A Lie algebraic setting for Miura maps related to an energy dependent linear problem
type: Item
instance of: scholarly article
title: A Lie algebraic setting for Miura maps related to an energy dependent linear problem
zbMATH Open document ID: 0724.58032
DOI: 10.1007/BF02097007
author: Ian Marshall
published in: Communications in Mathematical Physics
publication date: 1990-01-01T00:00:00Z
review text: By studying an enlargement of the Virasoro algebra, and considering the coadjoint action on its extended dual, Hamiltonian systems and related Miura maps are derived. Some examples are given, and the relation with a spectral problem is derived.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 4194765
zbMATH Keywords: Hamiltonian structure
zbMATH Keywords: integrable system
zbMATH Keywords: coadjoint action
zbMATH Keywords: Miura maps
MaRDI profile type: Publication
cites work: Classical r-matrices and compatible Poisson brackets for coupled KdV systems
cites work: Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
cites work: Q3963261
cites work: Dressing transformations and Poisson group actions
cites work: Mathematics of dispersive water waves
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description: scientific article; zbMATH DE number 4194765