Abstract
We study the dynamic behaviors of mixed localized solutions for the three-component coupled Fokas–Lenells (FL) system. First, the corresponding Lax pair and the generalized (n, M)-fold Darboux transformation are constructed. Second, the first- and second-order mixed localized solutions of the three-component FL system are given and their dynamic features are investigated. These results further reveal the interesting dynamic behaviors of the higher-order mixed localized solutions in the multi-component coupled FL system. At last, the corresponding modulation instability is studied.
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