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Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium

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Abstract

Under investigation in this paper is a coherently coupled nonlinear Schrödinger system which describes the propagation of polarized optical waves in an isotropic medium. By virtue of the Darboux transformation, some new solutions have been generated on the vanishing and non-vanishing backgrounds, including multi-solitons, bound solitons, one-breathers, bound breathers, two-breathers, first-order and higher-order rogue waves. Dynamic behaviors of those solitons, breathers and rogue waves have been discussed through graphic simulation.

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Acknowledgments

We express our sincere thanks to each member of our discussion group for their suggestions. This work has been supported by the National Natural Science Foundation of China under Grant No. 61405137, by the Special Funds of the National Natural Science Foundation of China under Grant No. 11347165, by Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi under Grant No. 2013110, and by the higher-level item cultivation project of Beijing Wuzi University (No. GJB20141001).

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Authors and Affiliations

  1. School of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, China

    Rui Guo, Yue-Feng Liu & Hui-Qin Hao

  2. School of Information, Beijing Wuzi University, Beijing, 101149, China

    Feng-Hua Qi

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  1. Rui Guo
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  2. Yue-Feng Liu
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  3. Hui-Qin Hao
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Correspondence to Rui Guo.

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Guo, R., Liu, YF., Hao, HQ. et al. Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium. Nonlinear Dyn 80, 1221–1230 (2015). https://doi.org/10.1007/s11071-015-1938-z

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  • DOI: https://doi.org/10.1007/s11071-015-1938-z

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