Skip to main content
Log in

Slow electromagnetic solitons in electron-ion plasmas

  • Nonlinear Phenomena
  • Published:
Plasma Physics Reports Aims and scope Submit manuscript

Abstract

A set of nonlinear differential equations that describe moving relativistic solitons is investigated analytically and solved numerically. The influence of the ion motion on the soliton structure is investigated. It is demonstrated that, depending on the propagation velocity, relativistic solitary waves can occur in the form of bright solitons, dark solitons, or collisionless electromagnetic shock waves. In the limit of a low propagation velocity, a dark soliton can trap the ions and accelerate them. In the case of a bright soliton, the effects of ion dynamics limit the soliton amplitude. The constraint on the maximum amplitude is related to either the breaking of ion motion or the intersection of electron trajectories. The soliton breaking provides a new mechanism for ion and electron acceleration in the interaction of high-intensity laser pulses with plasmas.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974; Mir, Moscow, 1977).

    Google Scholar 

  2. S. V. Bulanov, I. N. Inovenkov, V. I. Kirsanov, et al., Phys. Fluids B 4, 1935 (1992).

    ADS  Google Scholar 

  3. S. V. Bulanov, T. Zh. Esirkepov, N. M. Naumova, et al., Phys. Rev. Lett. 82, 3440 (1999).

    Article  ADS  Google Scholar 

  4. S. V. Bulanov, F. Califano, T. Zh. Esirkepov, et al., J. Plasma Fusion Res. 75, 506 (1999).

    Google Scholar 

  5. S. V. Bulanov, F. Califano, T. Zh. Esirkepov, et al., Physica D (Amsterdam) 152–153, 682 (2001).

    Google Scholar 

  6. S. V. Bulanov, N. M. Naumova, and F. Pegoraro, Phys. Plasmas 1, 745 (1994).

    Article  ADS  Google Scholar 

  7. T. Honda, K. Nishihara, T. Okamoto, et al., J. Plasma Fusion Res. 75, 219 (1999).

    Google Scholar 

  8. Y. Sentoku, T. Zh. Esirkepov, K. Mima, et al., Phys. Rev. Lett. 83, 3434 (1999).

    Article  ADS  Google Scholar 

  9. C. A. Coverdale, C. B. Darrow, C. D. Decker, et al., Fiz. Plazmy 22, 685 (1996) [Plasma Phys. Rep. 22, 617 (1996)].

    Google Scholar 

  10. J. I. Gerstein and N. Tzoar, Phys. Rev. Lett. 35, 934 (1975).

    ADS  Google Scholar 

  11. N. L. Tsintsadze and D. D. Tskhakaya, Zh. Éksp. Teor. Fiz. 72, 480 (1977) [Sov. Phys. JETP 45, 252 (1977)]; L. N. Tsintsadze, K. Nishikawa, T. Tajima, and T. Mendonca, Phys. Rev. E 60, 7435 (1999).

    ADS  Google Scholar 

  12. V. A. Kozlov, A. G. Litvak, and E. V. Suvorov, Zh. Éksp. Teor. Fiz. 76, 148 (1979) [Sov. Phys. JETP 49, 75 (1979)].

    ADS  Google Scholar 

  13. P. K. Shukla, N. N. Rao, M. Y. Yu, and N. L. Tsintsadze, Phys. Rep. 138, 1 (1986).

    Article  ADS  Google Scholar 

  14. A. G. Litvak, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1980; Consultants Bureau, New York, 1986), Vol. 10.

    Google Scholar 

  15. P. K. Kaw, A. Sen, and T. Katsouleas, Phys. Rev. Lett. 68, 3172 (1992).

    Article  ADS  Google Scholar 

  16. T. Zh. Esirkepov, F. F. Kamenets, S. V. Bulanov, and N. M. Naumova, Pis’ma Zh. Éksp. Teor. Fiz. 68, 33 (1998) [JETP Lett. 68, 36 (1998)].

    Google Scholar 

  17. D. Farina, M. Lontano, and S. V. Bulanov, Phys. Rev. E 62, 4146 (2000).

    Article  ADS  Google Scholar 

  18. G. A. Mourou, C. P. J. Barty, and D. Perry, Phys. Today 51 (1), 22 (1998).

    ADS  Google Scholar 

  19. G. S. Sarkisov, V. Yu. Bychenkov, V. N. Novikov, et al., Phys. Rev. E 59, 7042 (1999).

    Article  ADS  Google Scholar 

  20. T. Zh. Esirkepov, Y. Sentoku, F. Califano, et al., Pis’ma Zh. Éksp. Teor. Fiz. 70, 80 (1999) [JETP Lett. 70, 82 (1999)].

    Google Scholar 

  21. K. Krushelnik, E. L. Clark, M. Zepf, et al., Phys. Plasmas 7, 2055 (2000).

    ADS  Google Scholar 

  22. S. V. Bulanov, T. Zh. Esirkepov, F. Califano, et al., Pis’ma Zh. Éksp. Teor. Fiz. 71, 593 (2000) [JETP Lett. 71, 407 (2000)].

    Google Scholar 

  23. R. A. Snavely, M. H. Key, S. P. Hatchett, et al., Phys. Rev. Lett. 85, 2945 (2000).

    Article  ADS  Google Scholar 

  24. Y. Sentoku, T. V. Lisseikina, T. Zh. Esirkepov, et al., Phys. Rev. E 62, 7271 (2000).

    Article  ADS  Google Scholar 

  25. A. V. Kuznetsov, T. Zh. Esirkepov, F. F. Kamenets, and S. V. Bulanov, Fiz. Plazmy 27, 225 (2001) [Plasma Phys. Rep. 27, 211 (2001)].

    Google Scholar 

  26. S. V. Bulanov, V. A. Vshivkov, G. I. Dudnikova, et al., Fiz. Plazmy 25, 764 (1999) [Plasma Phys. Rep. 25, 701 (1999)].

    Google Scholar 

  27. K. Mima, T. Ohsuga, H. Takabe, et al., Phys. Rev. Lett. 57, 1421 (1986).

    Article  ADS  Google Scholar 

  28. L. M. Gorbunov, P. Mora, R. R. Ramazashvili, and A. A. Solodov, Phys. Plasmas 7, 375 (2000).

    Article  ADS  Google Scholar 

  29. A. I. Akhiezer and R. V. Polovin, Zh. Éksp. Teor. Fiz. 30, 915 (1956) [Sov. Phys. JETP 3, 696 (1956)].

    Google Scholar 

  30. Yu. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 8 (1998).

    Article  Google Scholar 

  31. Yu. S. Kivshar and D. P. Pelinovsky, Phys. Rep. 331, 117 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  32. S. Burger, K. Bongs, S. Dettmer, et al., Phys. Rev. Lett. 83, 5198 (1999).

    Article  ADS  Google Scholar 

  33. K. Burnett, M. Edwards, and C. W. Clark, Phys. Today 52, 37 (1999).

    ADS  Google Scholar 

  34. D. Farina and S. V. Bulanov, Phys. Rev. Lett. (in press).

  35. P. Kaw and J. M. Dawson, Phys. Fluids 13, 477 (1970).

    Google Scholar 

  36. J. H. Marburger and R. F. Tooper, Phys. Rev. Lett. 35, 1001 (1975).

    Article  ADS  Google Scholar 

  37. V. V. Goloviznin and T. Schep, Pis’ma Zh. Éksp. Teor. Fiz. 70, 445 (1999) [JETP Lett. 70, 450 (1999)].

    Google Scholar 

  38. F. Cattani, A. Kim, D. Anderson, and M. Lisak, Phys. Rev. E 62, 1234 (2000).

    Article  ADS  Google Scholar 

  39. A. Kim, F. Cattani, D. Anderson, and M. Lisak, Pis’ma Zh. Éksp. Teor. Fiz. 72, 335 (2000) [JETP Lett. 72, 241 (2000)].

    Google Scholar 

  40. R. Z. Sagdeev, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1964; Consultants Bureau, New York, 1968), Vol. 4.

    Google Scholar 

  41. A. R. Champneys, Physica D (Amsterdam) 112, 158 (1998).

    ADS  MathSciNet  Google Scholar 

  42. V. I. Berezhiani and S. M. Mahajan, Phys. Rev. Lett. 73, 1110 (1994).

    ADS  Google Scholar 

  43. R. N. Sudan, Ya. S. Dimant, and O. B. Shiryaev, Phys. Plasmas 4, 1489 (1997).

    ADS  Google Scholar 

  44. H. H. Kuehl and C. Y. Zhang, Phys. Rev. E 48, 1316 (1993).

    Article  ADS  Google Scholar 

  45. H. Krammer, E. W. Laedke, and K. H. Spatschek, Phys. Rev. Lett. 52, 1226 (1984).

    ADS  Google Scholar 

  46. N. M. Naumova, S. V. Bulanov, T. Zh. Esirkepov, et al., Phys. Rev. Lett. (in press).

  47. M. Roth, T. E. Cowan, M. H. Key, et al., Phys. Rev. Lett. 86, 436 (2001).

    Article  ADS  Google Scholar 

  48. H. Ruhl, S. V. Bulanov, T. E. Cowan, et al., Fiz. Plazmy 27, 387 (2001) [Plasma Phys. Rep. 27, 363 (2001)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Fizika Plazmy, Vol. 27, No. 8, 2001, pp. 680–692.

Original Russian Text Copyright © 2001 by Farina, Bulanov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Farina, D., Bulanov, S.V. Slow electromagnetic solitons in electron-ion plasmas. Plasma Phys. Rep. 27, 641–651 (2001). https://doi.org/10.1134/1.1390536

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1390536

Keywords

Navigation