Classifying solutions of \(\mathrm{SU}(n+1)\) Toda system around a singular source

DOI10.1090/PROC/16785MaRDI QIDQ6498395

Yiqian Shi, Tianyang Sun, Bin Xu, Jingyu Mu

Publication date: 7 May 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

regular singularity\(\mathrm{SU}(n+1)\) Toda systemunitary curve

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Second-order elliptic systems (35J47)

Cites Work

• Holomorphic curves and Toda systems
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Asymptotic radial symmetry for solutions of \(\Delta u+e^ u=0\) in a punctured disc
• Classification and nondegeneracy of \(SU(n+1)\) Toda system with singular sources
• Classical \(A_ n\)-W-geometry
• On a class of elliptic problems in R²: symmetry and uniqueness results
• Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions
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