On the Classical $W_4^{(2)}$ Algebra

Abstract

We consider the classical \w42 algebra from the integrable system viewpoint. The integrable evolution equations associated with the \w42 algebra are constructed and the Miura maps , consequently modifications, are presented. Modifying the Miura maps, we give a free field realization the classical \w42 algebra. We also construct the Toda type integrable systems for it.

14 pages, latex, no figures

References in corpus (6)

• W-symmetry in Conformal Field Theory
• Classical A_n--W-Geometry
• Generalized Drinfeld-Sokolov Reductions and KdV Type Hierarchies
• Non-Local Matrix Generalizations of W-Algebras
• Multi-Component KdV Hierarchy, V-Algebra and Non-Abelian Toda Theory
• On the classical $W_N^{(l)}$ algebras