W-Algebras from Soliton Equations and Heisenberg Subalgebras

C. R. Fernandez-Pousa, M. V. Gallas, J. L. Miramontes +1

We derive sufficient conditions under which the ``second'' Hamiltonian structure of a class of generalized KdV-hierarchies defines one of the classical $\mathcal{W}$-algebras obtained t…