The Painlevé III equation and the Iwasawa decomposition

DOI10.1007/BF02570481zbMath0827.35114MaRDI QIDQ1895752

Alexander Ivanovich Bobenko, Alexander R. Its

Publication date: 13 August 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156094

zbMATH Keywords

monodromy dataCauchy data at zerodata of the approach of Dorfmeister-Pedit-WuIwasawa decomposition of the loop groups

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (6)

Holomorphic representation of constant mean curvature surfaces in Minkowski space: consequences of non-compactness in loop group methods ⋮ Minimal Lagrangian surfaces in \(\mathbb{C}P^2\) via the loop group method. I: The contractible case ⋮ Minimal n -noids in hyperbolic and anti-de Sitter 3-space ⋮ On the Riemann-Hilbert-Birkhoff inverse monodromy problem associated with the third Painlevé equation ⋮ Isomonodromy aspects of the \(tt^*\) equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics ⋮ Self-associated three-dimensional cones

Cites Work

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• Monodromy problem and the boundary condition for some Painlevé equations
• The isomonodromic deformation method in the theory of Painlevé equations
• Monodromy- and spectrum-preserving deformations. I
• Weierstrass type representation of harmonic maps into symmetric spaces
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation

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