Abstract
The existence and stability of moving gap solitons in coupled Bragg gratings with cubic–quintic nonlinearity are investigated. It is shown that the model supports two disjoint families of solitons, known as Type 1 and Type 2 solitons, which fill the entire bandgap. There exist symmetric and asymmetric moving gap solitons within each family of solitons. By means of systematic numerical stability analysis, the stability regions in the plane of the coefficient of quintic nonlinearity versus frequency have been identified. We have analyzed the effects and interplay of quintic nonlinearity, coupling coefficient, and velocity on the stability of solitons and the stability regions.
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