Integrable systems for \(\overline\partial\) operators of non-zero index

DOI10.1016/S0375-9601(97)00655-5zbMath0969.37524OpenAlexW2055160045MaRDI QIDQ1966483

B. G. Konopelchenko, Luis Martínez-Alonso

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00655-5

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) Inverse problems involving ordinary differential equations (34A55)

Related Items (2)

Integrable systems for \(\overline\partial\) operators of non-zero index ⋮ Singular sector of the Kadomtsev–Petviashvili hierarchy, ∂̄ operators of nonzero index, and associated integrable systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solitons and infinite dimensional Lie algebras
• Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
• Determinants of Cauchy-Riemann operators as \(\tau\)-functions
• Actions with a finite number of orbits
• Loop groups and equations of KdV type
• Coupled KdV equations with multi-Hamiltonian structures
• Limit matrices for the Toda flow and periodic flags for loop groups
• Birkhoff strata, Bäcklund transformations, and regularization of isospectral operators
• Integrable systems for \(\overline\partial\) operators of non-zero index
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
• The inverse scattering transform: Semi-infinite interval

This page was built for publication: Integrable systems for \(\overline\partial\) operators of non-zero index