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Heavy-Ion-Acoustic Solitary and Shock Waves in an Adiabatic Multi-Ion Plasma

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Abstract

The standard reductive perturbation method has been employed to derive the Korteweg-deVries (K-dV) and Burgers (BG) equations to investigate the basic properties of heavy-ion-acoustic (HIA) waves in a plasma system which is supposed to be composed of nonthermal electrons, Boltzmann distributed light ions, and adiabatic positively charged inertial heavy ions. The HIA solitary and shock structures are found to exist with either positive or negative potential. It is found that the effects of adiabaticity of inertial heavy ions, nonthermality of electrons, and number densities of plasma components significantly modify the basic properties of the HIA solitary and shock waves. The implications of our results may be helpful in understanding the electrostatic perturbations in various laboratory and astrophysical plasma environments.

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References

  1. W. Misner, K.S. Thome, J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973)

    Google Scholar 

  2. M.J. Rees, in The very early universe, ed. by G. W. Gibbons, S. W. Hawking, S. Siklas (Cambridge University Press, Cambridge, 1983)

  3. H.R. Miller, P.J. Witta, Active galactic nuclei (Springer, Berlin, 1987)

    Google Scholar 

  4. D.A. Mendis, M. Horanyi, In Cometary Plasma Processes, AGU Monograph No. 61, American Geophysical Union, (Washington, DC, 1991)

  5. T. Montmerle, in The physics of star formation and early stellar evolution, ed. by C. J. Lada, N. D. Kylafis (Kluwer, Dordrecht, 1991)

  6. D.A. Mendis, M. Rosenberg, Annu. Rev. Astron. Astrophys. 32, 419 (1994)

    Article  ADS  Google Scholar 

  7. H. Alfvén, D.A. Mendis, Adv. Space Res. 3, 293 (1983)

    Article  Google Scholar 

  8. W. Hartquist, O. Havnes, G.E. Morfill, Fundam. Cosm. Phys. 15, 107 (1992)

    ADS  Google Scholar 

  9. H. Washimi, T. Taniuti, Phys. Rev. Lett. 17, 996 (1966)

    Article  ADS  Google Scholar 

  10. H.K. Andersen, N. D’Angelo, P. Michelsen, P. Nielsen, Phys. Rev. Lett. 19, 149 (1967)

    Article  ADS  Google Scholar 

  11. H. Ikezi, R. Taylor, D. Baker, Phys. Rev. Lett. 25, 11 (1970)

    Article  ADS  Google Scholar 

  12. S.I. Popel, S.V. Vladimirov, P.K. Shukla, Phys. Plasmas 2, 716 (1995)

    Article  ADS  Google Scholar 

  13. A.A. Mamun, Phys. Rev. E 55, 1852 (1997)

  14. A.A. Mamun, P.K. Shukla, Phys. Plasmas 9, 1468 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  15. P.K. Shukla, Phys. Plasmas 7, 1044 (2000)

    Article  ADS  Google Scholar 

  16. Q.Z. Luo, N. D’Angelo, R.L. Merlino, Phys. Plasmas 6, 3455 (1999)

    Article  ADS  Google Scholar 

  17. R.A. Cairns, A.A. Mamun, R. Bingham, R. Boström, R.O. Dendy, C.M.C. Nairn, P.K. Shukla, Geophys. Res. Lett. 22, 2709 (1995)

    Article  ADS  Google Scholar 

  18. C. Chan, M. Khazei, K.E. Lonngren, N. Hershkowitz, Phys. Fluids 24, 1452 (1981)

    Article  ADS  Google Scholar 

  19. Y. Nakamura, H. Bailung, P.K. Shukla, Phys. Rev. Lett. 83, 1602 (1999)

    Article  ADS  Google Scholar 

  20. A.A. Mamun, R.A. Cairns, Phys. Rev. E 79, 055401 (2009)

    Article  ADS  Google Scholar 

  21. M.A. Hossen, M.R. Hossen, A.A. Mamun, J. Korean Phys. Soc. 65, 1883 (2014)

    Article  ADS  Google Scholar 

  22. M.A. Hossen, M.R. Hossen, A.A. Mamun. Braz. J. Phys. 44, 703 (2014)

    Article  ADS  Google Scholar 

  23. M.R. Hossen, L. Nahar, S. Sultana, A.A. Mamun. Astrophys. Space Sci. 353, 123 (2014)

    Article  ADS  Google Scholar 

  24. M.R. Hossen, L. Nahar, A.A. Mamun. J. Korean Phys. Soc. 65, 1863 (2014)

    Article  ADS  Google Scholar 

  25. C.S. Wu, G.Q. Zhao, L. Chen, D.J. Wu, Phys. Plasmas 20, 082102 (2013)

    Article  ADS  Google Scholar 

  26. G.C. Das, Phys. Plasmas 19, 363 (1977)

    Article  Google Scholar 

  27. S.K. El-Labany, A. El-Sheikh, Astrophys. Space Sci. 19, 185 (1992)

    Article  ADS  Google Scholar 

  28. H. Schamel, S. Bujarbarua, Phys. Fluids. 23, 2498 (1980)

    Article  ADS  Google Scholar 

  29. K. Nishihara, M. Tajiri, J. Phys. Soc. Jpn. 50, 4047 (1981)

    Article  ADS  Google Scholar 

  30. T. Akhter, M.M. Hossain, A.A. Mamun, Plasma Phys. B 22, 075201 (2013)

    Google Scholar 

  31. P. Eslami, M. Mottaghizadeh, H.R. Pakzad, Can. J. Phys. 90, 525 (2012)

    Article  ADS  Google Scholar 

  32. A.A. Mamun, N. Jahan, Eur. Phys. Lett. 84, 35001 (2008)

    Article  ADS  Google Scholar 

  33. C.R. Choi, K.W. Min, M.H. Woo, C.M. Ryu, Phys. Plasmas 17, 092904 (2010)

    Article  ADS  Google Scholar 

  34. K. Jilani, A.M. Mirza, T.A. Khan, Astrophys. Space Sci. 344, 135 (2013)

    Article  ADS  Google Scholar 

  35. A.A. Mamun, Phys. Lett A. 372, 4610 (2008)

    Article  MATH  ADS  Google Scholar 

  36. A. Rahman, F. Sayed, A.A. Mamun, Phys. Plasmas 14, 034503 (2007)

    Article  ADS  Google Scholar 

  37. T. Akhter, A. Mannan, A.A. Mamun, Plasma Phys. Reports 39, 548 (2013)

    Article  ADS  Google Scholar 

  38. J.-N. Han, J.-H. Luo, G.-X. Dong, S.-S. Zheng, Y.-G. Nan, Phys. Scr. 86, 035505 (2012)

    Article  ADS  Google Scholar 

Download references

Acknowledgment

M. A. Hossen, one of the authors, is grateful to the Ministry Of Science and Technology (MOST), Bangladesh for awarding the National Science and Technology (NST) fellowship.

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Hossen, M.A., Rahman, M.M., Hossen, M.R. et al. Heavy-Ion-Acoustic Solitary and Shock Waves in an Adiabatic Multi-Ion Plasma. Braz J Phys 45, 444–449 (2015). https://doi.org/10.1007/s13538-015-0338-7

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  • DOI: https://doi.org/10.1007/s13538-015-0338-7

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