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Interaction properties of solitonics in inhomogeneous optical fibers

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Abstract

In this paper, a generalized nonlinear Schrödinger equation with variable dispersion and nonlinear coefficients, which can be used to describe the pulse transmission in inhomogeneous optical fibers, is investigated analytically. By virtue of the Hirota method, analytic multiple soliton solutions are obtained. Interactions between solitonics are presented through choosing specific nonlinearity functions, and interaction properties of them are analyzed. Results obtained may potentially be useful in the area of optical communications.

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Acknowledgements

This work of Wenjun Liu was supported by the National Natural Science Foundation of China (Grant Nos. 11674036 and 11875008), 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), and this author was also sponsored by the Chutian Scholar Program of Hubei Government in China. The research work of Milivoj Belic was supported by Qatar National Research Fund (QNRF)(Grant No. NPRP 8-028-1-001).

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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

    Wenjun Liu & Yujia Zhang

  2. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000, Annaba, Algeria

    Houria Triki

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

    Mohammad Mirzazadeh

  4. Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100, Yozgat, Turkey

    Mehmet Ekici

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

    Qin Zhou

  6. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL, 35762, USA

    Anjan Biswas

  7. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria, 0008, South Africa

    Anjan Biswas

  8. Science Program, Texas A&M University at Qatar, P. O. Box 23874, Doha, Qatar

    Milivoj Belic

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  1. Wenjun Liu
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Correspondence to Wenjun Liu.

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Liu, W., Zhang, Y., Triki, H. et al. Interaction properties of solitonics in inhomogeneous optical fibers. Nonlinear Dyn 95, 557–563 (2019). https://doi.org/10.1007/s11071-018-4582-6

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