A loop algebra co-adjoint orbit construction of the generalized KdV hierarchies

DOI10.1088/0951-7715/6/4/005zbMath0780.35099OpenAlexW2038988403MaRDI QIDQ3137377

Nigel J. Burroughs

Publication date: 1993

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/6/4/005

zbMATH Keywords

current algebragauge groupbi-Hamiltonian structureconformal symmetryenergy momentum tensorKdV hierarchiesAdler-Kostant-Symes construction

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (3)

AKS hierarchy and bi-Hamiltonian geometry of Gelfand–Zakharevich type ⋮ Adler–Kostant–Symes construction, bi-Hamiltonian manifolds, and KdV equations ⋮ Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions

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