ShuAIence Research Updates http://localhost:4321/ Research news, publications, talks, and AI projects from Shangshuai Li. en [News] Website architecture refactored http://localhost:4321/news/#news-website-architecture-refactored shuaience:news:website-architecture-refactored Mon, 20 Jul 2026 00:00:00 GMT News We refactored the website's codebase into a macOS-inspired research desktop and added in-browser previews for locally hosted PDF documents. [News] Website launched http://localhost:4321/news/#news-website-launched shuaience:news:website-launched Tue, 30 Jun 2026 00:00:00 GMT News We launched this website today. [Talk] On soliton-preserving anti-self-dual Yang-Mills reductions http://localhost:4321/talks/#talk-2026-03-22-soliton-preserving-asdym-reductions shuaience:talk:2026-03-22-soliton-preserving-asdym-reductions Sun, 22 Mar 2026 00:00:00 GMT Talk Talk · Development and Applications of New Mathematical Methods for Discrete Integrable Systems · Yamagata University, Yamagata, Japan [Publication] A unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reduction http://localhost:4321/publications/#publication-LiMarunoZhang2026Unified shuaience:publication:LiMarunoZhang2026Unified Sun, 01 Mar 2026 00:00:00 GMT Publication Publication · Shangshuai Li, Ken-ichi Maruno, Da-jun Zhang · arXiv preprint [Project] Academic Oracle http://localhost:4321/divination/ shuaience:project:academic-oracle Thu, 01 Jan 2026 00:00:00 GMT Project A three-card, tarot-inspired research reflection tool for drafts, proofs, submissions, collaborations, and uncertain methods. [Publication] The KdV hierarchy: Cauchy matrix approach http://localhost:4321/publications/#publication-HuangLiZhang2026KdV shuaience:publication:HuangLiZhang2026KdV Thu, 01 Jan 2026 00:00:00 GMT Publication Publication · Zichen Huang, Shangshuai Li, Da-jun Zhang · Applied Mathematics Letters [Talk] From self-dual Yang-Mills equation to Fokas-Lenells equation http://localhost:4321/talks/#talk-2025-01-09-sdym-to-fokas-lenells shuaience:talk:2025-01-09-sdym-to-fokas-lenells Thu, 09 Jan 2025 00:00:00 GMT Talk Talk · Waseda Workshop on Discrete Integrable Systems and Related Topics · Waseda University, Tokyo, Japan [Publication] Soliton resonances in four dimensional Wess-Zumino-Witten model http://localhost:4321/publications/#publication-LiHamanakaHuangZhang2025WZW shuaience:publication:LiHamanakaHuangZhang2025WZW Wed, 01 Jan 2025 00:00:00 GMT Publication Publication · Shangshuai Li, Masashi Hamanaka, Shan-Chi Huang, Da-Jun Zhang · Physical Review D [Publication] From the self-dual Yang-Mills equation to the Fokas-Lenells equation http://localhost:4321/publications/#publication-LiLiuZhang2025FokasLenells shuaience:publication:LiLiuZhang2025FokasLenells Wed, 01 Jan 2025 00:00:00 GMT Publication Publication · Shangshuai Li, Shuzhi Liu, Da-jun Zhang · Studies in Applied Mathematics [Publication] Direct linearization of the SU(2) anti-self-dual Yang-Mills equation in various spaces http://localhost:4321/publications/#publication-LiZhang2025Direct shuaience:publication:LiZhang2025Direct Wed, 01 Jan 2025 00:00:00 GMT Publication Publication · Shangshuai Li, Da-jun Zhang · Journal of Geometry and Physics [Publication] On the extended 2-dimensional Toda lattice models http://localhost:4321/publications/#publication-WangLiZhang2024Toda shuaience:publication:WangLiZhang2024Toda Sun, 01 Dec 2024 00:00:00 GMT Publication Publication · Conghan Wang, Shangshuai Li, Da-jun Zhang · Theoretical and Mathematical Physics [Talk] Cauchy matrix approach, Sylvester equation, self-dual Yang-Mills equation and their relationship with integrable system http://localhost:4321/talks/#talk-2024-11-08-cauchy-matrix-sdym-integrable-system shuaience:talk:2024-11-08-cauchy-matrix-sdym-integrable-system Fri, 08 Nov 2024 00:00:00 GMT Talk Talk · From Nonlinear Wave to Integrable System 2024 · Fukui University, Fukui, Japan [Publication] Nonisospectral equations from the Cauchy matrix approach http://localhost:4321/publications/#publication-TeferaLiZhang2024NonisospectralEquations shuaience:publication:TeferaLiZhang2024NonisospectralEquations Thu, 01 Aug 2024 00:00:00 GMT Publication Publication · Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang · Reports on Mathematical Physics [Publication] Cauchy matrix approach to three non-isospectral nonlinear Schrödinger equations http://localhost:4321/publications/#publication-TeferaLiZhang2024NLS shuaience:publication:TeferaLiZhang2024NLS Wed, 01 May 2024 00:00:00 GMT Publication Publication · Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang · Communications in Theoretical Physics [Talk] Solutions to the SU(N) self-dual Yang-Mills equation http://localhost:4321/talks/#talk-2024-03-15-solutions-su-n-sdym shuaience:talk:2024-03-15-solutions-su-n-sdym Fri, 15 Mar 2024 00:00:00 GMT Talk Talk · International Seminar-Type Online Workshop on Noncommutative Integrable Systems · Nagoya University, Nagoya, Japan [Publication] Cauchy matrix structure and solutions of the spin-1 Gross-Pitaevskii equations http://localhost:4321/publications/#publication-LiZhang2024Spin1GrossPitaevskii shuaience:publication:LiZhang2024Spin1GrossPitaevskii Thu, 01 Feb 2024 00:00:00 GMT Publication Publication · Shangshuai Li, Da-jun Zhang · Communications in Nonlinear Science and Numerical Simulation [Publication] Solutions to the SU(N) self-dual Yang-Mills equation http://localhost:4321/publications/#publication-LiQuZhang2023SUN shuaience:publication:LiQuZhang2023SUN Sun, 01 Jan 2023 00:00:00 GMT Publication Publication · Shangshuai Li, Changzheng Qu, Da-jun Zhang · Physica D: Nonlinear Phenomena [Publication] Cauchy matrix approach to the noncommutative Kadomtsev-Petviashvili equation with self-consistent sources http://localhost:4321/publications/#publication-ShiLiZhang2022NoncommutativeKP shuaience:publication:ShiLiZhang2022NoncommutativeKP Thu, 01 Dec 2022 00:00:00 GMT Publication Publication · Zhihao Shi, Shangshuai Li, Da-jun Zhang · Theoretical and Mathematical Physics [Publication] Cauchy matrix approach to the SU(2) self-dual Yang-Mills equation http://localhost:4321/publications/#publication-LiQuYiZhang2022Cauchy shuaience:publication:LiQuYiZhang2022Cauchy Sat, 01 Jan 2022 00:00:00 GMT Publication Publication · Shangshuai Li, Changzheng Qu, Xiangxuan Yi, Da-jun Zhang · Studies in Applied Mathematics [Publication] Symmetric discrete AKP and BKP equations http://localhost:4321/publications/#publication-LiNijhoffSunZhang2021Symmetric shuaience:publication:LiNijhoffSunZhang2021Symmetric Fri, 01 Jan 2021 00:00:00 GMT Publication Publication · Shangshuai Li, Frank W. Nijhoff, Ying-ying Sun, Da-jun Zhang · Journal of Physics A: Mathematical and Theoretical