Lax equations, singularities and Riemann-Hilbert problems

DOI10.1007/s11040-012-9110-1zbMath1253.35092arXiv1010.2933OpenAlexW2056717648MaRDI QIDQ694506

António F. dos Santos, Pedro F. dos Santos

Publication date: 12 December 2012

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2933

zbMATH Keywords

integrable systemsToeplitz operatorsRiemann-Hilbert problems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (1)

Factorization of a class of symbols with outer functions

Cites Work

• What is a classical r-matrix?
• Matrix Riemann--Hilbert problems and factorization on Riemann surfaces
• Factorization of matrix functions and singular integral operators
• The complex geometry of the Lagrange top
• Lax equations, factorization and Riemann-Hilbert problems
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