Dark-dark solitons for a set of the coupled nonlinear Schrödinger equations in a birefringent fiber

Yu-Qiang Yuan, Bo Tian, Lei Liu, Yan Sun and Zhong Du

Chaos, Solitons & Fractals, 2018, vol. 107, issue C, 216-221

Abstract: In this paper, we investigate a set of the coupled nonlinear Schrödinger equations with the four-wave mixing term, which describes the optical solitons in a birefringent fiber. Via the Kadomtsev–Petviashvili hierarchy reduction, we obtain the nondegenerate N-dark-dark soliton solutions in the Gram determinant form. Based on such solutions, we get the nondegenerate dark-dark solitons. With the analytic and graphic analysis, soliton propagating on a periodic background is presented. Via the asymptotic analysis, we find that the interaction between the two dark-dark solitons is elastic, and such an elastic interaction is shown graphically. Moreover, we also present the three dark-dark and bound-state dark-dark solitons.

Keywords: Birefringent fiber; Set of the coupled nonlinear Schrödinger equations; Four-wave mixing effect; Kadomtsev–Petviashvili hierarchy reduction; Dark-dark solitons (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:107:y:2018:i:c:p:216-221

DOI: 10.1016/j.chaos.2017.12.015

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