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Solitons and dromion-like structures in an inhomogeneous optical fiber

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Abstract

In this paper, a generalized higher-order variable-coefficient nonlinear Schrödinger equation is studied, which describes the propagation of subpicosecond or femtosecond pulses in an inhomogeneous optical fiber. We derive a set of the integrable constraints on the variable coefficients. Under those constraints, via the symbolic computation and modified Hirota method, bilinear equations, one-, two-,three-soliton solutions and dromion-like structures are obtained. Properties and interactions for the solitons are studied: (a) effects on the solitons resulting from the wave number k, third-order dispersion \(\delta _1(z)\), group velocity dispersion \(\alpha (z)\), gain/loss \(\varGamma _2(z)\) and group-velocity-related \(\gamma (z)\) are discussed analytically and graphically where z is the normalized propagation distance along the fiber; (b) bound state with different values of \(\alpha (z)\), \(\delta _1(z)\), \(\gamma (z)\) and \(\varGamma _2(z)\) are presented where some periodic or quasiperiodic formulae are derived. Interactions between the two solitons and between the bound states and a single soliton are, respectively, discussed; and (c) single, double and triple dromion-like structures with different values of \(\alpha (z)\), \(\delta _1(z)\), \(\gamma (z)\) are also presented, distortions of which are found to be determined by those variable coefficients.

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Acknowledgments

We express our sincere thanks to the editors, reviewers and members of our discussion group for their valuable suggestions. This work has been supported by the National Natural Science Foundation of China under Grant No. 11272023 and by the Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications).

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  1. Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China

    Jin-Wei Yang, Yi-Tian Gao, Yu-Jie Feng & Chuan-Qi Su

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  1. Jin-Wei Yang
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Yang, JW., Gao, YT., Feng, YJ. et al. Solitons and dromion-like structures in an inhomogeneous optical fiber. Nonlinear Dyn 87, 851–862 (2017). https://doi.org/10.1007/s11071-016-3083-8

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