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Coexistence of the breather and the rogue waves for a coupled nonlinear Schrödinger equation

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Abstract

In this paper, based on the modified Darboux transformation, a new first-order solution of coupled fourth-order nonlinear Schrödinger equation (cNLS) is constructed. The amplitude of rogue wave, distance of the breather and the rogue wave can be changed if we adjust parameter \(d_1\). With the adjustment of the parameter \(c_2\), the breather and the rogue wave can be converted into each other, and the direction of propagation of the breather can be changed. When the initial wave height takes different values, images of the breather and the rogue wave as well as soliton-like and rogue waves can be presented.

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Acknowledgements

This work has been supported by the National Natural Science Foundation of China: U2034207; the Natural Science Foundation of Hebei Province, China (Grant Nos. A2018210018, A2021210014, E2021210090, E2021210099, A2019210318) and the National Key Research and Development Program of China: 2021YFB2601000.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Ya-Hui Guo & Da-Wei Zuo

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  1. Ya-Hui Guo
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  2. Da-Wei Zuo
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Correspondence to Da-Wei Zuo.

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Guo, YH., Zuo, DW. Coexistence of the breather and the rogue waves for a coupled nonlinear Schrödinger equation. Pramana - J Phys 97, 192 (2023). https://doi.org/10.1007/s12043-023-02674-2

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  • DOI: https://doi.org/10.1007/s12043-023-02674-2

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