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nlin.SI2002
Polynomial τ-functions of the NLS-Toda hierarchy and the Virasoro singular vectors
Takeshi Ikeda, Hiro-Fumi Yamada
A family of polynomial τ-functions for the NLS-Toda hierarchy is constructed. The hierarchy is associated with the homogeneous vertex operator representation of the affine algebra…
nlin.SI2000
Toroidal Lie algebras and Bogoyavlensky's 2+1-dimensional equation
T. Ikeda, K. Takasaki
We introduce an extension of the \ell-reduced KP hierarchy, which we call the \ell-Bogoyavlensky hierarchy. Bogoyavlensky's 2+1-dimensional extension of the KdV equation is the low…