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ShuAIence

A research desktop by Shangshuai Li.

ShuAIenceDesktop
Research online

Shangshuai Li

Integrable systems · ASDYM · AI-assisted research
Welcome to ShuAIence
Blue orbit profile illustration for Shangshuai Li

Researching across mathematics and AI

Welcome to my research desktop

Shangshuai Li

Integrable Systems · Sato Theory · ASDYM · AI-assisted Research

Welcome to my personal academic homepage. I am a researcher working at the intersection of integrable systems, gauge field theory, and geometric analysis. My current work focuses on the mathematical structures underlying soliton equations, anti-self-dual Yang–Mills theory, Sato theory, and related algebraic and geometric methods. This website collects my publications, research notes, talks, and ongoing projects, including my recent interests in AI-assisted mathematical research.

Google Scholar↗ResearchGate↗ORCID↗
Integrable systemsSato theoryASDYMAI-assisted research

© 2026 Shangshuai Li · Built as a personal research system.

NEWSNews

Research log

News

Updates from my academic work, talks, publications, and personal research systems.

  1. July 20, 2026

    Website architecture refactored

    We refactored the website's codebase into a macOS-inspired research desktop and added in-browser previews for locally hosted PDF documents.

  2. June 30, 2026

    Website launched

    We launched this website today.

Publications

Journal articles and preprints

Publications

Research on integrable systems, anti-self-dual Yang–Mills equations, and related structures.

Export BibTeX ↓

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

    arXivPDF
    ▾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

    Published version
    ▾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

    Published versionarXivPDF
    ▾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

    Published versionarXivPDF
    ▾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

    Published versionarXivPDF
    ▾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

    Published version
    ▾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

    Published version
    ▾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

    Published version
    ▾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

    Published version
    ▾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

    Published versionarXivPDF
    ▾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

    Published version
    ▾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

    Published versionarXivPDF
    ▾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

    Published versionarXivPDF
    ▾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},
    }
Talks

Seminars and conference talks

Talks

A chronological list of selected seminars, conference talks, and research presentations.

  1. March 22, 2026

    On soliton-preserving anti-self-dual Yang-Mills reductions

    Slides

    Development and Applications of New Mathematical Methods for Discrete Integrable Systems

    YamagataJapan 🇯🇵
  2. January 9, 2025

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

    Slides

    Waseda Workshop on Discrete Integrable Systems and Related Topics

    Waseda UniversityTokyoJapan 🇯🇵
  3. November 8, 2024

    Cauchy matrix approach, Sylvester equation, self-dual Yang-Mills equation and their relationship with integrable system

    Slides

    From Nonlinear Wave to Integrable System 2024

    Fukui UniversityFukuiJapan 🇯🇵
  4. March 15, 2024

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

    Slides

    International Seminar-Type Online Workshop on Noncommutative Integrable Systems

    Nagoya UniversityNagoyaJapan 🇯🇵
PDFPDF Reader

Site documents

PDF Library

Talk slides and research papers stored on ShuAIence.

11 documents
PDFTalk slidesOn soliton-preserving anti-self-dual Yang-Mills reductionsDevelopment and Applications of New Mathematical Methods for Discrete Integrable SystemsMarch 22, 2026Open ›PDFResearch paperA unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reductionarXiv 2603.230602026Open ›PDFTalk slidesFrom self-dual Yang-Mills equation to Fokas-Lenells equationWaseda Workshop on Discrete Integrable Systems and Related TopicsJanuary 9, 2025Open ›PDFResearch paperFrom the self-dual Yang-Mills equation to the Fokas-Lenells equationarXiv 2411.108072025Open ›PDFResearch paperSoliton resonances in four dimensional Wess-Zumino-Witten modelarXiv 2501.082502025Open ›PDFResearch paperDirect linearization of the SU(2) anti-self-dual Yang-Mills equation in various spacesarXiv 2403.060552025Open ›PDFTalk slidesCauchy matrix approach, Sylvester equation, self-dual Yang-Mills equation and their relationship with integrable systemFrom Nonlinear Wave to Integrable System 2024November 8, 2024Open ›PDFTalk slidesSolutions to the SU(N) self-dual Yang-Mills equationInternational Seminar-Type Online Workshop on Noncommutative Integrable SystemsMarch 15, 2024Open ›PDFResearch paperSolutions to the SU(N) self-dual Yang-Mills equationarXiv 2211.085742023Open ›PDFResearch paperCauchy matrix approach to the SU(2) self-dual Yang-Mills equationarXiv 2112.064082022Open ›PDFResearch paperSymmetric discrete AKP and BKP equationsarXiv 2009.040542021Open ›
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✦Catalogue

Favorites

Research

ShuAIence›Catalogue›Welcome››
1 item
Blue orbit profile illustration for Shangshuai Li

Researching across mathematics and AI

Welcome to my research desktop

Shangshuai Li

Integrable Systems · Sato Theory · ASDYM · AI-assisted Research

Welcome to my personal academic homepage. I am a researcher working at the intersection of integrable systems, gauge field theory, and geometric analysis. My current work focuses on the mathematical structures underlying soliton equations, anti-self-dual Yang–Mills theory, Sato theory, and related algebraic and geometric methods. This website collects my publications, research notes, talks, and ongoing projects, including my recent interests in AI-assisted mathematical research.

Google Scholar↗ResearchGate↗ORCID↗
Integrable systemsSato theoryASDYMAI-assisted research

© 2026 Shangshuai Li · Built as a personal research system.

Selected project

Academic Oracle

A three-card, tarot-inspired research reflection tool for drafts, proofs, submissions, collaborations, and uncertain methods.

Built through AI-assisted coding
Status
Live
Year
2026
Runs
Locally in your browser
AstroTypeScriptInteractive narrative

More experiments will appear here as they become ready to use.

Years

2026 News

Research log · July 20, 2026

Website architecture refactored

We refactored the website's codebase into a macOS-inspired research desktop and added in-browser previews for locally hosted PDF documents.

Category
News
Year
2026
Date
July 20, 2026

Research log · June 30, 2026

Website launched

We launched this website today.

Category
News
Year
2026
Date
June 30, 2026

Years

2026 Publications

2025 Publications

2024 Publications

2023 Publications

2022 Publications

2021 Publications

Preprint · 2026

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

arXivPDF
▾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},
}

Published research · 2026

The KdV hierarchy: Cauchy matrix approach

Zichen Huang, Shangshuai Li, Da-jun Zhang

Applied Mathematics Letters, 172, 109726, 2026

Published version
▾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},
}

Published research · 2025

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

Published versionarXivPDF
▾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},
}

Published research · 2025

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

Published versionarXivPDF
▾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},
}

Published research · 2025

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

Published versionarXivPDF
▾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},
}

Published research · 2024

On the extended 2-dimensional Toda lattice models

Conghan Wang, Shangshuai Li, Da-jun Zhang

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

Published version
▾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},
}

Published research · 2024

Nonisospectral equations from the Cauchy matrix approach

Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang

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

Published version
▾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},
}

Published research · 2024

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

Published version
▾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},
}

Published research · 2024

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

Published version
▾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},
}

Published research · 2023

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

Shangshuai Li, Changzheng Qu, Da-jun Zhang

Physica D: Nonlinear Phenomena, 453, 133828, 2023

Published versionarXivPDF
▾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},
}

Published research · 2022

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

Published version
▾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},
}

Published research · 2022

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

Published versionarXivPDF
▾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},
}

Published research · 2021

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

Published versionarXivPDF
▾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},
}

Years

2026 Talks

2025 Talks

2024 Talks

Seminar or conference talk · 2026

On soliton-preserving anti-self-dual Yang-Mills reductions

March 22, 2026

Development and Applications of New Mathematical Methods for Discrete Integrable Systems

YamagataJapan 🇯🇵
Slides

Seminar or conference talk · 2025

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

January 9, 2025

Waseda Workshop on Discrete Integrable Systems and Related Topics

Waseda UniversityTokyoJapan 🇯🇵
Slides

Seminar or conference talk · 2024

Cauchy matrix approach, Sylvester equation, self-dual Yang-Mills equation and their relationship with integrable system

November 8, 2024

From Nonlinear Wave to Integrable System 2024

Fukui UniversityFukuiJapan 🇯🇵
Slides

Seminar or conference talk · 2024

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

March 15, 2024

International Seminar-Type Online Workshop on Noncommutative Integrable Systems

Nagoya UniversityNagoyaJapan 🇯🇵
Slides
About Shangshuai Li
Blue orbit profile illustration for Shangshuai Li

Education and appointments

About Me

Researcher in integrable systems, geometry, mathematical physics, and AI-assisted research workflows.

My research lies in the area of integrable systems and their connections with geometry and mathematical physics. I am particularly interested in soliton equations, Sato theory, Cauchy matrix methods, and anti-self-dual Yang–Mills theory, with an emphasis on the algebraic and geometric structures behind integrable hierarchies.

In addition to my mathematical research, I am exploring how AI-assisted workflows can support mathematical writing, literature organization, symbolic computation, and the construction of personal research systems. I see these tools not as replacements for mathematical thinking, but as new ways to organize, test, and develop ideas.

Education & Appointments

The current position is listed first, followed by overseas experience and education.

Current Position

  1. 2025-present

    Lecturer

    Ningbo UniversityNingboChina 🇨🇳

Overseas Experience

  1. 2025-present

    JSPS Fellow

    Nagoya UniversityNagoyaJapan 🇯🇵

    Host: Masashi Hamanaka

  2. 2024-2025

    Visiting Research Fellow

    Waseda UniversityTokyoJapan 🇯🇵

    Host: Kenichi Maruno

  3. 2019

    Exchange Student

    Latrobe UniversityVictoriaAustralia 🇦🇺

    Host: Peter van der Kamp

Education

  1. 2019-2025

    Doctor of Science

    Shanghai UniversityShanghaiChina 🇨🇳

    Advisor: Da-jun Zhang

    Thesis: Direct method to the self-dual Yang-Mills equation

  2. 2015-2019

    Bachelor of Science

    Shanghai UniversityShanghaiChina 🇨🇳

Contact

Email
lishangshuai [AT] shu.edu.cn
GitHub
github.com/lishangshuai
CatalogueAcademic Oracle
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Divination for research days

Academic Oracle

Ask a research question. Shuffle the Academic Arcana. Reveal a three-card reading.

A tarot-inspired symbolic reading for researchers, writers, and scholars facing drafts, proofs, revisions, submissions, collaborations, and uncertain methods.

For scholarly entertainment only. The Oracle is not responsible for rejected papers, broken theorems, or emails sent at 2:00 AM.

V = E / tsum q^ndA = psi

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