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Vector dark-bright second-order rogue wave and triplets for a (3+1)-dimensional CNLSE with the partially nonlocal nonlinearity

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Abstract

The excitation management of rogue waves were extensively reported, and yet the excitation management of different vector high-order rogue wave structures for two components is hardly studied. Our work aims to investigate the excitation management of vector dark-bright second-order rogue wave and triplets in the partially nonlocal nonlinear case. A variable-coefficient (3+1)-dimensional coupled nonlinear Schrödinger equation(CNLSE) with partially nonlocal nonlinearity under a parabolic external potential is erected a relation to the constant-coefficient (1+1)-dimensional CNLSE by means of a reduction transformation. Considering solutions of constant-coefficient CNLSE by means of the nonrecursive Darboux transformation method, analytical vector dark-bright second-order rogue wave and triplet solutions are derived. The excitation management of these rogue waves and triplets including fully, maximally and initially excited shapes is deduced in the exponential management system.

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The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11975008).

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  1. College of Engineering, Lishui University, Lishui, 323000, Zhejiang, China

    Haiping Zhu & Li Chen

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  1. Haiping Zhu
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Zhu, H., Chen, L. Vector dark-bright second-order rogue wave and triplets for a (3+1)-dimensional CNLSE with the partially nonlocal nonlinearity. Nonlinear Dyn 111, 4673–4682 (2023). https://doi.org/10.1007/s11071-022-08068-0

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