Interaction of Bragg grating solitons in a cubic–quintic medium

Abstract

We investigate the interaction of Bragg grating solitons in a cubic–quintic nonlinear medium. In a previous work two different families of solitons have been identified in such a medium, which are separated by a border 1−ω = 27/(160ν), where −1 0 controls the strength of quintic nonlinearity. We find that two zero-velocity solitons belonging to the region 1−ω 27/(160ν) is similar to the other family in that when Δ = 0 they attract, and they repel when Δ = π and π/2. However, in the case of Δ = 0 and π/2 the interaction always results in the deformation and subsequent destruction of solitons.