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Oscillating solitons in nonlinear optics

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Abstract

Oscillating solitons are obtained in nonlinear optics. Analytical study of the variable-coefficient nonlinear Schrödinger equation, which is used to describe the soliton propagation in those systems, is carried out using the Hirota’s bilinear method. The bilinear forms and analytic soliton solutions are derived, and the relevant properties and features of oscillating solitons are illustrated. Oscillating solitons are controlled by the reciprocal of the group velocity and Kerr nonlinearity. Results of this paper will be valuable to the study of dispersion-managed optical communication system and mode-locked fibre lasers.

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Acknowledgements

The authors express their sincere thanks to the Editors and referee for their valuable comments. This work has been supported by the National Natural Science Foundation of China under Grant No. 61205064, by Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), and by the Visiting Scholar Funds of the Key Laboratory of Optoelectronic Technology and Systems under Grant No. 0902011812401_5, Chongqing University.

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Authors and Affiliations

  1. Key Laboratory of Optoelectronic Technology & Systems (Chongqing University), Ministry of Education, Chongqing, China

    XIAO-GANG LIN

  2. School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing, 100876, China

    WEN-JUN LIU & MING LEI

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  1. XIAO-GANG LIN
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  2. WEN-JUN LIU
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  3. MING LEI
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Correspondence to WEN-JUN LIU.

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LIN, XG., LIU, WJ. & LEI, M. Oscillating solitons in nonlinear optics. Pramana - J Phys 86, 575–580 (2016). https://doi.org/10.1007/s12043-015-1020-x

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