We report on generalizations of the KdV-type integrable hierarchies of Drinfel'd and Sokolov. These hierarchies lead to the existence of new classical W-algebras, which arise as the second hamiltonian structure of the hierarchies. In particular, we present a construction of the W(n)(l)-algebras.
机构:
Univ London, Dept Math, London EC1V 0HB, England
Royal Inst Great Britain, London Inst Math Sci, London W1S 4BS, EnglandUniv London, Dept Math, London EC1V 0HB, England