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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 21, Iss. 5 — May. 1, 2004
  • pp: 982–988

Stable periodic waves supported by competing cubic-quintic nonlinearity

Yaroslav V. Kartashov, Victor A. Vysloukh, Alexey A. Egorov, and Anna S. Zelenina  »View Author Affiliations


JOSA B, Vol. 21, Issue 5, pp. 982-988 (2004)
http://dx.doi.org/10.1364/JOSAB.21.000982


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Abstract

We perform a linear stability analysis of stationary periodic waves in cubic–quintic nonlinear media and show that weak χ(5) nonlinearity can lead to stabilization of cnoidal and destabilization of snoidal periodic wave patterns existing in focusing and defocusing χ(3) media, respectively. Direct computer simulations confirm results of the linear stability analysis. The stabilization of periodic waves is expected to be a common phenomenon in physical systems where focusing–defocusing, attractive–repulsive, nonlinear self-actions compete with each other.

© 2004 Optical Society of America

OCIS Codes
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5940) Nonlinear optics : Self-action effects

Citation
Yaroslav V. Kartashov, Victor A. Vysloukh, Alexey A. Egorov, and Anna S. Zelenina, "Stable periodic waves supported by competing cubic-quintic nonlinearity," J. Opt. Soc. Am. B 21, 982-988 (2004)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-21-5-982

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