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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 36, Iss. 3 — Feb. 1, 2011
  • pp: 397–399

A quantitative approach to soliton instability

Boaz Ilan, Yonatan Sivan, and Gadi Fibich  »View Author Affiliations

Optics Letters, Vol. 36, Issue 3, pp. 397-399 (2011)

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We present an approach for instabilities of solitons that is based on the spectrum of a fourth-order linearized operator. Unlike the standard approach which is based on the slope (Vakhitov–Kolokolov) condition, this approach provides the quantitative value of the instability rate and the qualitative nature of the instability dynamics.

© 2011 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: October 29, 2010
Revised Manuscript: December 21, 2010
Manuscript Accepted: December 22, 2010
Published: January 31, 2011

Boaz Ilan, Yonatan Sivan, and Gadi Fibich, "A quantitative approach to soliton instability," Opt. Lett. 36, 397-399 (2011)

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  1. M. G. Vakhitov and A. A. Kolokolov, Radiophys. Quantum Electron. 16, 783 (1973). [CrossRef]
  2. Y. Sivan, G. Fibich, and B. Ilan, Phys. Rev. E 77, 045601(R) (2008). [CrossRef]
  3. Y. Sivan, B. Ilan, G. Fibich, and M. I. Weinstein, Phys. Rev. E 78, 046602 (2008). [CrossRef]
  4. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999). [CrossRef]
  5. Y. Sivan, G. Fibich, N. K. Efremidis, and S. Barad, Nonlinearity 21, 509 (2008). [CrossRef]
  6. M. I. Weinstein, SIAM J. Math. Anal. 16, 472 (1985). [CrossRef]
  7. M. I. Weinstein, Commun. Pure Appl. Math. 39, 51 (1986). [CrossRef]
  8. M. J. Ablowitz and Z. H. Musslimani, Opt. Lett. 30, 2140 (2005). [CrossRef] [PubMed]
  9. J. Yang, J. Comput. Phys. 228, 7007 (2009). [CrossRef]
  10. D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, Phys. Rev. Lett. 95, 023902 (2005). [CrossRef] [PubMed]
  11. J. Yang and Z. Chen, Phys. Rev. E 73, 026609 (2006). [CrossRef]
  12. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, Opt. Lett. 31, 2595 (2006). [CrossRef] [PubMed]

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