Tau-Functions and Generalized Integrable Hierarchies
High Energy Physics - Theory
2009-10-22 v1 Exactly Solvable and Integrable Systems
solv-int
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.
Keywords
Cite
@article{arxiv.hep-th/9208058,
title = {Tau-Functions and Generalized Integrable Hierarchies},
author = {Timothy Hollowood and J. Luis Miramontes},
journal= {arXiv preprint arXiv:hep-th/9208058},
year = {2009}
}
Comments
23 pages