Tau functions and generalized integrable hierarchies

Jul, 1992
25 pages
Published in:
  • Commun.Math.Phys. 157 (1993) 99-118
e-Print:
Report number:
  • OUTP-92-15-P,
  • CERN-TH-6594-92

Citations per year

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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.
  • Korteweg-de Vries equation
  • differential equations: hierarchy
  • integrability
  • algebra: Lie
  • algebra: Kac-Moody