Classification of solutions to Toda systems of types \(C\) and \(B\) with singular sources

DOI10.1007/S00526-016-0998-3zbMath1346.35056arXiv1508.06188OpenAlexW2963690574MaRDI QIDQ2628986

Zhaohu Nie

Publication date: 19 July 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06188

zbMATH Keywords

Toda systemsingular source

Mathematics Subject Classification ID

Applications of Lie algebras and superalgebras to integrable systems (17B80) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (7)

Sharp upper bound of the number of solutions for the \(\mathrm{SU} (N + 1)\) Toda system on torus with non-critical parameters ⋮ Toda systems and hypergeometric equations ⋮ Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains ⋮ A priori estimates for \(D_4\) and \(F_4\) Toda systems ⋮ On the general Toda system with multiple singular points ⋮ On number and evenness of solutions of the \(SU(3)\) Toda system on flat tori with non-critical parameters ⋮ Even solutions of some mean field equations at non-critical parameters on a flat torus

Cites Work

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• Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
• Solving Toda field theories and related algebraic and differential properties
• Classification of solutions of some nonlinear elliptic equations
• Classification and nondegeneracy of \(SU(n+1)\) Toda system with singular sources
• Toda theory and \({\mathcal W}\)-algebra from a gauged WZNW point of view
• On Non-topological Solutions of the 𝐴₂ and 𝐵₂ Chern-Simons System
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• On characteristic integrals of Toda field theories
• On Toda system with Cartan matrix $G_2$
• Lie groups beyond an introduction
• The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory

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