Skip to main content
SpringerLink
Log in

Spontaneous soliton formation with a saturated nonlinearity in a weakly nonlinear medium

  • Optics And Spectroscopy
  • Published:
Russian Physics Journal Aims and scope

Abstract

We have observed the effect of a saturated nonlinearity on the process of spontaneous soliton formation in a weakly nonlinear medium with absorption. The characteristic properties of the problem are investigated on the basis of a model equation designated as a nonlinear Schrodinger equation with small perturbations describing the saturation of the nonlinearity and the absorption. The stability of the process of decay of the initial pulse is demonstrated by computational methods for a few specific cases. An effect described as an oscillation of the amplitude maximum of the formed pulse has been discovered.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. N. G. Basov and A. M. Prokhorov, Ukr. Fiz. Nauk.,57, No. 3, 485 (1955).

    Google Scholar 

  2. A. Newel, Solitons in Mathematics and Physics, Soc. Ind. Appl. Math. Philadelphia (1985).

  3. V. E. Zakharov, S. V. Manaev, S. N. Novikov, and L. P. Pitaevskii, Theory of Solitons: The Inverse Problem Method [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  4. S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses, Am. Inst. Phys., NY (1992).

    Google Scholar 

  5. F. Kh. Abdullaev, S. A. Darmanyan, and P. K. Khabibullaev, Optical Solitons, Springer, Berlin-New York (1993).

    Google Scholar 

  6. V. I. Karpman and E. M. Maslov, Zh. Éksp. Teor. Fiz.,73, No. 2 (8) (1977).

  7. A. I. Maimistov, Zh. Éksp. Teor. Fiz.,104, No. 5 (11) (1993).

  8. É. V. Lugin and A. V. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 36–39 (1989).

  9. V. A. Donchenko, M. V. Kabanov, and É. V. Lugin, et al., Optika Atmosfery,1, No. 1, 67–71 (1988).

    Google Scholar 

  10. N. A. Nalivaiko and A. V. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 7, 107–108 (1990).

  11. V. A. Donchenko, M. V. Kabanov, and É. V. Lugin, et al., Optika Atmosfery,2, No. 12, 1286–1290 (1989).

    Google Scholar 

  12. V. A. Donchenko and Yu. A. Kreidun, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 107–108 (1994).

  13. J. Satsuma and N. Yajima, Prog. Theor. Phys. Suppl.,55, 284 (1974).

    Google Scholar 

Download references

Authors
  1. V. A. Donchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. A. Kreidun
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. A. Nalivaiko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

V. D. Kuznetsov Siberian Physicotechnical Institute, Tomsk University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 73–76, June, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Donchenko, V.A., Kreidun, Y.A. & Nalivaiko, A.A. Spontaneous soliton formation with a saturated nonlinearity in a weakly nonlinear medium. Russ Phys J 38, 605–608 (1995). https://doi.org/10.1007/BF00559928

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00559928

Keywords

Search

Navigation