Journal articles and preprints

Publications

2026

  1. Preprint

    A unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reduction

    Shangshuai Li, Ken-ichi Maruno, Da-jun Zhang

    arXiv preprint, 2026

    BibTeX
    @misc{LiMarunoZhang2026Unified,
      title = {A unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reduction},
      author = {Shangshuai Li and Ken-ichi Maruno and Da-jun Zhang},
      year = {2026},
      eprint = {2603.23060},
      archivePrefix = {arXiv},
      url = {https://arxiv.org/abs/2603.23060},
    }
  2. Published

    The KdV hierarchy: Cauchy matrix approach

    Zichen Huang, Shangshuai Li, Da-jun Zhang

    Applied Mathematics Letters, 172, 109726, 2026

    BibTeX
    @article{HuangLiZhang2026KdV,
      title = {The KdV hierarchy: Cauchy matrix approach},
      author = {Zichen Huang and Shangshuai Li and Da-jun Zhang},
      year = {2026},
      journal = {Applied Mathematics Letters},
      volume = {172},
      eid = {109726},
      doi = {10.1016/j.aml.2025.109726},
      url = {https://www.sciencedirect.com/science/article/pii/S0893965925002769},
    }

2025

  1. Published

    From the self-dual Yang-Mills equation to the Fokas-Lenells equation

    Shangshuai Li, Shuzhi Liu, Da-jun Zhang

    Studies in Applied Mathematics, 155(4), e70126, 2025

    BibTeX
    @article{LiLiuZhang2025FokasLenells,
      title = {From the self-dual Yang-Mills equation to the Fokas-Lenells equation},
      author = {Shangshuai Li and Shuzhi Liu and Da-jun Zhang},
      year = {2025},
      journal = {Studies in Applied Mathematics},
      volume = {155},
      number = {4},
      eid = {e70126},
      doi = {10.1111/sapm.70126},
      url = {https://doi.org/10.1111/sapm.70126},
      eprint = {2411.10807},
      archivePrefix = {arXiv},
    }
  2. Published

    Soliton resonances in four dimensional Wess-Zumino-Witten model

    Shangshuai Li, Masashi Hamanaka, Shan-Chi Huang, Da-Jun Zhang

    Physical Review D, 111(8), 086023, 2025

    BibTeX
    @article{LiHamanakaHuangZhang2025WZW,
      title = {Soliton resonances in four dimensional Wess-Zumino-Witten model},
      author = {Shangshuai Li and Masashi Hamanaka and Shan-Chi Huang and Da-Jun Zhang},
      year = {2025},
      journal = {Physical Review D},
      volume = {111},
      number = {8},
      eid = {086023},
      doi = {10.1103/PhysRevD.111.086023},
      url = {https://doi.org/10.1103/PhysRevD.111.086023},
      eprint = {2501.08250},
      archivePrefix = {arXiv},
    }
  3. Published

    Direct linearization of the SU(2) anti-self-dual Yang-Mills equation in various spaces

    Shangshuai Li, Da-jun Zhang

    Journal of Geometry and Physics, 207, 105351, 2025

    BibTeX
    @article{LiZhang2025Direct,
      title = {Direct linearization of the SU(2) anti-self-dual Yang-Mills equation in various spaces},
      author = {Shangshuai Li and Da-jun Zhang},
      year = {2025},
      journal = {Journal of Geometry and Physics},
      volume = {207},
      eid = {105351},
      doi = {10.1016/j.geomphys.2024.105351},
      url = {https://doi.org/10.1016/j.geomphys.2024.105351},
      eprint = {2403.06055},
      archivePrefix = {arXiv},
    }

2024

  1. Published

    On the extended 2-dimensional Toda lattice models

    Conghan Wang, Shangshuai Li, Da-jun Zhang

    Theoretical and Mathematical Physics, 221(3), 2049-2061, 2024

    BibTeX
    @article{WangLiZhang2024Toda,
      title = {On the extended 2-dimensional Toda lattice models},
      author = {Conghan Wang and Shangshuai Li and Da-jun Zhang},
      year = {2024},
      journal = {Theoretical and Mathematical Physics},
      volume = {221},
      number = {3},
      pages = {2049-2061},
      doi = {10.1134/S0040577924120043},
      url = {https://link.springer.com/article/10.1134/S0040577924120043},
    }
  2. Published

    Nonisospectral equations from the Cauchy matrix approach

    Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang

    Reports on Mathematical Physics, 94(1), 47-72, 2024

    BibTeX
    @article{TeferaLiZhang2024NonisospectralEquations,
      title = {Nonisospectral equations from the Cauchy matrix approach},
      author = {Alemu Yilma Tefera and Shangshuai Li and Da-jun Zhang},
      year = {2024},
      journal = {Reports on Mathematical Physics},
      volume = {94},
      number = {1},
      pages = {47-72},
      doi = {10.1016/S0034-4877(24)00055-7},
      url = {https://www.sciencedirect.com/science/article/pii/S0034487724000557},
    }
  3. Published

    Cauchy matrix approach to three non-isospectral nonlinear Schrödinger equations

    Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang

    Communications in Theoretical Physics, 76(5), 055001, 2024

    BibTeX
    @article{TeferaLiZhang2024NLS,
      title = {Cauchy matrix approach to three non-isospectral nonlinear Schrödinger equations},
      author = {Alemu Yilma Tefera and Shangshuai Li and Da-jun Zhang},
      year = {2024},
      journal = {Communications in Theoretical Physics},
      volume = {76},
      number = {5},
      eid = {055001},
      doi = {10.1088/1572-9494/ad35b1},
      url = {https://iopscience.iop.org/article/10.1088/1572-9494/ad35b1/meta},
    }
  4. Published

    Cauchy matrix structure and solutions of the spin-1 Gross-Pitaevskii equations

    Shangshuai Li, Da-jun Zhang

    Communications in Nonlinear Science and Numerical Simulation, 129, 107705, 2024

    BibTeX
    @article{LiZhang2024Spin1GrossPitaevskii,
      title = {Cauchy matrix structure and solutions of the spin-1 Gross-Pitaevskii equations},
      author = {Shangshuai Li and Da-jun Zhang},
      year = {2024},
      journal = {Communications in Nonlinear Science and Numerical Simulation},
      volume = {129},
      eid = {107705},
      doi = {10.1016/j.cnsns.2023.107705},
      url = {https://www.sciencedirect.com/science/article/pii/S1007570423006263},
    }

2023

  1. Published

    Solutions to the SU(N) self-dual Yang-Mills equation

    Shangshuai Li, Changzheng Qu, Da-jun Zhang

    Physica D: Nonlinear Phenomena, 453, 133828, 2023

    BibTeX
    @article{LiQuZhang2023SUN,
      title = {Solutions to the SU(N) self-dual Yang-Mills equation},
      author = {Shangshuai Li and Changzheng Qu and Da-jun Zhang},
      year = {2023},
      journal = {Physica D: Nonlinear Phenomena},
      volume = {453},
      eid = {133828},
      doi = {10.1016/j.physd.2023.133828},
      url = {https://doi.org/10.1016/j.physd.2023.133828},
      eprint = {2211.08574},
      archivePrefix = {arXiv},
    }

2022

  1. Published

    Cauchy matrix approach to the noncommutative Kadomtsev-Petviashvili equation with self-consistent sources

    Zhihao Shi, Shangshuai Li, Da-jun Zhang

    Theoretical and Mathematical Physics, 213(3), 1686-1697, 2022

    BibTeX
    @article{ShiLiZhang2022NoncommutativeKP,
      title = {Cauchy matrix approach to the noncommutative Kadomtsev-Petviashvili equation with self-consistent sources},
      author = {Zhihao Shi and Shangshuai Li and Da-jun Zhang},
      year = {2022},
      journal = {Theoretical and Mathematical Physics},
      volume = {213},
      number = {3},
      pages = {1686-1697},
      doi = {10.1134/S0040577922120030},
      url = {https://link.springer.com/article/10.1134/S0040577922120030},
    }
  2. Published

    Cauchy matrix approach to the SU(2) self-dual Yang-Mills equation

    Shangshuai Li, Changzheng Qu, Xiangxuan Yi, Da-jun Zhang

    Studies in Applied Mathematics, 148(4), 1703-1721, 2022

    BibTeX
    @article{LiQuYiZhang2022Cauchy,
      title = {Cauchy matrix approach to the SU(2) self-dual Yang-Mills equation},
      author = {Shangshuai Li and Changzheng Qu and Xiangxuan Yi and Da-jun Zhang},
      year = {2022},
      journal = {Studies in Applied Mathematics},
      volume = {148},
      number = {4},
      pages = {1703-1721},
      doi = {10.1111/sapm.12488},
      url = {https://doi.org/10.1111/sapm.12488},
      eprint = {2112.06408},
      archivePrefix = {arXiv},
    }

2021

  1. Published

    Symmetric discrete AKP and BKP equations

    Shangshuai Li, Frank W. Nijhoff, Ying-ying Sun, Da-jun Zhang

    Journal of Physics A: Mathematical and Theoretical, 54(7), 075201, 2021

    BibTeX
    @article{LiNijhoffSunZhang2021Symmetric,
      title = {Symmetric discrete AKP and BKP equations},
      author = {Shangshuai Li and Frank W. Nijhoff and Ying-ying Sun and Da-jun Zhang},
      year = {2021},
      journal = {Journal of Physics A: Mathematical and Theoretical},
      volume = {54},
      number = {7},
      eid = {075201},
      doi = {10.1088/1751-8121/abd998},
      url = {https://doi.org/10.1088/1751-8121/abd998},
      eprint = {2009.04054},
      archivePrefix = {arXiv},
    }