WIAS Preprint No. 1198, (2007)

Modulational instability of discrete solitons in coupled waveguides with group velocity dispersion



Authors

  • Yulin, Alexey
  • Skryabin, Dmitry
  • Vladimirov, Andrei G.

2010 Mathematics Subject Classification

  • 78A60 37K45 37K40

2008 Physics and Astronomy Classification Scheme

  • 2.65.-k,42.65.Tg,42.65.Sf,42.81.Qb,42.81.Dp

Keywords

  • Discrete solitons, modulational instability, waveguide arrays

DOI

10.20347/WIAS.PREPRINT.1198

Abstract

We study temporal modulational instability of spatial discrete solitons in waveguide arrays with group velocity dispersion (GVD). For normal GVD we report existence of the strong 'neck'-type instability specific for the discrete solitons. For anomalous GVD the instability leads to formation of the mixed discrete-continuous spatio-temporal quasi-solitons. Feasibility of experimental observation of these effects in the arrays of silicon-on-insulator waveguides is discussed.

Appeared in

  • Optics Express, 14 (2006) pp. 12347--12352.

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