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Dynamic of the smooth positons of the higher-order Chen–Lee–Liu equation

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Abstract

Based on the degenerate Darboux transformation, the n-positon solution of the higher-order Chen–Lee–Liu (HOCLL) equation are obtained by the special limit \(\lambda _{j}\rightarrow \lambda _{1}\) taking from the corresponding n-soliton solution, and using the higher-order Taylor expansion. Using the method of the modulus square decomposition, n-positon is decomposed into n single soliton solutions. The dynamic properties of smooth positon of the HOCLL equation are discussed in detail, and the corresponding trajectory, approximate trajectory and “phase shift” are obtained. In addition, the mixed solutions of soliton and positon are discussed, and the corresponding three-dimensional map are given.

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Data Availability Statement

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 Natural Science Foundation of Zhejiang Province under Grant Nos. LY15A010005, the Natural Science Foundation of Ningbo under Grant No. 2018A610197, the NSF of China under Grant No. 12071304, K.C. Wong Magna Fund in Ningbo University.

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  1. School of Mathematics and Statistics, Ningbo University, Zhejiang, 315211, People’s Republic of China

    Aijuan Hu & Maohua Li

  2. Institute for Advanced Study, Shenzhen University, Shenzhen, 518060, Guangdong, People’s Republic of China

    Jingsong He

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Hu, A., Li, M. & He, J. Dynamic of the smooth positons of the higher-order Chen–Lee–Liu equation. Nonlinear Dyn 104, 4329–4338 (2021). https://doi.org/10.1007/s11071-021-06547-4

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