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We study soliton dynamics in a recently introduced model of two coupled waves propagating in a hollow-core fiber, which combines a linear dispersionless core mode and a dispersive nonlinear surface one (including the third-order dispersion). A bandgap opens in the system’s spectrum due to the linear coupling between the modes. By computing the instability growth rate for the gap solitons filling the...
A model of a two-dimensional optical waveguide with the Kerr nonlinearity and two transversal (cross-)Bragg gratings (BGs) is considered. Four waves trapped in the waveguide are coupled linearly by reflections on the cross-BG, and nonlinearly by self-phase-modulation, cross-phase-modulation, and four-wave-mixing. One-dimensional gap solitons (GSs) in the model are found by means of the variational...
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