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Solitons of KdV and modified KdV in dusty plasmas with superthermal ions

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Abstract

For a dusty plasma with a negatively charged dust fluid with Boltzmann distributed electrons and superthermal ions, the dust acoustic solitary waves have been studied in this paper. We derived a Korteweg-de Vries (KdV) equation and a modified KdV equation for different cases. It was shown that the superthermal distributed ion have very important effect on the characters of dust acoustic solitary waves.

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References

  1. M Horanyi and D A Mendis Astrophys J. 294 357 (1985)

    Article  ADS  Google Scholar 

  2. M Horanyi and D A Mendis Astrophys J. 307 800 (1986)

    Article  ADS  Google Scholar 

  3. C K Goertz Rev. Geophys. 27 271 (1989)

    Article  ADS  Google Scholar 

  4. T G Northrop Phys. Scr. 45 475 (1992)

    Article  ADS  Google Scholar 

  5. D A Mendis and M Rosenberg Plasma Sci. 20 929 (1992)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. F Verheest Space Sci. Rev. 77 267 (1996)

    Article  ADS  Google Scholar 

  8. N N Rao, P K Shukla and M Y Yu Planet Space Sci. 38 543 (1990)

    Article  ADS  Google Scholar 

  9. P K Shukla and V P Silin Phys. Scr. 45 508 (1992)

    Article  ADS  Google Scholar 

  10. J H Chu, J B Du and I J Lin J. Phys. D 27 296 (1994)

    ADS  Google Scholar 

  11. N D’ Angelo J. Phys. D 28 1009 (1995)

    ADS  Google Scholar 

  12. A Barkar, R L Meclino and N D’ Angelo Phys. Plasma. 2 3563 (1995)

    Article  ADS  Google Scholar 

  13. A Barkar, R L Meclino and N D’ Angelo Planet. Space. Sci. 44 239 (1996)

    Article  ADS  Google Scholar 

  14. Y Nakamuro, H Bailung and P K Shukla Phys. Rev. Lett. 83 1602 (1999)

    Article  ADS  Google Scholar 

  15. W S Duan, K P Lu and J B Zhao Chin. Phys. Lett. 18 1088 (2001)

    Article  ADS  Google Scholar 

  16. W C Feldman, J R Asbridge, S J Bame and M D Montgomery J. Geophys. Res. 78 2017 (1973)

    Article  ADS  Google Scholar 

  17. V Formisano, G Moreno and F Palmiotto Geophys. Res. 78 3714 (1973)

    Article  ADS  Google Scholar 

  18. J D Scudder, E C Sittler and H S Bridge J. Geophys. Res. 86 8157 (1981)

    Article  ADS  Google Scholar 

  19. S Ichimaru, H Iyctomi and S Tanaka Phys. Rep. 149 91 (1987)

    Article  ADS  Google Scholar 

  20. T K Baluku and M A Hellberg Phys. Plasmas 15 123705 (2008)

    Article  ADS  Google Scholar 

  21. H R Pakzad Indian J. Phys. 84 867 (2010)

    Article  ADS  Google Scholar 

  22. H R Pakzad Indian J. Phys. 83 1605 (2009)

    Article  ADS  Google Scholar 

  23. H R Pakzad and K Javidan Indian J. Phys. 83 349 (2009)

    Article  Google Scholar 

  24. M Wadati J. Phys. Soc. Jpn. 38 673 (1975)

    Article  ADS  MathSciNet  Google Scholar 

  25. M Wadati J. Phys. Soc. Jpn. 34 1289 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  26. M Lakshmanan and S Rajasekar Nonlinear Dynamics: Integrability, Chaos and Patterns (Berlin: Springer) (2003)

    MATH  Google Scholar 

  27. P G Drazin and R S Johnson Soliton-Introduction (Cambridge: Cambridge University Press) (1989)

    Google Scholar 

Download references

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Emami, Z., Pakzad, H.R. Solitons of KdV and modified KdV in dusty plasmas with superthermal ions. Indian J Phys 85, 1643–1652 (2011). https://doi.org/10.1007/s12648-011-0178-4

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  • DOI: https://doi.org/10.1007/s12648-011-0178-4

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