title: Embedded solitons in a three-wave system
abstract: We report a rich spectrum of isolated solitons residing inside (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 is found, each one differing 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.
authors.affiliation: Department of Engineering Mathematics, The University of Bristol, Bristol BS8 1TR, United Kingdom.
authors.initials: AR
authors.lastname: Champneys
authors.initials: BA
authors.lastname: Malomed