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Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas–Lenells system

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Abstract

We study the dynamic behaviors of mixed localized solutions for the three-component coupled Fokas–Lenells (FL) system. First, the corresponding Lax pair and the generalized (n, M)-fold Darboux transformation are constructed. Second, the first- and second-order mixed localized solutions of the three-component FL system are given and their dynamic features are investigated. These results further reveal the interesting dynamic behaviors of the higher-order mixed localized solutions in the multi-component coupled FL system. At last, the corresponding modulation instability is studied.

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Acknowledgements

The first author would like to express her sincere thanks to Xu Tao for his valuable comments. The authors gratefully acknowledge the support of National Natural Science Foundation of China (Nos. 11675054, 11435005) and Science and Technology Commission of Shanghai Municipality (No. 18dz2271000).

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  1. School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, 200062, China

    Minmin Wang & Yong Chen

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  1. Minmin Wang
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Correspondence to Yong Chen.

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The Project is supported by National Natural Science Foundation of China (Nos. 11675054, 11435005), Science and Technology Commission of Shanghai Municipality (No. 18dz2271000).

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Wang, M., Chen, Y. Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas–Lenells system. Nonlinear Dyn 98, 1781–1794 (2019). https://doi.org/10.1007/s11071-019-05285-y

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