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• W3118984876 abstract "Temporal birefringent effects in the fibers change the crosstalk behaviors inside and between the fiber cores in the linear and non-linear optical power areas. This paper studies a non-linear Schrödinger system with the four-wave mixing term, which describes the optical solitons in a birefringent fiber. We construct the generalized Darboux transformation, and acquire the higher-order semirational solutions consisting of the second- and third-order semirational solutions, which represent the complex amplitudes of the electric fields in the two orthogonal polarizations. We acquire the interactions between/among the two/three solitons. Such interactions are elastic and generate the rogue waves around the interacting regions. We obtain the interactions among the second-/third-order rogue waves and two/three solitons, respectively. When [Formula: see text] decreases, amplitude of the second-order rogue wave increases, with [Formula: see text] and [Formula: see text] accounting for the self-phase modulation and cross-phase modulation, respectively, while [Formula: see text] representing the four-wave mixing effect. With [Formula: see text] kept invariant, when [Formula: see text] increases and [Formula: see text], amplitudes of the second-order rogue wave and two bright solitons increase, while when [Formula: see text] increases and [Formula: see text], amplitudes of the second-order rogue wave and two dark solitons increase, with [Formula: see text] and [Formula: see text] being the constants." @default.
• W3118984876 created "2021-01-18" @default.
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• W3118984876 date "2020-12-31" @default.
• W3118984876 modified "2023-10-16" @default.
• W3118984876 title "Generalized Darboux transformation and the higher-order semirational solutions for a non-linear Schrödinger system in a birefringent fiber" @default.
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• W3118984876 doi "https://doi.org/10.1142/s0217984921500135" @default.
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