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Embedded Solitons in a Three-Wave System

Alan R. Champneys·Boris A. Malomed
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Abstract

We report a rich spectrum of isolated solitons residing inside ({\it embedded } into) the continuous radiation spectrum in a simple model of three-wave spatial interaction in a second-harmonic-generating planar optical waveguide equipped with a quasi-one-dimensional Bragg grating. An infinite sequence of fundamental embedded solitons are found, which differ by the number of internal oscillations. Branches of these zero-walkoff spatial solitons give rise, through bifurcations, to several secondary branches of walking solitons. The structure of the bifurcating branches suggests a multistable configuration of spatial optical solitons, which may find straightforward applications for all-optical switching.

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Alan R. Champneys, Boris A. Malomed. 1999-11-19. Embedded Solitons in a Three-Wave System. https://doi.org/10.1103/physreve.61.886

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