Ion Thermal Rogue Waves Behaviour in Pure Pair-Ion Plasma

Authors

  • H. N. Abd El-Razek  Theoretical Physics Group, Department of Physics, Faculty of Science, Damietta University, New Damietta, Egypt
  • I. M. Rizk  Theoretical Physics Group, Department of Physics, Faculty of Science, Damietta University, New Damietta, Egypt

Keywords:

Pair-Ion plasma, Rouge wave, Ion thermal plasma, Extended Modified Kortewegde Vries equation (EMKdV) and Nonlinear Schrodinger equation (NLSE)

Abstract

The properties of ion thermal rogue waves in unmagnified warm pair-ion plasma in the vicinity of the critical density of the negative ions are investigated. Using the reductive perturbation theory, an extended modified Korteweg-de Vries equation (EMKdV) is obtained. At small wave number and using the derivative expansion method the EMKdV equation is reduced to the corresponding nonlinear Schrödinger equation (NLSE). In the regions of the modulation instability, rogue waves are formed. It is found that the different system parameters have remarkable effects on both the possibility of forming the rogue waves as well as their amplitudes.

References

  1. J. P. Schermann and F.G. Major, Appl. Phys. 16, 225 (1978).
  2. W. Oohara, R. Hatakeyama, Phys. Rev. Lett. 91, 205005 (2003).
  3. W. Masood and H. Rizvi, Phys. plasmas 19, 012119 (2012).
  4. C. Surko, M. Leventhal, and A. Passner, Phys. Rev. Lett. 62, 901 (1989).
  5. T. Kurihara, et.al., Nucl. Instrum Methods Phys. Res. B 171, 164 (2000).
  6. W. Oohara, D. Date, and R. Hatakeyama, Phys. Rev. Lett. 95, 175003(2005).
  7. H. Saleem, Phys. Plasmas 13, 044502 (2006).
  8. H. Saleem, AIP Conference Proceedings 1061, 255 (2008).
  9. X. Jukui, Chaos, Solitons and Fractals 18, 849 (2003).
  10. S.K. El-Labany, W.M. Moslem, N.A. El-Bedwehy, R. Sabry, and H.N. Abd El-Razek, Astrophys Space Sci. 338, 3 (2012).
  11. W. M. Moslem, P. K. Shula, and B. Eliasson, EPL 96, 25002 (2011).
  12. C. Kharif and E. Pelinovsky, Eur. J. Mech.B/Fluids 22, 603 (2003).
  13. D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature (London) 450, 1054 (2007).
  14. Kibler B., et al., Nat. Phys. (London), 6, 790 (2010).
  15. M. Shats, H. Punzmann, and H. Xia, Phys. Rev. Lett. 104, 104503 (2010).
  16. Yu.V. Bludov, V. V. Konotop, and N. Akhmediev, Phys. Rev. A 80, 033610 (2009).
  17. Yu.V. Bludov, V. V. Konotop, and N. Akhmediev, Eur. Phys. J. ST, 185,169 (2010).
  18. A. N. Ganshin, V. B. Efimov, G. V. Kolmakov, L. P. Mezhov-Deglin, and P. V. E. McClintock, Phys. Rev. Lett. 101, 065303 (2008).
  19. A. Montina, U. Bortolozzo, S. Residori, and F.T. Arecchi, Phys. Rev.Lett. 103, 173901 (2009).
  20. M. Marklund and L. Stenflo, Physics 2 , 86 (2009).
  21. S.A. El-Tantawy and W. M. Moslem, Phys. Plasmas 21, 052112 (2014).
  22. H. Washimi and T. Taniuti, Phys. Rev. Lett. 17, 996 (1966).
  23. S. K. El-Labany and A. El-Sheikh, Astrophys. Space Sci. 197, 289 (1992).
  24. W. M. Moslem. J. Plasma Phys. 61, 177 (1999).
  25. S. Watanabe, J. Phys. Soe. Japan 53, 950 (1984).
  26. N. Asano, T. Taniuti, and N. Yajima, J. Math. Phys. 10, 2020 (1969); T. Taniuti and N. Yajima, ibid. 10, 1369 (1969); K. Shimizu and Y. Ichikawa, J. Phys. Soc. Jpn. 33, 789 (1972).
  27. A. Ankiewicz, N. Devine, and N. Akhmediev, Phys.Lett. A 373, 3997 (2009).

International Journal of Scientific Research in Science, Engineering and Technology

Downloads

Published

2016-02-25

Issue

Volume 2, Issue 1, January-February-2016

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
H. N. Abd El-Razek, I. M. Rizk, " Ion Thermal Rogue Waves Behaviour in Pure Pair-Ion Plasma, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 1, pp.363-368, January-February-2016.