A Lie algebraic setting for Miura maps related to an energy dependent linear problem

DOI10.1007/BF02097007zbMath0724.58032MaRDI QIDQ757930

Ian Marshall

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian structureintegrable systemcoadjoint actionMiura maps

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Infinite-dimensional Lie (super)algebras (17B65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (4)

An \(r\)-matrix interpretation of modified systems ⋮ Modified systems found by symmetry reduction on the cotangent bundle of a loop group ⋮ Novikov Algebras and a Classification of Multicomponent Camassa-Holm Equations ⋮ Hamiltonian Structures on Coadjoint Orbits of Semidirect Product G = Diff+(S 1) ? < C ?(S 1, ?)

Cites Work

• Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
• Classical r-matrices and compatible Poisson brackets for coupled KdV systems
• Mathematics of dispersive water waves
• Dressing transformations and Poisson group actions
• Unnamed Item

This page was built for publication: A Lie algebraic setting for Miura maps related to an energy dependent linear problem