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Solitons and dynamics for the shifted reverse space–time complex modified Korteweg–de Vries equation

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Abstract

According to the loop group method and the symmetry conditions of AKNS matrix spectral problem, different Darboux transformations are constructed to investigate the shifted reverse space–time complex modified Korteweg–de Vries equation. Based on the zero background and nonzero background, the periodic solution, the breather solution, and the kink-type breather solution on the periodic background are obtained by different Darboux transformations. In particular, the influence of the space–time shifted parameters on the solution is significant, and some novel dynamic behaviors of the solution are given. Moreover, the dynamic behaviors of the novel solutions are described by the figures.

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The data that support the findings of this article are available from the corresponding author upon reasonable request.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 11371326 and No.12271488).

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  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Lifei Wu, Yi Zhang, Rusuo Ye & Jie Jin

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  1. Lifei Wu
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  2. Yi Zhang
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Correspondence to Yi Zhang.

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Wu, L., Zhang, Y., Ye, R. et al. Solitons and dynamics for the shifted reverse space–time complex modified Korteweg–de Vries equation. Nonlinear Dyn 111, 18363–18371 (2023). https://doi.org/10.1007/s11071-023-08801-3

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  • DOI: https://doi.org/10.1007/s11071-023-08801-3

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