun, Phys. Plasmas 14, 014501 (2007).ADSCrossRefGoogle Scholar
  59. 59.
    P. K. Shukla and M. Y. Yu, J. Math. Phys. 19, 2506 (1978).ADSCrossRefGoogle Scholar
  60. 60.
    E. Witt and W. Lotko, Phys. Fluids 26, 2176 (1983).ADSMATHCrossRefGoogle Scholar
  61. 61.
    L. C. Lee and J. R. Kan, Phys. Fluids 24, 430 (1981).ADSMATHCrossRefGoogle Scholar
  62. 62.
    N. D’Angelo, Planet. Space Sci. 50, 375 (2002).ADSCrossRefGoogle Scholar
  63. 63.
    A. A. Mamun, Nuovo Cimento 20, 1307 (1998).CrossRefGoogle Scholar
  64. 64.
    B. Chanchal, T. S. Gill, and A. S. Bams, J. Phys. 208, 012037 (2010).Google Scholar
  65. 65.
    A. K. Banerjee, M. N. Alam, and A. A. Mamun, PRAMANA 61, 177 (2003).ADSCrossRefGoogle Scholar
  66. 66.
    P. K. Shukla, A. A. Mamun, and L. Stenflo, Phys. Scr. 68, 295 (2003).ADSMATHCrossRefGoogle Scholar
  67. 67.
    M. G. M. Anowar and A. A. Mamun, Phys. Lett. A 372, 5896 (2008).ADSMATHCrossRefGoogle Scholar
  68. 68.
    H. Washimi and T. Taniuti, Phys. Rev. Lett. 17, 996 (1966).ADSCrossRefGoogle Scholar
  69. 69.
    A. Mahmoudian, Ann. Geophys. 129, 2169 (2011).ADSCrossRefGoogle Scholar
  70. 70.
    W. M. Moslem, Phys. Plasmas 10, 3168 (2003).ADSCrossRefGoogle Scholar
  71. 71.
    Ju-Kui Xue, Phys. Rev. E 69, 016403 (2004).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Department of PhysicsJahangirnagar UniversitySavar, DhakaBangladesh

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