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Tau-functions and generalized intergrable hierarchies / J.Luis Miramontes; Timothy Hollowood

Communications in Mathematical Physics, Volume: "157", Issue: 1, Pages: 99 - 118

Swansea University Author: Timothy, Hollowood

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DOI (Published version): 10.1007/BF02098021

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-...

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Published in: Communications in Mathematical Physics
ISSN: 0010-3616 1432-0916
Published: 1992
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URI: https://cronfa.swan.ac.uk/Record/cronfa28591
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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
College: College of Science
Issue: 1
Start Page: 99
End Page: 118