Abstract
The interaction dynamics of in-phase Bragg grating gap solitons in a semilinear dual-core optical waveguide, where one core has cubic-quintic nonlinearity and equipped with Bragg grating and the other is linear, are investigated. The model supports two disjoint families of Bragg grating solitons (referred as Type 1 and Type 2). It is found that the interactions of two stable in-phase (Δθ = 0) quiescent solitons result in several outcomes. The possible interaction outcomes between two solitons may include symmetric or asymmetric separation, merger into one quiescent or moving soliton, destruction of one or both solitons and the formation of three solitons. It is found that the outcomes of the interactions are dependent upon the strength of quintic nonlinearity (q), initial separation (Δx) of the solitons, coupling-coefficient (κ) between the cores and the group velocity term (c) in the linear core.
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