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Darboux transformation and soliton solutions of the coupled generalized Sasa-Satsuma equation

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Abstract

In this paper, we construct the Darboux transformation of the coupled generalized Sasa-Satsuma equation using the gauge transformation between Lax pairs and obtain abundant exact solutions. This method allows obtaining many solutions by iteration, and getting the expression for the N-fold soliton solution directly. By choosing the proper parameters, some attractive solutions, including hump-type and breather-type soliton solutions, are explicitly obtained and graphically illustrated.

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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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Authors and Affiliations

  1. School of Science, Hangzhou Dianzi University, Zhejiang, 310018, China

    Kunle Wang, Lin Huang & Jing Yu

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  1. Kunle Wang
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  2. Lin Huang
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  3. Jing Yu
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Correspondence to Lin Huang.

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Wang, K., Huang, L. & Yu, J. Darboux transformation and soliton solutions of the coupled generalized Sasa-Satsuma equation. Nonlinear Dyn 111, 21279–21288 (2023). https://doi.org/10.1007/s11071-023-08944-3

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