Shangshuai Li
Ningbo University
Academic titleLecturer
Integrable systems · Mathematical physics
Integrability, self-duality & exact solutions.
My research concerns the algebraic and geometric structures of integrable systems and their connections with mathematical physics. I focus on Sato theory, Cauchy matrix methods, (anti-)self-dual Yang–Mills equations, and exact soliton solutions.
Research themes
Structures, methods & solutions.
Yang–Mills & integrable hierarchies
I study the connections between (anti-)self-dual Yang–Mills equations and lower-dimensional integrable hierarchies. Current work includes Sato-theoretic constructions, dimensional reductions, and examples related to the Ward conjecture.
Sato-theoretic construction of the ASDYM hierarchyCauchy matrices & direct linearization
Cauchy matrix structures and direct linearization provide constructive approaches to Yang–Mills equations and related integrable systems. I am interested in the algebraic structures underlying these methods and the exact solutions they produce.
Direct linearization of the SU(2) ASDYM equationSolitons & resonance structures
I investigate exact soliton solutions and resonance phenomena in four-dimensional Wess–Zumino–Witten models. Topics include multiple-pole solutions, V-shape solitons, and the relationship between Cauchy matrix methods and binary Darboux transformations.
Soliton resonances in the WZW modelPublications.
The complete publication list is shown below, ordered by year. Browse journal articles and preprints using the categories.
Preprints
Journal articles
The KdV hierarchy: Cauchy matrix approach
. Applied Mathematics Letters 172, 109726 (2026)
From the Self-Dual Yang–Mills Equation to the Fokas–Lenells Equation
. Studies in Applied Mathematics 155(4), e70126 (2025)
Soliton resonances in four dimensional Wess-Zumino-Witten model
. Physical Review D 111(8), 086023 (2025)
Direct linearization of the SU(2) anti-self-dual Yang-Mills equation in various spaces
. Journal of Geometry and Physics 207, 105351 (2025)
Nonisospectral equations from the Cauchy matrix approach
. Reports on Mathematical Physics 94(1), 47-72 (2024)
Cauchy matrix approach to three non-isospectral nonlinear Schrödinger equations
. Communications in Theoretical Physics 76(5), 055001 (2024)
Cauchy matrix structure and solutions of the spin-1 Gross–Pitaevskii equations
. Communications in Nonlinear Science and Numerical Simulation 129, 107705 (2024)
On the extended 2-dimensional Toda lattice models
. Theoretical and Mathematical Physics 221(3), 2049-2061 (2024)
Solutions to the SU(N) self-dual Yang–Mills equation
. Physica D: Nonlinear Phenomena 453, 133828 (2023)
Cauchy matrix approach to the SU(2) self-dual Yang–Mills equation
. Studies in Applied Mathematics 148(4), 1703-1721 (2022)
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources
. Theoretical and Mathematical Physics 213(3), 1686-1697 (2022)
Symmetric discrete AKP and BKP equations
. Journal of Physics A: Mathematical and Theoretical 54(7), 075201 (2021)
Talks & activities
Scientific exchange.
Sato-theoretic construction of the ASDYM hierarchy and the Ward conjecture
- Event
- Integrability, Self-Duality, and Twistor Theory
- Location
- Nagoya University, Nagoya, Japan
On soliton-preserving anti-self-dual Yang-Mills reductions
- Event
- Development and Applications of New Mathematical Methods for Discrete Integrable Systems
- Location
- Yamagata University, Yamagata, Japan
From self-dual Yang-Mills equation to Fokas-Lenells equation
- Event
- Waseda Workshop on Discrete Integrable Systems and Related Topics
- Location
- Waseda University, Tokyo, Japan
Cauchy matrix approach, Sylvester equation, self-dual Yang-Mills equation and their relationship with integrable system
- Event
- From Nonlinear Wave to Integrable System 2024
- Location
- Fukui University, Fukui, Japan
Solutions to the SU(N) self-dual Yang-Mills equation
- Event
- International Seminar-Type Online Workshop on Noncommutative Integrable Systems
- Location
- Nagoya University, Nagoya, Japan
Integrability, Self-Duality, and Twistor Theory
- Location
- Nagoya University, Nagoya, Japan
- Co-organizers
- Masashi Hamanaka, Shangshuai Li, Shintaro Yanagida
About & contact
Contact & academic profiles.
Contact details
Shangshuai Li
Ningbo University
- Academic title
- Lecturer
- Public email
- lishangshuai@shu.edu.cn
Academic profiles
Appointments & visits
2025–present
Lecturer
Ningbo University · Ningbo, China
2025–present
JSPS Fellow
Nagoya University · Nagoya, Japan
Host: Masashi Hamanaka
2024–2025
Visiting Research Fellow
Waseda University · Tokyo, Japan
Host: Kenichi Maruno
2019
Exchange Student
La Trobe University · Victoria, Australia
Host: Peter van der Kamp
Education
2019–2025
Doctor of Science
Shanghai University · Shanghai, China
Advisor: Da-jun Zhang
Thesis: Direct method to the self-dual Yang-Mills equation
2015–2019
Bachelor of Science
Shanghai University · Shanghai, China