23 citations · 31 across the 2 of their papers we have counts for
3 papers
hep-th1991★ 8 cited
Coadjoint Orbits of the Generalised Sl(2) Sl(3) Kdv Hierarchies
Nigel J. Burroughs
In this paper we develop two coadjoint orbit constructions for the phase spaces of the generalised and KdV hierachies. This involves the construction of two group a…
hep-th1991★ 23 cited
Generalized W-algebras and Integrable Hierarchies
N. Burroughs, M. de Groot, T. Hollowood +1
We report on generalizations of the KdV-type integrable hierarchies of Drinfel'd and Sokolov. These hierarchies lead to the existence of new classical -algebras, which arise as…
hep-th1991
Generalized Drinfeld-Sokolov Hierarchies II: The Hamiltonian Structures
Nigel J. Burroughs, Mark F. deGroot, Timothy J. Hollowood +1
In this paper we examine the bi-Hamiltonian structure of the generalized KdV-hierarchies. We verify that both Hamiltonian structures take the form of Kirillov brackets on the Kac-M…