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AI-assisted mathematical research
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.
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Recent News
Recent Publications
A unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reduction
arXiv preprint, 2026
2026arXiv
The KdV hierarchy: Cauchy matrix approach
Applied Mathematics Letters, 172, 109726, 2026
2026Published version
From the self-dual Yang-Mills equation to the Fokas-Lenells equation
Studies in Applied Mathematics, 155(4), e70126, 2025
2025Published version
Recent Talks
On soliton-preserving anti-self-dual Yang-Mills reductions
Development and Applications of New Mathematical Methods for Discrete Integrable Systems
March 22, 2026Yamagata, Japan 🇯🇵
From self-dual Yang-Mills equation to Fokas-Lenells equation
Waseda Workshop on Discrete Integrable Systems and Related Topics
January 9, 2025Waseda University, Tokyo, Japan 🇯🇵
Cauchy matrix approach, Sylvester equation, self-dual Yang-Mills equation and their relationship with integrable system
From Nonlinear Wave to Integrable System 2024
November 8, 2024Fukui University, Fukui, Japan 🇯🇵