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Asymmetric dark solitons in nonlinear lattices

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Abstract

New types of stable discrete solitons are discovered. They represent the first example of asymmetric dark solitons and shock waves with a nonzero background. Both types of solutions exhibit a strong intrinsic phase dynamics. Their domains of existence and criteria of stability are identified. Numerical experiments support the analytical findings.

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References

  1. A. C. Scott, Phys. Rep. 217, 1 (1992); S. Flach and C. R. Willis, Phys. Rep. 295, 181 (1998); D. Hennig and G. P. Tsironis, Phys. Rep. 307, 333 (1999); R. Lai and A. J. Sievers, Phys. Rep. 314, 147 (1999); F. Lederer, S. Darmanyan, and A. Kobyakov, in Spatial Solitons, Ed. by W. Torruellas and S. Trillo (Springer-Verlag, Berlin, 2001) (in press).

    Article  ADS  Google Scholar 

  2. A. S. Dolgov, Fiz. Tverd. Tela (Leningrad) 28, 1641 (1986) [Sov. Phys. Solid State 28, 907 (1986)]; A J. Sievers and S. Takeno, Phys. Rev. Lett. 61, 970 (1988); J. B. Page, Phys. Rev. B 41, 7835 (1990).

    Google Scholar 

  3. D. Cai, A. R. Bishop, and N. Grönbech-Jensen, Phys. Rev. Lett. 72, 591 (1994).

    Article  ADS  Google Scholar 

  4. S. Darmanyan, A. Kobyakov, and F. Lederer, Zh. Éksp. Teor. Fiz. 113, 1253 (1998) [JETP 86, 682 (1998)].

    Google Scholar 

  5. E. W. Laedke, O. Kluth, and K. H. Spatschek, Phys. Rev. E 54, 4299 (1996).

    Article  ADS  Google Scholar 

  6. D. Hennig and H. Gabriel, Phys. Rev. E 57, 2371 (1998).

    Article  ADS  Google Scholar 

  7. S. Darmanyan, A. Kobyakov, F. Lederer, and L. Vázquez, Phys. Rev. B 59, 5994 (1999); A. Kobyakov, S. Darmanyan, T. Pertsch, and F. Lederer, J. Opt. Soc. Am. B 16, 1737 (1999).

    Article  ADS  Google Scholar 

  8. Yu. S. Kivshar, W. Krolikowski, and O. Chubykalo, Phys. Rev. E 50, 5020 (1994).

    ADS  Google Scholar 

  9. V. V. Konotop and S. Takeno, Phys. Rev. E 60, 1001 (1999); V. V. Konotop and M. Salerno, Phys. Rev. E 56, 3611 (1997).

    ADS  Google Scholar 

  10. M. Johansson and Yu. S. Kivshar, Phys. Rev. Lett. 82, 85 (1999).

    Article  ADS  Google Scholar 

  11. A. Kobyakov, S. Darmanyan, F. Lederer, and E. Schmidt, Opt. Quantum Electron. 30, 795 (1998).

    Article  Google Scholar 

  12. M. Johansson and S. Aubry, Nonlinearity 10, 1151 (1997).

    Article  ADS  MathSciNet  Google Scholar 

  13. D. N. Cristodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).

    ADS  Google Scholar 

  14. H. S. Eisenberg, Y. Silberger, R. Morandotti, et al., Phys. Rev. Lett. 81, 3383 (1998); R. Morandotti, U. Peschel, J. S. Aitchison, et al., Phys. Rev. Lett. 83, 2726 (1999); U. Peschel, R. Morandotti, J. S. Aitchison, et al., Appl. Phys. Lett. 75, 1348 (1999).

    Article  ADS  Google Scholar 

  15. Yu. Kivshar and M. Peyrard, Phys. Rev. A 46, 3198 (1992).

    ADS  Google Scholar 

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From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 120, No. 2, 2001, pp. 486–492.

Original English Text Copyright © 2001 by Darmanyan, Kobyakov, Lederer.

This article was submitted by the authors in English.

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Darmanyan, S., Kobyakov, A. & Lederer, F. Asymmetric dark solitons in nonlinear lattices. J. Exp. Theor. Phys. 93, 429–434 (2001). https://doi.org/10.1134/1.1402744

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