Factorization and Poisson correspondences
type: Item
instance of: scholarly article
title: Factorization and Poisson correspondences
zbMATH Open document ID: 0865.58029
DOI: 10.1007/BF02070933
author: Allan P. Fordy
author: A. B. Shabat
author: A. P. Veselov
published in: Theoretical and Mathematical Physics
publication date: 1997-03-23T00:00:00Z
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 17B67
zbMATH DE Number: 993874
zbMATH Keywords: Darboux transformation
zbMATH Keywords: integrable infinite-dimensional Poisson correspondence
zbMATH Keywords: factorization
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: Kac-Moody algebras
zbMATH Keywords: stationary flows
MaRDI profile type: Publication
cites work: Integrable maps
cites work: Discrete versions of some classical integrable systems and factorization of matrix polynomials
cites work: Factorization of operators I. Miura transformations
cites work: Modifying Lax equations and the second Hamiltonian structure
cites work: Dressing transformations and Poisson group actions
cites work: Dressing chains and the spectral theory of the Schrödinger operator
cites work: Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
cites work: Lie algebras and equations of Korteweg-de Vries type
cites work: Q3732103
cites work: Applications of a commutation formula
cites work: Multicomponent Schwarzian KdV hierarchies
cites work: An algebro-geometric interpretation of the Bäcklund-transformation for the Korteweg-de Vries equation
cites work: The relationship between Hamiltonian formalisms of stationary and nonstationary problems
cites work: Recuttings of polygons
cites work: Integrable mappings and soliton equations
cites work: Factorization of operators.II
cites work: Integrable nonlinear Klein-Gordon equations and Toda lattices
cites work: Two-dimensional generalized Toda lattice
cites work: Introduction to Lie Algebras and Representation Theory
description: scientific article; zbMATH DE number 993874