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

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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