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Bright solitons for the coupled cubic-quintic non-linear Schrödinger equations

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Abstract

In this paper, we investigate the coupled cubic-quintic non-linear Schrödinger equations, which describe the effects of quintic non-linearity on the ultra-short optical-pulse propagation in the non-Kerr medium. Bi-linear forms, bright one- and two-soliton solutions are obtained with Hirota method and symbolic computation. Via the asymptotic analysis, we find that the bright two solitons keep their original amplitudes, widths and velocities invariant after each collision except for the phase shifts. By virtue of the graphical analysis, head-on and overtaking collisions between the bright two solitons are presented. Bound-state soliton can also be observed with the breather-like structures.

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Notes

  1. Common speed means that the speed of each soliton is the same Sun et al. (2014)

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Acknowledgments

This work has been supported by the National Natural Science Foundation of China under Grant No. 11272023 and 11471050, by the Open Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), by the Fundamental Research Funds for the Central Universities of China under Grant No. 2011BUPTYB02 and by the Beijing University of Posts and Telecommunications (BUPT) Excellent Ph.D. Students Foundation (No. CX2016308).

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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, Beijing, 100876, China

    Xi-Yang Xie, Bo Tian, Ya Sun, Lei Liu & Yan Jiang

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  1. Xi-Yang Xie
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  2. Bo Tian
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  3. Ya Sun
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  4. Lei Liu
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  5. Yan Jiang
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Correspondence to Bo Tian.

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Xie, XY., Tian, B., Sun, Y. et al. Bright solitons for the coupled cubic-quintic non-linear Schrödinger equations. Opt Quant Electron 48, 491 (2016). https://doi.org/10.1007/s11082-016-0728-2

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