Tau functions and generalized integrable hierarchies
Jul, 199225 pages
Published in:
- Commun.Math.Phys. 157 (1993) 99-118
e-Print:
- hep-th/9208058 [hep-th]
DOI:
Report number:
- OUTP-92-15-P,
- CERN-TH-6594-92
Citations per year
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.- Korteweg-de Vries equation
- differential equations: hierarchy
- integrability
- algebra: Lie
- algebra: Kac-Moody
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