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Head-on collision of ion-acoustic solitary and shock waves in a two-electron-temperature plasma

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Abstract

A plasma composed of ions and two species of electrons at different temperatures (hot and cold) is considered. A modified Korteweg-de Vries equation is derived which describes the evolution of rarefactive and compressive ion-acoustic solitons or steady electrostatic shocks, according to whether the relative concentrations and the relative temperatures assume critical values. By using the extended Poncaré-Lighthill-Kuo perturbation method the head-on collision between two countertravelling ion-acoustic pulses are studied. It is shown that the interaction between solitons produces a shift in the trajectories of motion, such an effect also exists for interacting steady shocks but with different characteristics.

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References

  1. M. Washimi, T. Taniuti, Phys. Rev. Lett. 17, 996 (1966)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. R.K. Dodd, J.C. Eilbeck, J.D. Gibbon, H.C. Morris, Solitons and Nonlinear Wave Equations (Academic Press, London, 1982)

  4. E. Infeld, G. Rowlands, Nonlinear Waves Solitons and Chaos (Cambridge University Press, Cambridge, 2000)

  5. P.K. Shukla, A.A. Mamum, Introduction to Dusty Plasmas (IoP, Bristol, 2002)

  6. Y. Nishida, T. Nagasawa, Phys. Fluids 29, 345 (1986)

    Article  ADS  Google Scholar 

  7. K.S. Goswami, S. Bujarbarna, Phys. Lett. A 108, 149 (1985)

    Article  ADS  Google Scholar 

  8. R. Bharuthram, P.K. Shukla, Phys. Fluids 29, 3214 (1986)

    Article  ADS  MATH  Google Scholar 

  9. Y. Nejoh, Phys. Lett. A 125, 320 (1987)

    Article  ADS  Google Scholar 

  10. H.H. Kuehl, K. Imen, IEEE Trans. Plasma Sci. 13, 37 (1989)

    Article  ADS  Google Scholar 

  11. S.G. Tagare, Phys. Plasmas 7, 883 (2000)

    Article  ADS  Google Scholar 

  12. I. Kourakis, P.K. Shukla, J. Phys. A: Math. Gen. 36, 11901 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. R. Boström, Phys. Rev. Lett. 61, 82 (1988)

    Article  ADS  Google Scholar 

  14. G. Huang, M. Velarde, Phys. Rev. E 53, 2988 (1996)

    Article  ADS  Google Scholar 

  15. G. Huang, M. Velarde, Phys. Rev. E 54, 3048 (1996)

    Article  ADS  Google Scholar 

  16. G. Huang, M. Velarde, Phys. Rev. E 64, 013617 (2001)

    ADS  Google Scholar 

  17. H.E. Nistazakis, D.J. Frantzeskakis, B.A. Malomed, P.G. Kevrekidis, Phys. Lett. A 285, 158 (2001)

    Article  ADS  Google Scholar 

  18. J.-K. Xue, Europhys. Lett. 68, 645 (2004)

    Article  ADS  Google Scholar 

  19. J.-K. Xue, Phys. Lett. A 331, 409 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. J.-K. Xue, Phys. Rev. E 69, 016403 (2004)

    Article  ADS  Google Scholar 

  21. Xue Ju-Kui, Chin. Phys. 15, 562 (2006)

    Article  ADS  Google Scholar 

  22. J.N. Han, S.C. Li, X.X. Yang, W.S. Duang, Eur. Phys. J. D 47, 197 (2008)

    Article  ADS  Google Scholar 

  23. J.-N. Han, X.-X. Yang, D.-X. Tiang, W.-S. Duang, Phys. Lett. A 372, 4817 (2008)

    Article  ADS  MATH  Google Scholar 

  24. P. Peng, G.-Q. Li, J.-K. Xue, Phys. Lett. A 365, 458 (2007)

    Article  ADS  Google Scholar 

  25. W. Cui, Y. Zhu, H. Li, S. Liu, Phys. Lett. A 374, 308 (2009)

    Article  Google Scholar 

  26. E.F. El-Shami, W.M. Moslem, P.K. Shukla, Phys. Lett. A 374, 290 (2009)

    Article  ADS  Google Scholar 

  27. H. Demiray, Chaos Solitons Fractals 41, 1579 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  28. M. Akbari-Moghanjoughi, Phys. Plasmas 17, 072101 (2010)

    Article  ADS  Google Scholar 

  29. M. Akbari-Moghanjoughi, Phys. Lett. A 374, 1721 (2010)

    Article  ADS  MATH  Google Scholar 

  30. M. Akbari-Moghanjoughi, Astrophys. Space Sci. 333, 491 (2011)

    Article  ADS  MATH  Google Scholar 

  31. J.-N. Han, L. He, N.-X. Yang, Z.-H. Han, X.-X. Wang, Phys. Lett. A 375, 3794 (2011)

    Article  ADS  Google Scholar 

  32. E.F. El-Shamy, IEEE Trans. Plasma Sci. 38, 909 (2011)

    Article  ADS  Google Scholar 

  33. P. Eslami, M. Mottaghizadeh, H.R. Pakzad, Phys. Scr. 84, 015504 (2011)

    Article  ADS  Google Scholar 

  34. U.N. Ghosh, K. Roy, P. Chatterjee, Phys. Plasmas 18, 103703 (2011)

    Article  ADS  Google Scholar 

  35. E.F. El-Shami, W.A. Awad, Chaos Soliton Fractals 45, 15 (2012)

    Google Scholar 

  36. M. Oikawa, J. Yajima, Suppl. Prog. Theor. Phys. 55, 36 (1974)

    Article  ADS  Google Scholar 

  37. A. Jeffrey, T. Kawahara, Asymptotic Methods in Nonlinear Wave Theory (Pitman, London, 1986)

  38. T. Taniuti, C.C. Wei, J. Phys. Soc. Jpn 24, 941 (1968)

    Article  ADS  Google Scholar 

  39. S. Torvén, Phys. Rev. Lett. 47, 1053 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  40. P. Harvey, C. Durniak, D. Samsonov, G. Morfill, Phys. Rev. E 81, 057401 (2010)

    Article  ADS  Google Scholar 

Download references

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  1. Dipartimento di Matematica e Informatica, Viale A. Doria 6, 95125, Catania, Italy

    P. Carbonaro

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  1. P. Carbonaro
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Carbonaro, P. Head-on collision of ion-acoustic solitary and shock waves in a two-electron-temperature plasma. Eur. Phys. J. D 66, 302 (2012). https://doi.org/10.1140/epjd/e2012-30315-x

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  • DOI: https://doi.org/10.1140/epjd/e2012-30315-x

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