Skip to main content
SpringerLink
Log in

Transient soliton dynamics in perturbation fields

  • Original Contributions
  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

Transient soliton dynamics for perturbatively driven and damped sG andφ 4 solitons was found fort ≤Γ −1. The perturbed solitons remain stable with relativistic reduced time-dependent width. Internal oscillation modes of the solitons are asymptotically damped fort ≫Γ −1. There appears a relaxation regime with the field dependent superexponential relaxation of the soliton width which becomes exponential in the asymptotic regime.

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. Rajaraman, R.: Solitons and instantons. Amsterdam, New York, Oxford: North-Holland 1982; Salerno, M., Joergensen, E., Samuelsen, M.R.: Phys. Rev. B30, 2635 (1984)

    Google Scholar 

  2. Kivshar, Yu.S., Malomed, B.A.: Rev. Mod. Phys.61, 763 (1989)

    Google Scholar 

  3. Ariyasu, J.C., Bishop, A.R.: Phys. Rev. B35, 3207 (1987)

    Google Scholar 

  4. McLaughlin, D.W., Scott, A.C.: Phys. Rev. A18, 1652 (1978)

    Google Scholar 

  5. Collins, M.A., Blumen, A., Currie, J.F.: Phys. Rev. B19, 3630 (1979); Boesch, R., Stancioff, P., Willis, C.R.: Phys. Rev. B38, 6713 (1988); Gonzalez, J.A., Holyst, J.A.: Phys. Rev. B35, 3643 (1987)

    Google Scholar 

  6. Majerníková, E.: Z. Phys. B—Condensed Matter78, 507 (1990)

    Google Scholar 

  7. Büttiker, M., Thomas, H.: Phys. Rev. A37, 235 (1988)

    Google Scholar 

  8. Rice, M.J.: Phys. Rev. B28, 3587 (1983)

    Google Scholar 

  9. Boesch, R., Willis, C.R., El-Batanouny, M.: Phys. Rev. B40, 2284 (1989)

    Google Scholar 

  10. Boesch, R., Willis, C.R.: Phys. Rev. B42, 2290 (1990)

    Google Scholar 

  11. Bergman, D.J., et al.: Phys. Rev. A27, 3345 (1983)

    Google Scholar 

  12. Rodríguez-Plaza, M.J., Vàzquez, L.: Phys. Rev. B41, 11437 (1990)

    Google Scholar 

  13. Olsen, O.H., Samuelsen, M.R.: Phys. Rev. B28, 210 (1983)

    Google Scholar 

  14. Reinisch, G., Fernandez, J.C.: Phys. Rev. B24, 835 (1981)

    Google Scholar 

  15. Adams, L.W.: Phys. Rev. A21, 1648 (1980)

    Google Scholar 

  16. Christ, N.H., Lee, T.D.: Phys. Rev. D12, 1606 (1975)

    Google Scholar 

  17. Elmer, F.J.: Phys. Rev. A41, 4174 (1990)

    Google Scholar 

  18. Caldeira, A.O., Leggett, A.J.: Ann. Phys. (N. Y.)149, 374 (1983)

    Google Scholar 

  19. Hänggi, P., Marchesoni, F., Sodano, P.: Phys. Rev. Lett.60, 2563 (1988)

    Google Scholar 

  20. Marchesoni, F.: Europhys. Lett.8, 83 (1989)

    Google Scholar 

  21. Kamke, E.: Differentialgleichungen, Leipzig 1959

  22. Compagno, G., Passante, R., Persico, F.: Europhys. Lett.12, 301 (1990)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, CS-842 28, Bratislava, Czechoslovakia

    Eva Majerníková & Gabriel Drobný

Authors
  1. Eva Majerníková
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gabriel Drobný
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Majerníková, E., Drobný, G. Transient soliton dynamics in perturbation fields. Z. Physik B - Condensed Matter 89, 123–128 (1992). https://doi.org/10.1007/BF01320837

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01320837

Keywords

Search

Navigation