Abstract
The optical solitons represent a fascinating intersection of nonlinear physics and optical technology. In this study, we examine the three-component Dirac–Manakov system through the application of a unified Darboux transformation. We elaborate on the construction of the n-fold Darboux transformation and elucidate the correlation between optical solitons and seed solutions. Our research successfully yields both single-soliton and double-soliton solutions derived from zero-seed solutions. Additionally, we derive periodic solutions from non-zero seed solutions. To visualize these solutions, we employ Maple to generate three-dimensional and density diagrams, thereby facilitating a comprehensive understanding of the solution structures within the three-component Dirac–Manakov system.
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Acknowledgements
This work is supported by the National Natural Science Foundation of China, Grant No.12371249 & No.11901141 and the Zhejiang Provincial Natural Science Foundation of China under Grant No. LZ23A010005.
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Zhao, W., Huang, L. The optical solitons for the three-component Dirac–Manakov system via the Darboux transformation. Opt Quant Electron 56, 1113 (2024). https://doi.org/10.1007/s11082-024-07056-5
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DOI: https://doi.org/10.1007/s11082-024-07056-5