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Dynamics of fundamental solitons and rogue waves on the mixed backgrounds

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Abstract

On the mixed nonzero–zero backgrounds, the vector fundamental breathers, solitons and rogue waves of the coupled higher-order nonlinear Schrödinger system with sign-alternating nonlinearity are investigated. Using the Lax pair and Darboux transformation, we produce a family of vector solutions on the mixed backgrounds. Via the breather-to-soliton conversion, we show the vector solitons on the mixed backgrounds. We show the vector fundamental rogue waves of ultra-high peak amplitude on the mixed backgrounds.

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Acknowledgements

This work has been supported by the National Natural Science Foundation of China under Grant Nos. 61705006, 11875126 and 11947230, by the Fundamental Research Funds of the Central Universities (Nos. 230201606500048 and 2018MS048), and by the China Postdoctoral Science Foundation (No. 2019M660430).

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Authors and Affiliations

  1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China

    Wen-Rong Sun

  2. Beijing Computational Science Research Center, Beijing, 100193, China

    Lei Liu

  3. Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China

    Lei Wang

Authors
  1. Wen-Rong Sun
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  2. Lei Liu
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  3. Lei Wang
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Correspondence to Lei Liu.

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Sun, WR., Liu, L. & Wang, L. Dynamics of fundamental solitons and rogue waves on the mixed backgrounds. Eur. Phys. J. Plus 136, 383 (2021). https://doi.org/10.1140/epjp/s13360-021-01379-y

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01379-y

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