TAU – FUNCTIONS AND GENERALIZED INTEGRABLE HIERARCHIES

@inproceedings{Hollowood1993TAUF,
  title={TAU – FUNCTIONS AND GENERALIZED INTEGRABLE HIERARCHIES},
  author={Timothy J. Hollowood},
  year={1993}
}
The tau-function formalism for a class of generalized “zero-curvature” integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel’dSokolov 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. 1 holl%dionysos.thphys@prg.oxford.ac.uk Address after 1… CONTINUE READING

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