Segal-Wilson approach to integrable systems and Riemann-Hilbert problems

DOI10.1016/j.jmaa.2016.05.029zbMath1359.37134OpenAlexW2399225511MaRDI QIDQ302027

Pedro F. dos Santos, António F. dos Santos

Publication date: 4 July 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.05.029

zbMATH Keywords

integrable systemsfactorizationRiemann-Hilbert problems

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Boundary value problems in the complex plane (30E25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Riemann-Hilbert problems in context of PDEs (35Q15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matrix Riemann--Hilbert problems and factorization on Riemann surfaces
• Loop groups and equations of KdV type
• Factorization of matrix functions and singular integral operators
• The Korteweg-de Vries equation and beyond
• Factorization of a class of symbols with outer functions
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Theta functions and non-linear equations
• On the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
• The Riemann–Hilbert Problem and Inverse Scattering
• The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation
• Traces and determinants of linear operators