Skip to main content
Log in

Vector solitons generated by the long wave-short wave interaction

  • Plasma, Hydro- and Gas Dynamics
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

A vector generalization of the Yajima-Oikawa equations for the interaction between a quasi-resonance circularly polarized optical pulse and a long-wave electromagnetic spike has been derived. This new system has been shown to be integrable using the method of the inverse scattering transformation. The soliton solutions have been found and analyzed.

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. V. E. Zakharov, Sov. Phys. JETP 35, 908 (1972).

    ADS  Google Scholar 

  2. D. J. Benney, Stud. Appl. Math. 55, 93 (1977).

    Google Scholar 

  3. N. Yajima and M. Oikawa, Progr. Theor. Phys. 56, 1719 (1976).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. R. K. Dodd, J. C. Eilbeck, J. D. Giddon, and H. C. Morris, Solitons and Nonlinear Wave Equations (Academic, New York, 1982; Mir, Moscow, 1988).

    MATH  Google Scholar 

  5. V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, Theory of Solitons: The Inverse Scattering Method (Nauka, Moscow, 1980; Plenum, New York, 1984).

    MATH  Google Scholar 

  6. V. S. L’vov, Nonlinear Spin Waves (Nauka, Moscow, 1987).

    Google Scholar 

  7. A. S. Davydov, Solitons in Molecular Systems (Nauk. Dumka, Kiev, 1984; Reidel, Dordrecht, 1985).

    Google Scholar 

  8. S. V. Sazonov, J. Exp. Theor. Phys. 91, 16 (2000).

    Article  ADS  Google Scholar 

  9. S. V. Sazonov, JETP Lett. 81, 201 (2005).

    Article  ADS  Google Scholar 

  10. S. V. Sazonov and A. F. Sobolevskii, Quantum Electron. 35, 1019 (2005).

    Article  ADS  Google Scholar 

  11. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, CA, 2003; Fizmatgiz, Moscow, 2005).

    Google Scholar 

  12. A. Scott, Nonlinear Science: Emergence and Dynamics of Coherent Structures (Oxford Univ. Press, 1999; Fizmatlit, Moscow, 2007).

  13. A. N. Bugai and S. V. Sazonov, J. Exp. Theor. Phys. 112, 401 (2011).

    Article  ADS  Google Scholar 

  14. V. I. Nayanov, Multifield Solitons (Fizmatlit, Moscow, 2006).

    MATH  Google Scholar 

  15. V. Ya. Demikhovskii and G. A. Vugal’ter, Physics of Quantum Low-Dimensional Structures (Logos, Moscow, 2000) [in Russian].

    Google Scholar 

  16. S. Kočinac, Z. Ikonić, and V. Milanović, Opt. Commun. 140, 89 (1997).

    Article  ADS  Google Scholar 

  17. Li Liang-shi and A. P. Alivisatos, Phys. Rev. Lett. 90, 097402 (2003).

    Article  ADS  Google Scholar 

  18. H. Vogt, Phys. Rev. B 58, 9916 (1998).

    Article  ADS  Google Scholar 

  19. W. Yang, S. Gong, R. Li, and Z. Xu, Phys. Rev. A 74, 013407 (2006).

    Article  ADS  Google Scholar 

  20. L. W. Casperson, Phys. Rev. A 57, 609 (1998).

    Article  ADS  Google Scholar 

  21. A. Brown, W. J. Meath, and P. Tran, Phys. Rev. A 63, 013403 (2000).

    Article  ADS  Google Scholar 

  22. M. Agrotis, N. M. Ercolani, S. A. Glasgow, and J. V. Moloney, Physica D 138, 134 (2000).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. A. I. Maimistov and J.-G. Capmuto, Opt. Spectrosc. 94, 245 (2003).

    Article  ADS  Google Scholar 

  24. S. V. Sazonov, J. Exp. Theor. Phys. 97, 722 (2003).

    Article  ADS  Google Scholar 

  25. S. V. Sazonov and N. V. Ustinov, JETP 100, 256 (2005).

    Article  ADS  Google Scholar 

  26. S. O. Elyutin, J. Exp. Theor. Phys. 101, 11 (2005).

    Article  ADS  Google Scholar 

  27. S. V. Sazonov and N. V. Ustinov, Quantum Electron. 35, 701 (2005).

    Article  ADS  Google Scholar 

  28. S. V. Sazonov and N. V. Ustinov, JETP Lett. 83, 483 (2006); S. V. Sazonov and N. V. Ustinov, J. Exp. Theor. Phys. 103, 561 (2006).

    Article  ADS  Google Scholar 

  29. N. V. Ustinov, Proc. SPIE 6725, 67250F–1 (2007); arXiv:0705.2833.

    Article  ADS  Google Scholar 

  30. S. V. Sazonov and N. V. Ustinov, Opt. Spectrosc. 106, 416 (2009).

    Article  ADS  Google Scholar 

  31. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987; Mir, Moscow, 1978).

    Google Scholar 

  32. S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, The Optics of Femtosecond Pulses (Nauka, Moscow, 1988) [in Russian].

    Google Scholar 

  33. D. H. Auston, A. M. Glass, and A. A. Ballman, Phys. Rev. Lett. 28, 897 (1972).

    Article  ADS  Google Scholar 

  34. A. N. Bugai and S. V. Sazonov, JETP Lett. 92, 232 (2010).

    Article  ADS  Google Scholar 

  35. M. D. Crisp, Phys. Rev. A 8, 2128 (1973).

    Article  ADS  Google Scholar 

  36. A. M. Basharov and A. I. Maimistov, Opt. Spectrosc. 88, 380 (2000).

    Article  ADS  Google Scholar 

  37. S. V. Manakov, Sov. Phys. JETP 40, 269 (1974).

    ADS  MathSciNet  Google Scholar 

  38. A. G. Stepanov, A. A. Mel’nikov, V. O. Kompanets, and S. V. Chekalin, JETP Lett. 85, 227 (2007).

    Article  ADS  Google Scholar 

  39. A. N. Bugai and S. V. Sazonov, JETP Lett. 87, 403 (2008).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. V. Sazonov.

Additional information

Original Russian Text © S.V. Sazonov, N.V. Ustinov, 2011, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2011, Vol. 94, No. 8, pp. 651–656.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sazonov, S.V., Ustinov, N.V. Vector solitons generated by the long wave-short wave interaction. Jetp Lett. 94, 610–615 (2011). https://doi.org/10.1134/S0021364011200112

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364011200112

Keywords

Navigation