Lax equations, factorization and Riemann-Hilbert problems

DOI10.4171/PM/1793zbMath1136.37030MaRDI QIDQ2479752

Pedro F. dos Santos, António F. dos Santos, M. Cristina Câmara

Publication date: 3 April 2008

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

zbMATH Keywords

Riemann surfacesWiener-Hopf factorizationinfinite-dimensional settingfinite-dimensional integrable systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Global Riemannian geometry, including pinching (53C20) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Riemann-Hilbert problems in context of PDEs (35Q15) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items (6)

Factorization in a torus and Riemann-Hilbert problems ⋮ Matrix Riemann--Hilbert problems and factorization on Riemann surfaces ⋮ Riemann-Hilbert problems, Toeplitz operators and \({\mathfrak{Q}}\)-classes ⋮ Lax equations, singularities and Riemann-Hilbert problems ⋮ Factorization of a class of symbols with outer functions ⋮ Matrix-valued Laurent polynomials, parametric linear systems and integrable systems

Cites Work

• What is a classical r-matrix?
• Monopoles and Baker functions
• Factorization of matrix functions and singular integral operators
• Explicit Wiener–Hopf factorization and nonlinear Riemann–Hilbert problems
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