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arXiv · hep-th/9208058

Tau-Functions and Generalized Integrable Hierarchies

Timothy Hollowood·J. Luis Miramontes
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Abstract

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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Timothy Hollowood, J. Luis Miramontes. 1992-08-24. Tau-Functions and Generalized Integrable Hierarchies. https://doi.org/10.1007/bf02098021

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