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Interactions of vector anti-dark solitons for the coupled nonlinear Schrödinger equation in inhomogeneous fibers

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Abstract

We investigate the interactions of vector anti-dark solitons for variable coefficients coupled nonlinear Schrödinger equation, which governs the propagation mechanisms of electromagnetic waves in inhomogeneous birefringent fibers. Based on the Hirota method, various interactions in the inhomogeneous system are studied analytically. The double-S structure interactions are presented in this paper for the first time. The influences of relevant parameters on S-shape solitons are discussed. Periodical transmitting anti-dark solitons are presented by analyzing the effects on their amplitude, phase and intensity, respectively. Results in this paper may be potential applications for designing the birefringence managed switching and dark soliton fiber lasers.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11674036), by the Beijing Youth Top-notch Talent Support Program (Grant No. 2017000026833ZK08) and by the Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications, Grant Nos. IPOC2016ZT04 and IPOC2017ZZ05). This work of Qin Zhou was supported by the National Natural Science Foundation of China (Grant Nos. 11705130 and 1157149), this author was also sponsored by the Chutian Scholar Program of Hubei Government in China.

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Authors and Affiliations

  1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing, 100876, People’s Republic of China

    Yujia Zhang, Chunyu Yang, Weitian Yu & Wenjun Liu

  2. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, 44891-63157, Iran

    Mohammad Mirzazadeh

  3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, People’s Republic of China

    Qin Zhou

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  1. Yujia Zhang
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  2. Chunyu Yang
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  3. Weitian Yu
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Correspondence to Qin Zhou or Wenjun Liu.

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Zhang, Y., Yang, C., Yu, W. et al. Interactions of vector anti-dark solitons for the coupled nonlinear Schrödinger equation in inhomogeneous fibers. Nonlinear Dyn 94, 1351–1360 (2018). https://doi.org/10.1007/s11071-018-4428-2

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