Tau-Functions and Generalized Integrable Hierarchies

Details Tau-Functions and Generalized Integrable Hierarchies Tau-Functions and Generalized Integrable Hierarchies

1992-08-24

arxiv.org/abs/hep-th/9208058v1

Commun.Math.Phys. 157 (1993) 99-118

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

10.1007/BF02098021

The tau-function formalism for a class of generalized ``zero-curvature'' integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel'd-Sokolov hierarchies. A direct relation between the variables of the zero-curvature formalism and the tau-functions is established. The formalism also clarifies the connection between the zero-curvature hierarchies and the Hirota-type hierarchies of Kac and Wakimoto.

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