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.
ShuAIence
A research desktop by Shangshuai Li.
Shangshuai Li
Integrable systems · ASDYM · AI-assisted researchWelcome to my research desktop
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.
© 2026 Shangshuai Li · Built as a personal research system.
Research log
Updates from my academic work, talks, publications, and personal research systems.
July 20, 2026
We refactored the website's codebase into a macOS-inspired research desktop and added in-browser previews for locally hosted PDF documents.
June 30, 2026
We launched this website today.
Journal articles and preprints
Research on integrable systems, anti-self-dual Yang–Mills equations, and related structures.
Preprint
Shangshuai Li, Ken-ichi Maruno, Da-jun Zhang
arXiv preprint, 2026
@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
Zichen Huang, Shangshuai Li, Da-jun Zhang
Applied Mathematics Letters, 172, 109726, 2026
@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
Shangshuai Li, Shuzhi Liu, Da-jun Zhang
Studies in Applied Mathematics, 155(4), e70126, 2025
@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
Shangshuai Li, Masashi Hamanaka, Shan-Chi Huang, Da-Jun Zhang
Physical Review D, 111(8), 086023, 2025
@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
Shangshuai Li, Da-jun Zhang
Journal of Geometry and Physics, 207, 105351, 2025
@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
Conghan Wang, Shangshuai Li, Da-jun Zhang
Theoretical and Mathematical Physics, 221(3), 2049-2061, 2024
@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
Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang
Reports on Mathematical Physics, 94(1), 47-72, 2024
@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
Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang
Communications in Theoretical Physics, 76(5), 055001, 2024
@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
Shangshuai Li, Da-jun Zhang
Communications in Nonlinear Science and Numerical Simulation, 129, 107705, 2024
@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
Shangshuai Li, Changzheng Qu, Da-jun Zhang
Physica D: Nonlinear Phenomena, 453, 133828, 2023
@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
Zhihao Shi, Shangshuai Li, Da-jun Zhang
Theoretical and Mathematical Physics, 213(3), 1686-1697, 2022
@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
Shangshuai Li, Changzheng Qu, Xiangxuan Yi, Da-jun Zhang
Studies in Applied Mathematics, 148(4), 1703-1721, 2022
@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
Shangshuai Li, Frank W. Nijhoff, Ying-ying Sun, Da-jun Zhang
Journal of Physics A: Mathematical and Theoretical, 54(7), 075201, 2021
@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},
}Seminars and conference talks
A chronological list of selected seminars, conference talks, and research presentations.
March 22, 2026
Development and Applications of New Mathematical Methods for Discrete Integrable Systems
January 9, 2025
Waseda Workshop on Discrete Integrable Systems and Related Topics
November 8, 2024
From Nonlinear Wave to Integrable System 2024
March 15, 2024
International Seminar-Type Online Workshop on Noncommutative Integrable Systems
Site documents
Talk slides and research papers stored on ShuAIence.
Unable to open document
Check the file and try again.
Welcome to my research desktop
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.
© 2026 Shangshuai Li · Built as a personal research system.
Selected project
A three-card, tarot-inspired research reflection tool for drafts, proofs, submissions, collaborations, and uncertain methods.
More experiments will appear here as they become ready to use.
2026 News
Research log · July 20, 2026
We refactored the website's codebase into a macOS-inspired research desktop and added in-browser previews for locally hosted PDF documents.
Research log · June 30, 2026
We launched this website today.
2026 Publications
2025 Publications
2024 Publications
2023 Publications
2022 Publications
2021 Publications
Preprint · 2026
Shangshuai Li, Ken-ichi Maruno, Da-jun Zhang
arXiv preprint, 2026
@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
Zichen Huang, Shangshuai Li, Da-jun Zhang
Applied Mathematics Letters, 172, 109726, 2026
@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
Shangshuai Li, Shuzhi Liu, Da-jun Zhang
Studies in Applied Mathematics, 155(4), e70126, 2025
@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
Shangshuai Li, Masashi Hamanaka, Shan-Chi Huang, Da-Jun Zhang
Physical Review D, 111(8), 086023, 2025
@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
Shangshuai Li, Da-jun Zhang
Journal of Geometry and Physics, 207, 105351, 2025
@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
Conghan Wang, Shangshuai Li, Da-jun Zhang
Theoretical and Mathematical Physics, 221(3), 2049-2061, 2024
@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
Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang
Reports on Mathematical Physics, 94(1), 47-72, 2024
@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
Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang
Communications in Theoretical Physics, 76(5), 055001, 2024
@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
Shangshuai Li, Da-jun Zhang
Communications in Nonlinear Science and Numerical Simulation, 129, 107705, 2024
@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
Shangshuai Li, Changzheng Qu, Da-jun Zhang
Physica D: Nonlinear Phenomena, 453, 133828, 2023
@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
Zhihao Shi, Shangshuai Li, Da-jun Zhang
Theoretical and Mathematical Physics, 213(3), 1686-1697, 2022
@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
Shangshuai Li, Changzheng Qu, Xiangxuan Yi, Da-jun Zhang
Studies in Applied Mathematics, 148(4), 1703-1721, 2022
@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
Shangshuai Li, Frank W. Nijhoff, Ying-ying Sun, Da-jun Zhang
Journal of Physics A: Mathematical and Theoretical, 54(7), 075201, 2021
@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},
}2026 Talks
2025 Talks
2024 Talks
Seminar or conference talk · 2026
March 22, 2026
Development and Applications of New Mathematical Methods for Discrete Integrable Systems
Seminar or conference talk · 2025
January 9, 2025
Waseda Workshop on Discrete Integrable Systems and Related Topics
Seminar or conference talk · 2024
November 8, 2024
From Nonlinear Wave to Integrable System 2024
Seminar or conference talk · 2024
March 15, 2024
International Seminar-Type Online Workshop on Noncommutative Integrable Systems
About Shangshuai Li
Education and appointments
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.
The current position is listed first, followed by overseas experience and education.
2025-present
2025-present
Host: Masashi Hamanaka
2024-2025
Host: Kenichi Maruno
2019
Host: Peter van der Kamp
2019-2025
Advisor: Da-jun Zhang
Thesis: Direct method to the self-dual Yang-Mills equation
2015-2019

Divination for research days
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.
Please enter a research question before focusing.
Examples:
Ask a question to wake the Academic Arcana.
The deck waits among unfinished drafts and unread references.
Shuffle first, then click a card to cut.
Reveal the Three Cards
1
What is visibly shaping your research situation?
2
What may be quietly blocking progress?
3
What should you do next?