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Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation

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Abstract

In this paper, we mainly study soliton solutions for nonlocal Kundu-nonlinear Schrödinger (Kundu-NLS) equation via the Darboux transformation. The nonlocal Kundu-NLS equation can be obtained through a symmetry reduction \(r(x,t)=q^{*}(-x,t)\). The form of N-soliton solutions for the nonlocal Kundu-NLS equation can be investigated via the one-fold and n-fold Darboux transformation. Particularly, from the Darboux transformation of the nonlocal Kundu-NLS equation, we obtain some exact solutions for the nonlocal Kundu-NLS equation with different spectral parameters and corresponding graphs are given.

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Funding

The work is supported by the National Natural Science Foundation of China under Grant No. 11971297, National Natural Science Foundation of China under Grant No. 12147115, Natural Science Foundation of Anhui Province under Grant No. 2108085QA09, University Natural Science Research Project of Anhui Province under Grant No. KJ2021A1094, Project funded by China Postdoctoral Science Foundation under Grant No. 2022M712833.

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  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Yan Li, Jian Li & Ruiqi Wang

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  1. Yan Li
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  2. Jian Li
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  3. Ruiqi Wang
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Correspondence to Yan Li or Ruiqi Wang.

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Li, Y., Li, J. & Wang, R. Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation. Nonlinear Dyn 111, 745–751 (2023). https://doi.org/10.1007/s11071-022-07871-z

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